Consider the following hypothesis test: Ho: 15 Ha: 15 A sample of 50 provided a

Question

Consider the following hypothesis test: Ho: 15 Ha: 15 A sample of 50 provided a sample mean of 14.15. The population standard deviation is 3. a. Compute the value of the test statistic (to 2 decimals). If your answer is negative, use minus "-"sign. b. What is the p-value (to 4 decimals)? c. Using = .05, can it be concluded that the population mean is not equal to 152 select; Answer the next three questions using the critical value approach. d. Using = .05, what are the critical values for the test statistic? (+ or e. State the rejection rule: Reject Ho if z is Select f. Can it be concluded that the population mean is not equal to 15? the lower critical value and Select the upper critical value. select

Explanation / Answer

The statistical software output for this problem is:

One sample Z summary hypothesis test:
: Mean of population
H0 : = 15
HA : 15
Standard deviation = 3

Hypothesis test results:

Hence,

a) Test statistic = -2.00

b) p - Value = 0.0451

c) Yes

d) 1.96

e) Less than; Greater than

f) Yes

Mean n Sample Mean Std. Err. Z-Stat P-value 50 14.15 0.42426407 -2.0034692 0.0451

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