Do the poor spend more time in the shower than the rich? The results of a survey asking poor and rich people how many minutes they spend in the shower are shown below. Poor  10     14     16     24     30     23     19     40     27     40     19 Rich:  11     20     14     2     22     23     21     5     3     17     16     23     24 Assume both follow a Normal distribution.  What can be concluded at the the αα = 0.05 level of significance level of significance? 1. For this study, we should use? Select an answer: t-test for a population mean? t-test for the difference between two dependent population means ? t-test for the difference between two independent population means? z-test for a population proportion? or  z-test for the difference between two population proportions? 2. The null and alternative hypotheses would be:        H0: Select an answer μ1  or p1 ?  Select an answer >,  =,  <, or ≠  ? Select an answer p2 or   μ2 ? (please enter a decimal)     H1:  Select an answer:  μ1 or  p1 ?  Select an answer ≠,  =,  >, or  < ? Select an answer μ2  or p2 ?  3. The test statistic : t  or   z ?  =_______  (please show your answer to 3 decimal places.) 4. The p-value = ______  (Please show your answer to 4 decimal places.) 5. The p-value is ? ≤   or   > 6. Based on this, we should? Select an answer accept? fail to reject? or reject?   the null hypothesis. 7. Thus, the final conclusion is that ... The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population mean time in the shower for the poor is more than the population mean time in the shower for the rich. The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population mean time in the shower for the poor is more than the population mean time in the shower for the rich. The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the mean time in the shower for the eleven poor people that were surveyed is more than the mean time in the shower for the thirteen rich people that were surveyed. The results are statistically insignificant at αα = 0.05, so there is statistically significant evidence to conclude that the population mean time in the shower for the poor is equal to the population mean time in the shower for the rich.

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Do the poor spend more time in the shower than the rich? The results of a survey asking poor and rich people how many minutes they spend in the shower are shown below.

Poor  10     14     16     24     30     23     19     40     27     40     19

Rich:  11     20     14     2     22     23     21     5     3     17     16     23     24

Assume both follow a Normal distribution.  What can be concluded at the the αα = 0.05 level of significance level of significance?

1. For this study, we should use? Select an answer: t-test for a population mean? t-test for the difference between two dependent population means ? t-test for the difference between two independent population means? z-test for a population proportion? or  z-test for the difference between two population proportions?

2. The null and alternative hypotheses would be:   

      

 H0: Select an answer μ1  or p1 ?  Select an answer >,  =,  <, or ≠  ? Select an answer p2 or   μ2 ? (please enter a decimal)   

 H1:  Select an answer:  μ1 or  p1 ?  Select an answer ≠,  =,  >, or  < ? Select an answer μ2  or p2 ? 

3. The test statistic : or   z ?  =_______  (please show your answer to 3 decimal places.)

4. The p-value = ______  (Please show your answer to 4 decimal places.)

5. The p-value is ? ≤   or   >

6. Based on this, we should? Select an answer accept? fail to reject? or reject?   the null hypothesis.

7. Thus, the final conclusion is that ...

  • The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population mean time in the shower for the poor is more than the population mean time in the shower for the rich.
  • The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population mean time in the shower for the poor is more than the population mean time in the shower for the rich.
  • The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the mean time in the shower for the eleven poor people that were surveyed is more than the mean time in the shower for the thirteen rich people that were surveyed.
  • The results are statistically insignificant at αα = 0.05, so there is statistically significant evidence to conclude that the population mean time in the shower for the poor is equal to the population mean time in the shower for the rich.
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