How to do tests of significance for a difference between two means - AP Statistics

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Question

Suppose you conduct a paired -test to assess whether two group means significantly differ and find a -score of 1.645. At what alpha level would this cause you to reject the null?

Answer

The critical value for a -test with alpha set to 0.10 is 1.645.

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Question

Bob wants to statistically determine if the mean height of middle school boys is greater than the mean height of middle school girls. He wants to use a significance level of What must be true for him to reject $H_{o}: \mu _{boys} = \mu _{girls}$ . $\sigma$ is known.

Answer

Step 1: We need to use a 2-sample z test because there are 2 samples, boys and girls. The population standard deviation, $\sigma$ , is known, so we can assume a standard distribution for each sample.

Step 2: This is a one-sided z test because the questions asks if the mean height of boys is greater than the mean height of girls.

$H_{o}: \mu _{boys}=\mu _{girls}$

$H_{a}: \mu _{boys}>\mu _{girls}$

Step 3: significance level, or alpha, is . This means we need a p-value less than in order to reject the null hypothesis $H_{o}$ . A z-score greater than would ensure a p-value less than .

Compare your answer with the correct one above

Question

Suppose you conduct a paired -test to assess whether two group means significantly differ and find a -score of 1.645. At what alpha level would this cause you to reject the null?

Answer

The critical value for a -test with alpha set to 0.10 is 1.645.

Compare your answer with the correct one above

Question

Bob wants to statistically determine if the mean height of middle school boys is greater than the mean height of middle school girls. He wants to use a significance level of What must be true for him to reject $H_{o}: \mu _{boys} = \mu _{girls}$ . $\sigma$ is known.

Answer

Step 1: We need to use a 2-sample z test because there are 2 samples, boys and girls. The population standard deviation, $\sigma$ , is known, so we can assume a standard distribution for each sample.

Step 2: This is a one-sided z test because the questions asks if the mean height of boys is greater than the mean height of girls.

$H_{o}: \mu _{boys}=\mu _{girls}$

$H_{a}: \mu _{boys}>\mu _{girls}$

Step 3: significance level, or alpha, is . This means we need a p-value less than in order to reject the null hypothesis $H_{o}$ . A z-score greater than would ensure a p-value less than .

Compare your answer with the correct one above

Question

Suppose you conduct a paired -test to assess whether two group means significantly differ and find a -score of 1.645. At what alpha level would this cause you to reject the null?

Answer

The critical value for a -test with alpha set to 0.10 is 1.645.

Compare your answer with the correct one above

Question

Bob wants to statistically determine if the mean height of middle school boys is greater than the mean height of middle school girls. He wants to use a significance level of What must be true for him to reject $H_{o}: \mu _{boys} = \mu _{girls}$ . $\sigma$ is known.

Answer

Step 1: We need to use a 2-sample z test because there are 2 samples, boys and girls. The population standard deviation, $\sigma$ , is known, so we can assume a standard distribution for each sample.

Step 2: This is a one-sided z test because the questions asks if the mean height of boys is greater than the mean height of girls.

$H_{o}: \mu _{boys}=\mu _{girls}$

$H_{a}: \mu _{boys}>\mu _{girls}$

Step 3: significance level, or alpha, is . This means we need a p-value less than in order to reject the null hypothesis $H_{o}$ . A z-score greater than would ensure a p-value less than .

Compare your answer with the correct one above

Question

Suppose you conduct a paired -test to assess whether two group means significantly differ and find a -score of 1.645. At what alpha level would this cause you to reject the null?

Answer

The critical value for a -test with alpha set to 0.10 is 1.645.

Compare your answer with the correct one above

Question

Bob wants to statistically determine if the mean height of middle school boys is greater than the mean height of middle school girls. He wants to use a significance level of What must be true for him to reject $H_{o}: \mu _{boys} = \mu _{girls}$ . $\sigma$ is known.

Answer

Step 1: We need to use a 2-sample z test because there are 2 samples, boys and girls. The population standard deviation, $\sigma$ , is known, so we can assume a standard distribution for each sample.

Step 2: This is a one-sided z test because the questions asks if the mean height of boys is greater than the mean height of girls.

$H_{o}: \mu _{boys}=\mu _{girls}$

$H_{a}: \mu _{boys}>\mu _{girls}$

Step 3: significance level, or alpha, is . This means we need a p-value less than in order to reject the null hypothesis $H_{o}$ . A z-score greater than would ensure a p-value less than .

Compare your answer with the correct one above

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How to do tests of significance for a difference between two means - AP Statistics

Suppose you conduct a paired -test to assess whether two group means significantly differ and find a -score of 1.645. At what alpha level would this cause you to reject the null?

The critical value for a -test with alpha set to 0.10 is 1.645.

Bob wants to statistically determine if the mean height of middle school boys is greater than the mean height of middle school girls. He wants to use a significance level of What must be true for him to reject . is known.

Suppose you conduct a paired -test to assess whether two group means significantly differ and find a -score of 1.645. At what alpha level would this cause you to reject the null?

The critical value for a -test with alpha set to 0.10 is 1.645.

Bob wants to statistically determine if the mean height of middle school boys is greater than the mean height of middle school girls. He wants to use a significance level of What must be true for him to reject . is known.

Suppose you conduct a paired -test to assess whether two group means significantly differ and find a -score of 1.645. At what alpha level would this cause you to reject the null?

The critical value for a -test with alpha set to 0.10 is 1.645.

Bob wants to statistically determine if the mean height of middle school boys is greater than the mean height of middle school girls. He wants to use a significance level of What must be true for him to reject . is known.

Suppose you conduct a paired -test to assess whether two group means significantly differ and find a -score of 1.645. At what alpha level would this cause you to reject the null?

The critical value for a -test with alpha set to 0.10 is 1.645.

Bob wants to statistically determine if the mean height of middle school boys is greater than the mean height of middle school girls. He wants to use a significance level of What must be true for him to reject . is known.

Bob wants to statistically determine if the mean height of middle school boys is greater than the mean height of middle school girls. He wants to use a significance level of What must be true for him to reject $H_{o}: \mu _{boys} = \mu _{girls}$ . $\sigma$ is known.

Bob wants to statistically determine if the mean height of middle school boys is greater than the mean height of middle school girls. He wants to use a significance level of What must be true for him to reject $H_{o}: \mu _{boys} = \mu _{girls}$ . $\sigma$ is known.

Bob wants to statistically determine if the mean height of middle school boys is greater than the mean height of middle school girls. He wants to use a significance level of What must be true for him to reject $H_{o}: \mu _{boys} = \mu _{girls}$ . $\sigma$ is known.

Bob wants to statistically determine if the mean height of middle school boys is greater than the mean height of middle school girls. He wants to use a significance level of What must be true for him to reject $H_{o}: \mu _{boys} = \mu _{girls}$ . $\sigma$ is known.