Question

Do men score lower on average compared to women on their statistics finals? Final exam scores...

Do men score lower on average compared to women on their statistics finals? Final exam scores of ten randomly selected male statistics students and ten randomly selected female statistics students are shown below.

Male:  65 69 91 56 85 82 59 92 81 78

Female:  71 85 99 69 99 65 86 79 64 98

Assume both follow a Normal distribution. What can be concluded at the the αα = 0.01 level of significance level of significance?

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

  1. The null and alternative hypotheses would be:   
  2.   

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

H1:H1:  Select an answer p1 μ1  ? = > < ≠  Select an answer μ2 p2  (Please enter a decimal)

  1. The test statistic ? z t  =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is ? ≤ >  αα
  4. Based on this, we should Select an answer reject fail to reject accept  the null hypothesis.

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