統計と確率
データ分析、確率分布、仮説検定、統計手法。
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question 1 a publication reports that 42% of adults believe that radio …
The false statement is “The difference between 0.42 and 0.39 is small, and this means the results are statistically significant but not practically significant.”
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let the sample space be ( s = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} ). suppos…
\( 0.3 \)
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what is the type of correlation between the outside temperature (x axis…
negative
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in a certain algebra 2 class of 29 students, 11 of them play basketball…
\(\frac{5}{29}\)
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in a certain algebra 2 class of 27 students, 22 of them play basketball…
\(\frac{5}{27}\)
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in a certain algebra 2 class of 28 students, 11 of them play basketball…
\(\frac{9}{28}\)
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in a certain algebra 2 class of 28 students, 21 of them play basketball…
\(\frac{9}{14}\)
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8 multiple choice 0.5 points 1. the jamison family kept a log of the di…
From 1 to 2 hours.
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the formula ( v = bh ) means that the volume of a prism is equal to its…
B. \( B=\frac{V}{h} \)
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read the examples of how someone might feel after moving to a new place…
To solve this matching problem, we analyze each example and match it with the appropriate challenge: 1. **"I used to wear sandals every day, but no one here does."** This is about…
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10. give examples of a 100% increase, 100% decrease, and 100% error. ex…
### 100% Increase Example: #### Step 1: Define the concept A 100% increase means the new value is the original value plus 100% of the original value (which is the original value i…
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a scale measures weight to the nearest 0.1 pounds. which is the most ap…
A. 152.2 pounds
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you invest in a new play. the cost includes an overhead of $27500, plus…
a. \(C(x)=27500 + 2500x\) b. \(R(x)=3125x\) c. The break - even point is \((44,137500)\), which means when 44 performances are sold out, the total cost and total revenue are both …
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you invest in a new play. the cost includes an overhead of $27,500, plu…
a. \( C(x)=27500 + 2500x \) b. \( R(x)=3125x \) c. The break - even point is \( (44,137500) \). It means when the number of sold - out performances \( x = 44 \), the total cost is…
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q14. using the data values given, answer parts a through e. 5 5 5 5 12 …
\(\approx 5.87\) ### Part b: Find the median
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you invest in a new play. the cost includes an overhead of $27,500, plu…
a. \(C(x)=27500 + 2500x\) b. \(R(x)=3125x\) c. Break - even point \(x = 44\). It means when 44 sold - out performances occur, total cost equals total revenue (no profit or loss).
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which excerpt from \the scarlet ibis\ most foreshadows that the narrato…
C. There is within me (and with sadness I have watched it in others) a knot of cruelty borne by the stream of love, much as our blood sometimes bears the seed of our destruction, …
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the practice of selective incorporation means that the bill of rights w…
sometimes be applied to the states by the Court.
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a mathematics teacher wanted to see the correlation between test scores…
Linear regression equation: \( y = 0.7x + 19.9 \). Projected test grade for \( x = 83 \): \( 78 \)
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the annual profits for a company are given in the following table, wher…
The linear regression equation is \(y = 16.7x+138.8\). The projected profit for 2006 is \(289\) (in thousands of dollars).
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guided practice: read the quote. with your group figure out the meaning…
1. First Quote: - Explicit: Free black people to be slaves and chattels. - Inference: Saw African - Americans as property, inferior. 2. Second Quote: - Explicit: Negroes in non - …
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where is the upper quartile in this box - and - whisker plot? 72 78 84 …
90 (corresponding to the option with value 90, e.g., if the option is D. 90, then D. 90)
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what is the median of this box - and - whisker plot? 18 14 9 12
9 (the option is C. 9 if we consider the options as A. 18, B. 14, C. 9, D. 12) So the answer is 9 (the option with 9).
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what is the greatest value in this box - and - whisker plot? 95 90 72 84
95
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what is the greatest value in this box - and - whisker plot? 25 30 35 4…
B. 50 (assuming the option with 50 is labeled as, for example, B. 50. If the original options had labels, we would use the correct label with the value. Since the user's options a…
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8 use <, >, or = to compare the measurements. 0.9 l 900 ml 64 cm 25 in.…
12
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which of the following is not part of the flow of events in variance an…
Working to ensure that all variances are favorable.
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which description explains the distribution of summer lunch programs in…
C. Most programs are concentrated in large cities.
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the difference between actual overhead costs incurred and the budgeted …
Controllable variance.
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standard costs are used in the calculation of: multiple choice price an…
Price and quantity variances.
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the following company information is available for march. the direct ma…
\(\$8,400\) unfavorable.
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the difference between budgeted overhead and the standard overhead appl…
Volume variance.
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find the mode of this stem - and - leaf plot. key: 6 | 8 means 68
69
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find the mode of this stem - and - leaf plot. key: 0 | 5 means 5
The mode of the data represented by the stem - and - leaf plot is 12.
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find the median of this stem - and - leaf plot. key: 2 | 5 means 25
30
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find the mode of this stem - and - leaf plot. key: 2 | 0 means 20
\(31\)
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use a stem - and - leaf plot to organize this data: 14, 16, 18, 23, 25 …
For the stem \( 1 \), the next leaf after 4 is \( 6 \). The completed stem - and - leaf plot is: \( 1\mid4\ 6\ 8 \) \( 2\mid3\ 5 \) (For the green boxed "?", the answer is \( 6 \))
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use a stem - and - leaf plot to organize this data: 14, 16, 18, 23, 25 …
4
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danika runs an adoption shelter for dogs. she adopts out twenty - four …
C. The dog population in the shelter decreased by an average of 8 dogs each day of the three - day weekend.
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brock eats 14 eggs each week. he eats the same amount of eggs each day …
D. Brock eats 2 eggs each day of the week.
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jessenia spends $5 on a treat every friday for 8 weeks. the equation be…
C. The change in Jessenia's money over the 8 weeks is $- 40$.
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what are the two decisions that you can make from performing a hypothes…
E. reject the null hypothesis, F. fail to reject the null hypothesis
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independent practice using the line provided, construct a box - and - w…
To construct the box - and - whisker plot: - Minimum: 10 - Q1: 20 - Median (Q2): 30 - Q3: 41 - Maximum: 65 On the given number line, mark 10 (left whisker end), draw a box from 20…
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independent practice using the line provided, construct a box - and - w…
\(3\)
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it is known that blood glucose level is normally distributed with a mea…
B. \(H_0:\mu = 100\)
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question 19 5 points the claim is that the mean number of soft drinks c…
A. \(H_1:\mu eq3\)
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question 18 which of the following describes the critical region? a out…
A. outcomes with very low probability if the null hypothesis is true
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if the sample data produces a test statistic(z - score) that is in the …
A. reject \( H_0 \)
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which of the following is not required when using the t - statistic a s…
D. population standard deviation
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on average babies under 3 months old sleep 12 hours a day. you suspect …
B. \(H_1:\mu<12\)
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4. the box - and - whisker plot below represents a set of grades in a c…
4) 75 - 88
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question 14 what happens to the standard error of m if sample size is e…
C. it equals the standard deviation
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question 13 identify the type of test, left, right or two - tailed give…
C. Two - tailed
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question 12 which of the following accurately describes a hypothesis te…
C. an inferential technique that uses the data from a sample to draw inferences about a population
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question 11 in any study the null hypothesis represents a statement of …
B. no difference
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the data set 5, 6, 7, 8, 9, 9, 9, 10, 12, 14, 17, 17, 18, 19, 19 repres…
The box - and - whisker plot with minimum 5, \(Q_1 = 8\), median ( \(Q_2\) ) = 10, \(Q_3 = 17\) and maximum 19 (the first plot, assuming the first plot in the options has these ch…
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question 10 the z -score boundaries for the critical region are determi…
C. alpha level
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2. the students in ms. glenns math class earned the grades shown below.…
To determine the correct box - and - whisker plot, we first find the five - number summary: - Minimum: 65 - Q1: 70 - Median: 82 - Q3: 90 - Maximum: 95 A box - and - whisker plot h…
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2. the students in ms. glenns math class earned the grades shown below.…
1) The box - and - whisker plot with minimum \(65\), \(Q_1 = 70\), median \(82\), \(Q_3 = 90\) and maximum \(95\) (the first plot).
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it is known that blood glucose level is normally distributed with a mea…
A. Left Tailed
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which box plot represents these data? 1) 2) 3) 4)
2) The box - plot with the left whisker, a box starting near 70, and the right whisker extending to 85.
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1. the heights, in inches, of eight football players are given below. 7…
Since the problem is not fully stated (it just provides the data but no specific question like finding mean, median, mode, range, etc.), we can't proceed with a solution. If you w…
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2) first quartile, median, third quartile 4) median, third quartile, ma…
2) $Q_1$, $Q_3$, maximum
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question 8 the type of testing depends on the null hypothesis (h₀) a tr…
B. False
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it is believed that the mean weight gain for college freshmen is 5 poun…
C. \(H_1:\mu > 5\)
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9. the box - and - whisker plot shown below represents the number of ma…
4) median, third quartile, maximum
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the critical boundaries for a hypothesis test are z = + 1.96 and - 1.96…
B. fail to reject \(H_0\)
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the height of a lake decreases by 20 in over a period of time. the heig…
D. The time it takes for the lake to decrease in height by 20 in is 4 weeks.
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question 5 identify the type of test, left, right or two - tailed given…
B. Right
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in a small town, 10 residents move to new cities each year for 3 years.…
D. The total change in the number of residents in the town due to people moving away is $- 30$.
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7. based on the box - and - whisker plot below, which statement is fals…
4) The third quartile is 11.
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it is known that blood glucose level is normally distributed with a mea…
A. \(H_1:\mu < 100\)
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determine the type of correlation represented in the scatter plot below…
Negative correlation.
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a sample of 29 basil plants from a population with mean height of 50 cm…
A. 28
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in suburbs of large cities,15 new residents move in each year. of those…
Step2: Consider the multiplier The number \(5\) represents the number of years. When we calculate \(5\times12 = 60\), it means that over \(5\) years, with a net increase of \(12\)…
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in suburbs of large cities,15 new residents move in each year. of those…
C. After five years, there are 60 new residents in a suburb.
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question 2 it is known that blood glucose level is normally distributed…
\(-2.22\)
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during the last 15 years of his baseball career, andrew hit the followi…
- Minimum: \(8\) - 1st Quartile (\(Q_1\)): \(20\) - Median (\(Q_2\)): \(32\) - 3rd Quartile (\(Q_3\)): \(36\) - Maximum: \(40\) To construct the box - and - whisker plot: 1. Draw …
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3. the number of songs fifteen students have on their mp3 players is: 1…
- Minimum: \(120\) - 1st Quartile (\(Q_1\)): \(145\) - Median: \(292\) - 3rd Quartile (\(Q_3\)): \(407\) - Maximum: \(452\) To construct the box - and - whisker plot: 1. Draw a nu…
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identify the type of test, left, right or two - tailed given ( h_1:mult…
A. Left
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jamal loses 35 pounds. he loses the same number of pounds each week for…
B. The change in Jamal's weight each week is $- 5$.
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independent practice 1. the data set 20, 36, 52, 56, 24, 16, 40, 4, 28 …
To construct the box - plot: - Whisker left: \( 4 \) - Box left (Q1): \( 18 \) - Box middle (Median): \( 28 \) - Box right (Q3): \( 46 \) - Whisker right: \( 56 \) (When drawing o…
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2. the test scores from mrs. grays math class are shown below. 72, 73, …
To construct the box - and - whisker plot, we use the values: minimum = 66, Q1 = 72.5, median = 85, Q3 = 90, maximum = 95. The box - and - whisker plot will have a left whisker fr…
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brock eats 14 eggs each week. he eats the same amount of eggs each day …
D. Brock eats 2 eggs each day of the week.
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robin collected data on the number of hours she watched television on s…
The box plot has: - Minimum: \( 1 \) - Q1: \( 2 \) - Median (Q2): \( 3 \) - Q3: \( 4 \) - Maximum: \( 5 \) To construct the box plot: 1. Mark \( 1 \) (min) and \( 5 \) (max) on th…
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in suburbs of large cities,15 new residents move in each year. of those…
C. After five years, there are 60 new residents in a suburb.
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do now the accompanying diagram is an example of which type of graph? 1…
4) box - and - whisker plot
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danika runs an adoption shelter for dogs. she adopts out twenty - four …
C. The dog population in the shelter decreased by an average of 8 dogs each day of the three - day weekend.
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independent practice using the line provided, construct a box - and - w…
3
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jaren is going to fill up his pool after he has completed needed pool r…
C. It will take 31.25 hours to fill the pool after Jaren has repaired it.
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the height of a lake decreases by 20 in over a period of time. the heig…
D. The time it takes for the lake to decrease in height by 20 in is 4 weeks.
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do now which is the first quartile of these data? 4, 8, 3, 5, 4, 7, 6 a…
C. 3.5
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closure alicias test scores are 77, 86, 66, and 80. what score does she…
91
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3.the average age of twenty students is 12 years. if the teachers age i…
The age of the teacher is 33 years.
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members of the student government are planning a movie night on campus.…
360
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mr. lee is a librarian at eastside library. in examining a random sampl…
3556
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a drug trial had 238 participants. a survey was done to gather informat…
109 ### Part 2: How many participants had anxiety or nausea (or both)?
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izzos pizza sells four types of pizza crust. last week, the owner track…
240
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2.frank wants to have a bowling average of 215. the first 7 games he sc…
286
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a library loans out 3 books every day for a week and no books are retur…
C. The change in the number of books at the library over the course of the week was $- 21$.