To calculate the p-value for a given Z-score, we need to find the area to the right of the Z-score on the standard normal distribution, as the alternative hypothesis is 𝜇 5.

1. First, we need to look up the Z-score in the Z-table or use a calculator or statistical software that can calculate it. The Z-table gives us the area to the left of the Z-score.

2. For Z = 1.52, the area to the left is approximately 0.9357 (this value can be found in the Z-table or calculated using statistical software).

3. However, we need the area to the right of the Z-score, which is 1 - the area to the left. So, 1 - 0.9357 = 0.0643.

So, the p-value for Z = 1.52 is approximately 0.0643.

Question

To calculate the p-value for a given Z-score, we need to find the area to the right of the Z-score on the standard normal distribution, as the alternative hypothesis is 𝜇 > 5.

1. First, we need to look up the Z-score in the Z-table or use a calculator or statistical software that can calculate it. The Z-table gives us the area to the left of the Z-score.

2. For Z = 1.52, the area to the left is approximately 0.9357 (this value can be found in the Z-table or calculated using statistical software).

3. However, we need the area to the right of the Z-score, which is 1 - the area to the left. So, 1 - 0.9357 = 0.0643.

So, the p-value for Z = 1.52 is approximately 0.0643.

Knowee AI · Accepted Answer

To calculate the p-value for a given Z-score, we need to find the area to the right of the Z-score on the standard normal distribution, as the alternative hypothesis is 𝜇 > 5.

1. First, we need to look up the Z-score in the Z-table or use a calculator or statistical software that can calculate it. The Z-table gives us the area to the left of the Z-score.

2. For Z = 1.52, the area to the left is approximately 0.9357 (this value can be found in the Z-table or calculated using statistical software).

3. However, we need the area to the right of the Z-score, which is 1 - the area to the left. So, 1 - 0.9357 = 0.0643.

So, the p-value for Z = 1.52 is approximately 0.0643.

Suppose we are testing the hypotheses H0: 𝜇 = 5 versus Ha: 𝜇 > 5, and the conditions for performing the Z test are satisfied. For Z-score = 1.52, calculate the p-value.

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