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Hypothesis Testing of Mean

See attached file - Hypothesis Test for Population Mean

Hypothesis Test for Population Mean, σ Known

Carry out a hypothesis test for the population mean when the population
standard deviation is known.

Z-Test: Mean
hours
Mean
Standard Deviation
Observations
Hypothesized Mean
SIGMA
z Stat
P(Z < = z) one-tail
z Critical one-tail
P(Z < = z) two-tail
z Critical two-tail

Hours
1108.2
1078.3
1160.7
1097.5
1029.7
1002.6
1153.7
1099.9
906.8
1000.5
1042.6
1215.0
965.4
1109.1
1028.7
1087.4
1080.7
1067.6
1025.9
962.4
992.5
1145.0
958.6
1076.3
937.2
1332.0
1062.9
977.5
1081.7
958.1
1047.1
1241.0
1175.0
1234.0
990.5
1088.4
1026.9
967.7
1007.0
942.3

Attachments

Solution Preview

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Answer

The null hypothesis tested is

H0: Mean hours = 1030. (µ = 1030)

The alternative hypothesis is

H1: Mean hours ≠ 1030. (µ ≠ 1030)

The test statistic used is , where = 1061.61, n = 40,  = 93.60220466

Therefore, = ...

Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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