statistic 200 written assignment

Written Assign # 2

Having reviewed the data from Written Assignment # 1 and selected 7 subjects with a similar profile as your client it is now appropriate to recommend a budget for their yearly food expenditures. The recommendation should include a point estimate and a confidence interval based upon the available data.

To accomplish this task, calculate a point estimate and a 90% confidence interval for the USD food for the following data sets:

Data set 1: The 30 subjects provided in the original data set

Data set 2: The seven subjects most selected by your fellow classmates.

Data set 3: The seven subjects you selected in Written Assignment # 1

Data Set 1

The 30 subjects provided in the original data set.

Mean _8619.30_ Standard Deviation _1824.88_

Data Set 2 members: (Recommended by your classmates with frequency count)

Subject Identification #	9	10	5	4	1	8	30
Frequency	22	20	19	18	16	9	6

Mean _7293.14_ Standard Deviation _771.632_

Data Set 3:

The ID numbers of the subjects you selected in Assignment # 1, include push subjects. (Enter Id’s from Assign # 1 for ease of documenting the statistical study)

Subject Identification #

Mean __________ Standard Deviation ___________

Completing the Comparison Table (Calculations can be performed on the TI 83/84)

Data Sets USD Food	Mean	Margin of error*	Confidence level 90% Lower limit	Confidence level 90% Upper limit
Data Set 1
Data Set 2
Data Set 3

* Margin of error is ½ the width of the confidence interval

Based upon the above table: What is your recommendation for your client’s food budget? Highlight your answer.

Data set 1 Data set 2 Data set 3

Your grade for this assignment will be based upon completing the above table and a short, concise statistically sound explanation as to why you selected the above data set for making your recommendation.

Explanation:

If you have other thoughts on how to perform the analysis in this project, feel free to include them in a short, concise manner. (Not part of the grading process)

Extra credit:

Perform a Two Sample Hypothesis Test with a significance level of 10% to determine if there is a difference between the two estimates using Data Set 1 and Data Set 2.

What is the Null Hypothesis?

What is the Alternate Hypothesis?

What is the Pvalue?

What is the Decision?

If there is a difference, which data set most likely predicted a higher mean for food expenditures?