Question: A study is designed to test test hypotheses Ho: = 26 vs. Ha: < 26. The null hypothesis for this test will be rejected if

A study is designed to test test hypotheses Ho: = 26 vs. Ha: < 26. The null hypothesis for this test will be rejected if the sample mean is found to be less than 23.5.

A random sample of 50 subjects will be selected. If we assume that the true population standard deviation is 7.6 and that the actual value of the population mean (under Ha) is 24, what is the probability this test makes a Type II Error?

[Hint: since we are assuming is known, you will use Table Z to calculate this probability.]

Round your answer to 2 decimal places.

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