n an effort to estimate the mean amount spent per customer for dinner at a major Atlanta restaurant, data were collected from 64 randomly selected customers.  The sample mean was calculated as $27.75 with a sample standard deviation of $4.  We wish to develop a 91% confidence interval for the mean amount spent per customer for dinner at this restaurant.  Assume that the standard deviation of the amounts spent by ALL customers is $4.30.   The resulting 91% confidence interval is given by  27.75±0.91127.75±0.911    Based upon the above confidence interval, can it be concluded – with at least 91% confidence – that the average customer spends more than $25 at the restaurant?   A) yes B) No Why? A) because the entire interval is above $25 B) because $27.75 > $25 C) because some numbers in the interval are less than $25 D) Because there isnt enough data

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In an effort to estimate the mean amount spent per customer for dinner at a major Atlanta restaurant, data were collected from 64 randomly selected customers.  The sample mean was calculated as $27.75 with a sample standard deviation of $4.  We wish to develop a 91% confidence interval for the mean amount spent per customer for dinner at this restaurant.  Assume that the standard deviation of the amounts spent by ALL customers is $4.30.

 

The resulting 91% confidence interval is given by  27.75±0.91127.75±0.911   

Based upon the above confidence interval, can it be concluded – with at least 91% confidence – that the average customer spends more than $25 at the restaurant?  

A) yes

B) No

Why?

A) because the entire interval is above $25

B) because $27.75 > $25

C) because some numbers in the interval are less than $25

D) Because there isnt enough data

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