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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 74.4 96 83.2 65 63.9 64.3 74.4 69 68.4 88 Test grades are believed to be normally distributed. Use a significance level of 5%. State the alternative hypothesis: HA:HA: μ>65μ>65 μ<65μ<65 μ≠65μ≠65 State the mean of the sample:  (Round to two decimal places.) State the standard error of the sample means:  (Round to four decimal places.) State the test statistic: t=t=  (Round to four decimal places.) State the p-value:  (Round to four decimal places.) Decision: Reject the null hypothesis. Do not reject the null hypothesis.

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 74.4 96 83.2 65 63.9 64.3 74.4 69 68.4 88 Test grades are believed to be normally distributed. Use a significance level of 5%. State the alternative hypothesis: HA:HA: μ>65μ>65 μ<65μ<65 μ≠65μ≠65 State the mean of the sample:  (Round to two decimal places.) State the standard error of the sample means:  (Round to four decimal places.) State the test statistic: t=t=  (Round to four decimal places.) State the p-value:  (Round to four decimal places.) Decision: Reject the null hypothesis. Do not reject the null hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 11PPS
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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 74.4 96 83.2 65 63.9 64.3 74.4 69 68.4 88



Test grades are believed to be normally distributed.

Use a significance level of 5%.

  1. State the alternative hypothesis: HA:HA:
    • μ>65μ>65
    • μ<65μ<65
    • μ≠65μ≠65
  2. State the mean of the sample:  (Round to two decimal places.)
  3. State the standard error of the sample means:  (Round to four decimal places.)
  4. State the test statistic: t=t=  (Round to four decimal places.)
  5. State the p-value:  (Round to four decimal places.)
  6. Decision:
    • Reject the null hypothesis.
    • Do not reject the null hypothesis.
    •  
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