Question

# able legs made in your factory are unusable if their diameter is either too large or...

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?

This is the two tailed test .

The null and alternative hypothesis is

H0 : = 4

Ha : 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

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