Question

A marketing researcher wants to estimate the mean savings​ ($) realized by shoppers who showroom. Showrooming is the practice of inspecting products in retail stores and then purchasing the products online at a lower price. A random sample of

100100

shoppers who recently purchased a consumer electronics item online after making a visit to a retail store yielded a mean savings of

​$5555

and a standard deviation of

​$5353.

The researcher believes the actual mean savings is

​$4747.

Complete parts​ (a) and​ (b) below.

a. Is there evidence that the population mean savings for all showroomers who purchased a consumer electronics item is different from

​$4747​?

​(Use a

0.100.10

level of​ significance.)

State the null and alternative hypotheses.

Upper H 0H0​:

muμ

equals=

4747

Upper H 1H1​:

muμ

not equals≠

4747

​(Type integers or decimals. Do not round. Do not include the​ $ symbol in your​ answer.)

Identify the critical​ value(s).

The critical​ value(s) is(are)

nothing.

​(Type an integer or a decimal. Round to two decimal places as needed. Use a comma to separate answers as​ needed.)

Answer 1