Question

Answer questions 5 – 8 based on the following:
The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces. We
are interested in testing to determine whether the variance of the population is significantly more
than 0.003.
5. The null hypothesis is
a. s2 > 0.003
b. s2 ≤ 0.003
c. σ2 > 0.003
d. σ2 ≤ 0.003

6. The test statistic is
a. 1.2
b. 31.2
c. 30
d. 500

7. The p-value for this test is
a. 0.05
b. greater than 0.10
c. less than 0.10
d. 1.96

8. What is your conclusion? Use α = 0.05.
a. fail to reject the null hypothesis
b. reject the null hypothesis

Answer 1

5 ) The null hypothesis is ,  

The alternative hypothesis is ,

6) The test statistic is ,

7) The p-value is ,

p-value=

The Excel function is , =CHIDIST(30,25)

Here , the p-value for this test is greater than 0.10

8) Decision : Here , p-value=0.2236>

Therefore , fail to reject the null hypothesis.