Question

Consider the following hypotheses: Ho: u = 23 HA: H * 23 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) 26 25 23 27 27 21 24 Click here for the Excel Data File a. Find the mean and the standard deviation. (Round your answers to 2 decimal places.) Mean Standard deviation b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic

Answer 1

The statistical software output for this problem is :

One sample T hypothesis test: u: Mean of variable Hou =23 HA123 Hypothesis test results: Variable Sample Mean Std. Err. Data 24.714286 0.83706647 DF T-Stat 6 2.0479684 P-value 0.0865

(a)

Mean = 24.71

Standard deviation = 2.21

(b)

Test statistics = 2.05

(c)

0.05 s p-value < 0.10

(d)

Reject Hy since the p-value is smaller than a.

(e)

We cannot conclude that the population mean differs from 23.