Online shopping statistics are routinely reported by www.shop.org. Of interest t
ID: 3059739 • Letter: O
Question
Online shopping statistics are routinely reported by www.shop.org. Of interest to online retailers are the gender-based differences in shopping preferences and behaviors. The average online expenditures for a one month period for females and males are shown in the table below. From previous data the standard deviations for monthly expenditures for females and males are $80 and $95 respectively. FemaleMale 50 Mean Expenditures a) Test the hypotheses that the average female spends more money shopping online than the average male. Clearly show the steps of the hypothesis test that you use, and express your final conclusion using a clear English sentence. Use a confidence level of 0.96. (14 marks) b) Determine the 95% confidence interval for the difference of means for monthly expenditures for females and males. (4 marks)Explanation / Answer
a)
Below are the null and alternate hypothesis
p-value = 0.0292 .. use standard t-table
As p-value is less than the significance level of 0.04, we reject the null hypothesis.
This means there are significant evidence to conclude that average female spends more money shopping online than the average male.
b)
Given Data Sample 1 Sample 2 Name Female Male mean 445 412 Sample size 55 50 Std. dev. 80.00 95.00Related Questions
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