# In a test of the hypothesis Ho: Âµ = 50 vs

In a test of the hypothesis Ho: µ = 50 vs. Ha: µ ≠ 50, a sample of n = 100 observations possessed the mean, sample mean (x-bar) of 50.3 and a standard deviation s = 2.1. Find the p-value for this test.

**Solution: **We need to test

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This corresponds to a two-tailed test. The z-statistics is computed as

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The p-value is defined as

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Since the p-value is not less than the significance level (0.05), we fail to reject the null hypothesis.

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