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Assignment for IHP525 Confidence Intervals
1. Weight of a newborn. A SRS is taken from a population of fullterm newborns in a research. In this demographic, the standard deviation of birth weights is 2 pounds. Calculate the 95 percent confidence intervals for the following samples:
a) The number of people is 81, and the weight is 7.0 pounds.
b) n = 9 with a weight of 7.0 pounds
c) Which sample yields the most accurate mean birth weight estimate?
d) Apply what you learned in step a to the CI you calculated.
2. Confidence interval and Pvalue The Pvalue of a twosided test of H0: = 0 is 0.03. Is there a chance that the 95 percent confidence interval for includes 0? Will 0 be included in the 99 percent confidence interval for? In each case, explain your reasoning.
3. The length of the menstrual cycle. The following are the menstrual cycle lengths (days) in an SRS of nine women: 31, 28, 26, 24, 29, 33, 25, 26, 28. Using a onesample ttest, see if the mean menstrual cycle length differs substantially from a lunar month. (There are 29.5 days in a lunar month.) Assume that the population’s values follow a Normal distribution. Consider a twosided option. Show all steps in the hypothesistesting process.
4. The length of the menstrual cycle. The mean length of menstrual periods in an SRS of 9 women was estimated in Problem 3. Days with a standard deviation of 2.906 days were discovered in the data.
a) For the mean menstrual cycle length, calculate a 95% confidence interval.
b) Is the mean menstrual cycle duration substantially different from 28.5 days at 0.05 (two sided) based on the confidence interval you just calculated? Is it statistically significant when compared to = 30 days at the samelevel? Give an explanation for your decision. (The relationship between confidence intervals and significance tests was discussed in Section 10.4 of your text.) Here, too, the same rules apply.)
Fluoridation of drinking water is a good example of this. The number of cavityfree children per 100 in 16 North American cities BEFORE and AFTER municipal water fluoridation schemes was investigated in a study. The data is listed in the table below. To utilize StatCrunch to calculate the needed information, you’ll have to manually type the data in.
a) For each city, calculate the delta values (After Before). Then plot the differences in a stemplot or boxplot. Interpret the plot of your story.
b) What percentage of cities saw an increase in the number of people without cavities?
c) Estimate the mean change with a 95% confidence interval (i.e. compute a 95 percent CI for the mean difference).
B. B. Gerstman, B. B. Gerstman, B. B. Gerstman, B. B. Gerstman (2015). Basic biostatistics: A guide to using statistics in public health (2nd ed.). Jones and Bartlett, Burlington, MA. 9781284036015 is the ISBN number for this book.
RUBRIC 

Excellent Quality 95100%

Introduction
4541 points The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned. 
Literature Support 9184 points The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned. 
Methodology 5853 points Content is wellorganized with headings for each slide and bulleted lists to group related material as needed. Use of font, color, graphics, effects, etc. to enhance readability and presentation content is excellent. Length requirements of 10 slides/pages or less is met. 

Average Score 5085% 
4038 points More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided. 
8376 points Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration. 
5249 points Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met. 

Poor Quality 045% 
371 points The background and/or significance are missing. No search history information is provided. 
751 points Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration. 
481 points There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met 

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Assignment for IHP525 Confidence Intervals 