Question

QUESTION 4 A study seeks to determine if the mean difference between weekly grocery expenses this year and five years o grocery expenses were recorded five years ago and this year Below is the SPSS output corresponding to the Paired Samples Statistics to. A sample of adults participated in a five-year follow up ad Their weekly 153 9091 149 412 55 55 St Denton 456343 541155 Paired Sample Par preces 15 Comidence of Wan Sid Deviation SIE an The following notation is used for all parts of this question . df refers to the difference between the amount of money spe 3) What are the correct hypotheses for this text? Choose an option from A Hohes you verears 10 - 0 No The Year BHO: 8-0 Hed Ho C. Ho The Year Wrerears ago = 0 D He Woo Ho Wao Answer for a Which of the following is true based on the SPSS output? Choose an option from the list and type is corresponding letter the box A. The population mean difference between the money spent on groceries the year and five years ago is within 250305 and 6.43817, for a processing correct B. 19. of sil sample mean didaces between amount of money spent on groceries this year and five years ago we wth 2 5065 and 643317 Theo maroon al 99% of cases

Answer 1

Answer Date: 10/04/2020 a) To test the hypothesis is that the population mean of the difference between the amount of money spent in groceries this year and five years ago is not zero. The null and alternative hypothesis is, Ho: la = 0 H:Hq 0 The answer is D. b) A 95% confidence interval for the mean differences between the amount of money spent on grocery this year and five years ago is,

From SPSS output, a 95% confidence interval for the mean differences between the amount of money spent on grocery this year and five years ago is between 2.54365 and 6.43817. Interpretation of confidence interval 95% of all sample mean differences between the amount of money spent on grocery this year and five years ago are within 2.54365 and 6.43817 of the following is true based on SPSS output. The answer is B c) The t-test statistics is, From the SPSS output, the t-test statistics is 4.624) The p-value for this test is, From the SPSS output, the p-value for this test is 0.000)

Decision The conclusion is that p-value in this context is less than 0.05 which is 0.000, so the null hypothesis is rejected at 5% level of significance. There is sufficient evidence to indicate that the mean difference between weekly grocery expanses this year and five years ago is not zero. The result is statistically significant. The answer is a