## Question

###### Suppose a study is conducted to estimate the difference betweenmiddle-income shoppers and low-income shoppers in terms of theaverage amount saved on grocery bills per week by using coupons.Random samples of 60 middle-income shoppers and 80 low-incomeshoppers are taken, and their purchases are monitored for one week.The sample results indicated that the mean amount saved permiddle-income shopper was $5.84 with a sample standard deviation of$1.41. The sample mean saved using coupons for low-income

Suppose a study is conducted to estimate the difference between middle-income shoppers and low-income shoppers in terms of the average amount saved on grocery bills per week by using coupons. Random samples of 60 middle-income shoppers and 80 low-income shoppers are taken, and their purchases are monitored for one week. The sample results indicated that the mean amount saved per middle-income shopper was $5.84 with a sample standard deviation of $1.41. The sample mean saved using coupons for low-income shoppers was $2.67 with a sample standard deviation of $0.54. Use this data to construct a 98% confidence interval to estimate the difference between the mean amount saved with coupons by middle-income shoppers and low-income shoppers

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