Question

QUESTION 4 A study seeks to determine if the mean difference between weekly grocery expenses this year and five years 2go is not zero. A sample of 60 adults participated in a five-year follow up study. Their weekly grocery expenses were recorded five years ago and this year. Below is the SPSS output corresponding to this study Paired Samples Statistics Sid Error Waan Pair: This Yr Five Yrsago Mean 153.2076 140.9193 N Std Deviation 60 406025 60 5 .20713 5 2418 .69257 Paired Samples Test Paired Differences 95% Confidence Interval of the Sud For Ditorence Mean Std, Deviation Mean Lower Upper Pair: Thisyr - Five Yrsago 4.269226 .56902 94806 2.59126 5 .905105.057 The following notation is used for all parts of this question . order de 5 9 Sig. (2-tailed) 000 · "diff" refers to the difference between the amount of money spent on groceries this year and five years ago. a) What are the correct hypotheses for this test? Choose an option from the list and type its corresponding letter the box A. Hai Waliff=0 Hai Malit 0 B. Hoi This Year - Five Years Ago = 0 Hoi This Year - Five Years Ago 70 c. Hai 0 Hai 70 D. Hai W This Year Five Years Ago = 0 Hai H This Year - Five Years Ago 70 Answer for (a): b) Which of the following is true based on the SPSS output? Choose an option from the list and type its corresponding letter the box A. We are 95% confident that the population mean difference between the amount of money spent om groceries this year and five years ago is within 1 69696 and 10.2734 B. We are 95% confident that the sample mean difference between the amount of money spent on groceries this year and five years ago is within 2.59126 and 5.98518 c. We are 95% confident that the population mean difference between the amount of money spent om groceries this year and five years ago is within 2 59126 and 5.98518 D. We are 95% confident that the sample mean difference between the amount of money spent on groceries this year and five years ago is within 1.69696 and 10.2734 Answer for (b) c) Which of the following is true based on the SPSS output? Choose an option from the list and type its corresponding letter the box A At the 5% sianificance level, there is no evidence that the population mean of the difference between the amount of money spent in groceries this year and five years ago is not zero B. At the 5% significance level, there is evidence that the population mean of the difference between the amount of money spent in groceries this year and five years ago is not zero. At the 5% sienificance level, there is evidence that the population mean of the difference between the amount of money spent in groceries this year and five years ago is zero. Answer for (c):

Answer 1

Here we are we want test zero or not. using paind t test. Mura population mean difference is a. Ho: Mdiff = o. vs Har Mdiff to. al from the table, confidence interval for mean difference is = ( 2:59126, 5198518) . We are 95% confident that the population mean difference between the amount of money spent on groceries this year and five years ago is within 2-59126 and 5.98518 : les a> clasly the confidence interval does not contain the point oll so Ho is rejected here at 5% level. At 5% level of significance, there is evidence thal- population mean of the difference between the amount of money spent in groceries this year and five years age is not zero. Coption B) D1