26 Consider the following hypotheses H0 204 A sample of 76 o

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Consider the following hypotheses:

H₀: 204

A sample of 76 observations results in a sample mean of 188. The population standard deviation is known to be 16. Use Table 1.

What is the critical value for the test with = 0.10 and with = 0.01? (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to 4 decimal places. Round your answer to 2 decimal places.)

Does the above sample evidence enable us to do not reject the null hypothesis at = 0.10?

Does the above sample evidence enable us to do not reject the null hypothesis at = 0.01?

Consider the following hypotheses:

Solution

PopulationMean 204 Sample mean 188 n 76 sigma 16 Std error 1.835325871 Mean diff -16 Test statistic -8.71780 Critical value one tailed z 0.10 -1.28 z0.01 -2.33 No since the value of the test statistic is less than the negative critical value.