The mean daily energy requirement for eight-year-old boys is 2200 calories. An education researcher believes that many students in this group do poorly in school due to an inadequate diet and not having enough energy. A random sample of academically at-risk eight-year-old boys was obtained, and their caloric intake was carefully measured for a day (1 day). The summary statistics were n = 37 X = 2089. Assuming o = 358, A) Is there any evidence that this group of students has a mean caloric intake below the daily average requirement? Make use of o = 0.05 (i) Define the parameter of interest to the researcher (ii) State the Null and Alternative Hypothesis (iii) What test statistic would you make use of and why? Justify, with reasons. (iv) Compute the value of the test statistic. (v) Rejection Region: (vi) Determine p-value for the test. (vii) Conclusion and decision:

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Solve parts (iv) - (vii) only.

 

The mean daily energy requirement for eight-year-old boys is 2200 calories.
An education researcher believes that many students in this group do poorly in school due to an
inadequate diet and not having enough energy.
A random sample of academically at-risk eight-year-old boys was obtained, and their caloric intake was
carefully measured for a day (1 day). The summary statistics were
n = 37
X = 2089.
Assuming o =
358,
A) Is there any evidence that this group of students has a mean caloric intake below the daily
average requirement? Make use of o = 0.05
(i) Define the parameter of interest to the researcher
(ii) State the Null and Alternative Hypothesis
(iii) What test statistic would you make use of and why? Justify, with reasons.
(iv) Compute the value of the test statistic.
(v) Rejection Region:
(vi) Determine p-value for the test.
(vii) Conclusion and decision:
Transcribed Image Text:The mean daily energy requirement for eight-year-old boys is 2200 calories. An education researcher believes that many students in this group do poorly in school due to an inadequate diet and not having enough energy. A random sample of academically at-risk eight-year-old boys was obtained, and their caloric intake was carefully measured for a day (1 day). The summary statistics were n = 37 X = 2089. Assuming o = 358, A) Is there any evidence that this group of students has a mean caloric intake below the daily average requirement? Make use of o = 0.05 (i) Define the parameter of interest to the researcher (ii) State the Null and Alternative Hypothesis (iii) What test statistic would you make use of and why? Justify, with reasons. (iv) Compute the value of the test statistic. (v) Rejection Region: (vi) Determine p-value for the test. (vii) Conclusion and decision:
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