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ch 20 the time (in number of days) until maturity of a certain variety …

Question

ch 20 the time (in number of days) until maturity of a certain variety of tomato plant is normally distributed. i select a simple random sample of four plants of this variety and measure the time until maturity. the sample yields xbar = 65 with standard deviation s = 2.4. you read on the package of seeds that these tomatoes reach maturity, on average, in 61 days. you want to test to see if your seeds are reaching maturity later than expected, which might indicate that your package of seeds is too old. the appropriate hypotheses are
ho: mu = 65, ha: mu < 65.
ho: mu = 65, ha: mu > 65.
ho: mu = 61, ha: mu > 61.
ho: mu = 61, ha: mu < 61.
question 3
ch 20* you are testing h_0: mu = 100 against h_a: mu > 100 based on an srs of 16 observations from a normal population. the t statistic is t = 2.13. the degrees of freedom for the t statistic are
17
15
16

Explanation:

Step1: Recall the formula for degrees of freedom in a t - test

The formula for degrees of freedom ($df$) in a one - sample t - test is $df=n - 1$, where $n$ is the sample size.

Step2: Identify the sample size

Given that the sample size $n = 16$.

Step3: Calculate the degrees of freedom

Substitute $n = 16$ into the formula $df=n - 1$. So, $df=16 - 1=15$.

Answer:

15