Question

A sample of 8 pieces of data is collected and we wish to perform the level test vs. . The population standard deviation is known to be .55. The sample mean is used to calculate the data z value of . Determine the p-value.

Answer 1

0.0009

Explanation:

`\mu=4`

`\sigma=0.55`

n = 8

This is the left tailed test .

The null and alternative hypothesis is ,

`H_0:\mu=4`

`Ha:\mu <4`

Test statistic = z=-3.12 from the table.

P(z <-3.12 ) = 0.0009

P-value =0.0009