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A nationwide survey in 2001 revealed that U.S. grade-school children spend an average of µ = 8.0 hours per week doing homework. The distribution is normal with σ = 2.5. Last year, a sample of n = 100 grade-school children was given the same survey.  For this sample, the mean number of homework hours was 7.4.   Has there been a significant change in the homework habits of grade-school children?  Test with α = .05. For each problem students will write out all steps of hypothesis testing: State the null and research hypotheses. Set the level of risk associated with the null hypothesis. Select the appropriate test statistic. Compute the test statistic value (called the obtained value). Determine the value needed for rejection of the null hypothesis using the appropriate table of critical values for the particular statistic. Compare the obtained value and the critical value. Make your decision

A nationwide survey in 2001 revealed that U.S. grade-school children spend an average of µ = 8.0 hours per week doing homework. The distribution is normal with σ = 2.5. Last year, a sample of n = 100 grade-school children was given the same survey.  For this sample, the mean number of homework hours was 7.4.   Has there been a significant change in the homework habits of grade-school children?  Test with α = .05. For each problem students will write out all steps of hypothesis testing: State the null and research hypotheses. Set the level of risk associated with the null hypothesis. Select the appropriate test statistic. Compute the test statistic value (called the obtained value). Determine the value needed for rejection of the null hypothesis using the appropriate table of critical values for the particular statistic. Compare the obtained value and the critical value. Make your decision

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 9E
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A nationwide survey in 2001 revealed that U.S. grade-school children spend an average of µ = 8.0 hours per week doing homework. The distribution is normal with σ = 2.5. Last year, a sample of n = 100 grade-school children was given the same survey.  For this sample, the mean number of homework hours was 7.4.   Has there been a significant change in the homework habits of grade-school children?  Test with α = .05.

For each problem students will write out all steps of hypothesis testing:

  1. State the null and research hypotheses.
  2. Set the level of risk associated with the null hypothesis.
  3. Select the appropriate test statistic.
  4. Compute the test statistic value (called the obtained value).
  5. Determine the value needed for rejection of the null hypothesis using the appropriate table of critical values for the particular statistic.
  6. Compare the obtained value and the critical value.
  7. Make your decision
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