estimate the mean amount spent​ ($) on a certain retail website by members of the​ website's premium program. A random sample of 97 members of the​ website's premium program who recently made a purchase on the website yielded a mean of ​$1900 and a standard deviation of ​$300. Complete parts​ (a) and​ (b) below.   Question content area bottom Part 1 a. Construct a 99​% confidence interval estimate for the mean spending for all shoppers who are members of the​ website's premium program.   enter your response here≤μ≤enter ​(Round to two decimal places as​ needed.) Part 2 b. Interpret the interval constructed in​ (a).   Choose the correct answer below.     A.With 99​% ​confidence, the mean spending in dollars for all shoppers who are members of the​ website's premium program is between the lower and upper limits of the confidence interval.   B.99​% of all shoppers who are members of the​ website's premium program have spent an amount in dollars that is between the lower and upper limits of the confidence interval.   C.There is a 99​% probability that mean spending in dollars for all shoppers who are members of the​ website's premium program is between the lower and upper limits of the confidence interval.   D.The sample mean spending in 99​%of all samples of 97members of the​ website's premium program will be between the lower and upper limits of the confidence interval.

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A marketing researcher wants to estimate the mean amount spent​ ($) on a certain retail website by members of the​ website's premium program. A random sample of 97 members of the​ website's premium program who recently made a purchase on the website yielded a mean of ​$1900 and a standard deviation of ​$300.

Complete parts​ (a) and​ (b) below.

 

Question content area bottom

Part 1
a. Construct a
99​%
confidence interval estimate for the mean spending for all shoppers who are members of the​ website's premium program.
 
enter your response here≤μ≤enter ​(Round to two decimal places as​ needed.)
Part 2
b. Interpret the interval constructed in​ (a).
 
Choose the correct answer below.
 
 
A.With 99​% ​confidence, the mean spending in dollars for all shoppers who are members of the​ website's premium program is between the lower and upper limits of the confidence interval.
 
B.99​% of all shoppers who are members of the​ website's premium program have spent an amount in dollars that is between the lower and upper limits of the confidence interval.
 
C.There is a 99​% probability that mean spending in dollars for all shoppers who are members of the​ website's premium program is between the lower and upper limits of the confidence interval.
 
D.The sample mean spending in 99​%of all samples of 97members of the​ website's premium program will be between the lower and upper limits of the confidence interval.
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