Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 83.2 69 65 64.3 64.3 74.4 69 73.5 62.7 61.9 Test grades are believed to be normally distributed. Use a significance level of 5%.   A.  State the alternative hypothesis: HA:HA: μ≠65μ≠65 μ>65μ>65 μ<65μ<65 B.     State the mean of the sample:   (Round answer to two decimal places.) ________ C.      State the standard error of the sample means:   (Round answer to four decimal places.) ________

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Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores:

Grades 83.2 69 65 64.3 64.3 74.4 69 73.5 62.7 61.9



Test grades are believed to be normally distributed.

Use a significance level of 5%.

 

A.  State the alternative hypothesis: HA:HA:

  • μ≠65μ≠65
  • μ>65μ>65
  • μ<65μ<65

B.     State the mean of the sample:   (Round answer to two decimal places.) ________

C.      State the standard error of the sample means:   (Round answer to four decimal places.) ________ 

 

D.    State the test statistic: t= _______ (Round answers to three decimal places.  

E.     State the p-value: _________  (Round answers to three decimal places.)

 

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