Hypothesis test for the difference of population means: Paired comparisons
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Attached is 2 slides on powerpoint. The 1st slide is the problem and the 2nd slide is the answer format. Answer 3 is completed because it requires the use of a t test with degree of freedom that equals 11.
Attached also is the excel data
Please help with 1,2,4,5 and 6 only
1) eg: u=0 or u>0 etc
2) same as 1
3) answered already
4) test statistic
5) criticlal value
6) Yes or No
The owner of a chain of mini-marktes wants to compare the saled performance of two her stores. Store 1 and Store 3. Though the two stores have been comparable in the past, the owner has made several improvements to Store 2 and wishes to see if the improvements have made store 2 more popular than store 1. sales can vary considerably depending on the day of the week and the season of the year, so she decides to elinimate such effects by making sure to record each stores' sales on the same sample of days. After choosing a random sample of 12 days, she records the sales for each store on these days, as shown in table 1.
Based on these data, can the owner conclude, at the 0.01 level of significance, that the mean daily sales of store 2 exceeds that of store 1?
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Solution Summary
A hypothesis test is applied for the difference of population means. The solution is detailed and was rated '5/5' by the student who posted the question orignally.
Solution Preview
The answers are as follows.
1) Null hypothesis H0: mu_d=0
2) Alternative hypothesis H1: mu_d<0
3) answered already
4) The value of the t-test ...
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"
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