Question

able legs made in your factory are unusable if their diameter is either too large or too small. The target diameter is 4 centimeters, with a known standard deviation of 0.3 centimeters. You take a sample of 5 table legs and find that their mean diameter is 4.2 centimeters. (Assume that the distribution is normal.)

For the following, round all answers to no fewer than 4 decimal places.

Write the null and alternative hypotheses to determine if the manufacturing process is working as expected.
H0:μ	Answer
H1:μ	Answer
Compute the test statistic: z=	Answer
Find the corresponding p-value: P=	Answer
Using α=0.025, has the mean size of table legs drifted significantly?

Answer 1

This is the two tailed test .

The null and alternative hypothesis is

H₀ : = 4

H_a : 4

Test statistic = z

= ( - ) /    / n

= (4.2 - 4) / 0.3 / 5

= 1.4907

Test statistic = 1.4907

P-value = 0.1360

P-value >

Fail to reject the null hypothesis .

has the mean size of table legs drifted significantly? No