Question

Consider the following hypotheses: H0: μ = 32 HA: μ ≠ 32 The population is normally distributed. A sample produces the following observations: (You may find it useful to reference the appropriate table: z table or t table) 31 32 33 37 37 31 37 Click here for the Excel Data File a. Find the mean and the standard deviation. (Round your answers to 2 decimal places.) b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Answer 1

Solution :

n = 7

= = 238 / 7 = 34

s = (x - )² / n - 1 = (50 / 6) = 2.89

This is the two tailed test .

= 32

s = 2.89

n = 7

df = 7 - 1 = 6

Test statistic = z

= ( - ) / / n

= (34 - 32) / 2.89 / 7

= 1.83

Test statistic = 1.83