Businesses, particularly those in the food preparation industry such as General Mills, Kellogg, and Betty Crocker...

Businesses, particularly those in the food preparation industry such as General Mills, Kellogg, and Betty Crocker regularly use coupons to stimulate their sales. There is concern that users of paper coupons (Population p) are different from users of e-coupons (Population e). One survey recorded the age of each person who redeemed a coupon along with the type (either electronic or paper). The sample of 29 e-coupon users had a mean age of 36.1 years with a sample standard deviation of 11.2, while a similar sample of 22 paper-coupon users had a mean age of 40.6 with a sample standard deviation of 5.0.

(1)

Find the degrees of freedom for unequal variance test. (Round down your answer to next lower whole number.)

Degrees of freedom:

(2)

State the decision rule for 0.01 significance level: H₀: μ_e = μ_p; H₁: μ_e ≠ μ_p. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.)

Reject H₀ if t < ? or t > ?

(3)

Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Carry at least 3 decimal places in intermediate calculations. Round your answer to 2 decimal places.)

Value of the test statistic:

(4)

Test the hypothesis of no difference in the mean ages of the two groups of coupon users. Use the .01 significance level.

(Reject or Do not reject)H₀? There is a (significant no significant) difference in the mean ages of the two groups of coupon users.

Solutions

Expert Solution

Solution: We can use the TI-84 to find the answer to the given questions. The steps to be followed are:

Press STAT and then scroll right to TESTS

Scroll down to 2-SampTTest and scroll right to Stats

Enter the values as:

The output is:

(1) Find the degrees of freedom for unequal variance test.

Answer:

(2) State the decision rule for 0.01 significance level: H₀: μ_e = μ_p; H₁: μ_e ≠ μ_p.

Answer: Reject H₀ if t < - 2.701 or t > 2.701

(3) Compute the value of the test statistic.

Answer:

(4) Test the hypothesis of no difference in the mean ages of the two groups of coupon users. Use the .01 significance level.

Answer: Do not reject H₀. There is no significant difference in the mean ages of the two groups of coupon users.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Businesses such as General Mills, Kellogg's, and Betty Crocker regularly use coupons to build brand allegiance...

Businesses such as General Mills, Kellogg's, and Betty Crocker regularly use coupons to build brand allegiance and stimulate sales. Marketers believe that the users of paper coupons are different from the users of e-coupons accessed through the Internet. One survey recorded the age of each person who redeemed a coupon along with the type of coupon (either paper or electronic). The sample of 24 traditional paper-coupon clippers had a mean age of 35.8 with a standard deviation of 11.2. The...

Businesses such as General Mills, Kellogg's, and Betty Crocker regularly use coupons to build brand allegiance...

Businesses such as General Mills, Kellogg's, and Betty Crocker regularly use coupons to build brand allegiance and stimulate sales. Marketers believe that the users of paper coupons are different from the users of e-coupons accessed through the Internet. One survey recorded the age of each person who redeemed a coupon along with the type of coupon (either paper or electronic). The sample of 25 traditional paper-coupon clippers had a mean age of 36.1 with a standard deviation of 11.8. The...

The annual report of General Mills, maker of Wheaties, Cheerios, and Betty Crocker baking products, for...

The annual report of General Mills, maker of Wheaties, Cheerios, and Betty Crocker baking products, for the year ended May 29, 2011, contained the following($ in millions): May 29, 2011 May 30, 2010 Total land, building, and equipment $7,492.1 $6,949.7 Less: Accumulated depreciation $4,146.2 $3,822.0 Net land. building, and equipment $3345.9 $3,127.7 During fiscal 2011, depreciation expense was $472.6 million, and General Mills acquired land, buildings, and equipment worth $848.8 million. Assume that no gain or loss arose from the disposition of land,...

Coronodo Industries makes specialized clothing for businesses in the food and beverage industry. During September, Ricardo...

Coronodo Industries makes specialized clothing for businesses in the food and beverage industry. During September, Ricardo completed the following transactions. Sept 1 Direct materials costing $60,000 were purchased on account. sept3 Direct materials costing $32,850 were requested into production (all were used on Job A). sep4 Indirect materials were purchased for cash, $32,830. sep8 The company issued checks for the following factory overhead costs: Utilities, $3,210; manufacturing insurance, $4,025; and repairs, $4,640 sep10 Direct materials costing $34,510 (all used on...

should McDonald's consider competition beyond those in the fast food industry? If so, who and why?...

should McDonald's consider competition beyond those in the fast food industry? If so, who and why? When looking to competition, what organizations should be considered when assessing the business climate, opportunities, and challenges? Use a minimum of two resources to prepare a substantive posting; do not use blogs or textbooks to meet the minimum of two resources.

General Mills Inc., beset by stagnant sales of cereal and yogurt, is paying around $8 billion for a pet-food business to help it generate revenue growth in the U.S. The Minneapolis-based food conglomerate, which

General Mills Inc., beset by stagnant sales of cereal and yogurt, is paying around $8 billion for a pet-food business to help it generate revenue growth in the U.S.The Minneapolis-based food conglomerate, which hasn't sold pet food since the 1960s, said Friday it plans to buy Blue Buffalo Pet Products Inc. as it looks for a piece of the rapidly expanding natural pet-food market.General Mills Chief Executive Jeff Harmening said the deal accelerates his plan to diversify its business by...

Subjects