Question

question 4
if df = 3 at the 99% confidence level, what would be the critical value?
a 7.82
b 11.34
c 0.35
d 0.58
e 16.27
10 points
question 5
a scientist is rolling a die which has six possible outcomes. he is comparing the expected values of each number to see if the die is equally weighted. the chi - squared value of his experiment is 7.84. using the 95% confidence interval (0.05 probability value), is the die equally weighted?
a yes
b no

Explanation:

Question 4

Step1: Recall chi - squared critical value table

We use the chi - squared distribution table.

Step2: Locate values

For degrees of freedom $df = 3$ and 99% confidence level (significance level $\alpha=0.01$), we look up the value in the table.

Step1: Determine degrees of freedom

For a die with 6 possible outcomes, $df=6 - 1=5$.

Step2: Find critical value

For 95% confidence level ($\alpha = 0.05$) and $df = 5$, the critical chi - squared value from the table is 11.07.

Step3: Compare values

The calculated chi - squared value is 7.84. Since $7.84<11.07$, we fail to reject the null hypothesis that the die is equally weighted.

Answer:

B. 11.34

Question 5