1) In an effort to estimate the mean amount spent per customer at Oliver's Eatery in Astoria, Queens, data were collected from a sample of 49 customers. If it is known that the overall standard deviation is $5 since the restaurant opened in 2011 construct a 95 % confidence level if you find that the average for this sample is

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CONFIDENCE LEVEL PROBLEMS
1) In an effort to estimate the mean amount spent per customer at Oliver's Eatery in
Astoria, Queens, data were collected from a sample of 49 customers. If it is known
that the overall standard deviation is $5 since the restaurant opened in 2011
construct a 95 % confidence level if you find that the average for this sample is
$24.80
2) The average undergraduate GPA for those students admitted to Graduate Business
Schools was 3.37, according to US News and World Report in 2017. In Fall of 2018,
120 students were admitted to the top schools. From years past we know that the
standard deviation is 0.28. Construct a 90 % confidence interval for students
admitted to the top Graduate Business Schools.
3) Sales personnel for the Skillings Distributors must submit weekly reports which list
the number of customer contacts made. A sample of 40 weekly reports showed a
mean of 19.5 customer contacts per week with a standard deviation of 5.2.
Construct a 90 % confidence interval for the sales personnel.
Construct a 95 % confidence interval for the sales personnel.
4) A survey of 10 restaurants which was done in early 2019 in the Miami Dade Area by
the Bartlett Organisation showed a sample mean customer satisfaction index of 71
with a standard deviation of 5.
Construct a 95 % confidence interval for the satisfaction index.
Construct a 99 % confidence interval for the satisfaction index.
5) The commuting time for residents of the largest cities in the US has a standard
deviation of 6.25 minutes. If we want a margin of error of 2 minutes and a 95 %
confidence level, how many cities should we choose for the sample?
Transcribed Image Text:CONFIDENCE LEVEL PROBLEMS 1) In an effort to estimate the mean amount spent per customer at Oliver's Eatery in Astoria, Queens, data were collected from a sample of 49 customers. If it is known that the overall standard deviation is $5 since the restaurant opened in 2011 construct a 95 % confidence level if you find that the average for this sample is $24.80 2) The average undergraduate GPA for those students admitted to Graduate Business Schools was 3.37, according to US News and World Report in 2017. In Fall of 2018, 120 students were admitted to the top schools. From years past we know that the standard deviation is 0.28. Construct a 90 % confidence interval for students admitted to the top Graduate Business Schools. 3) Sales personnel for the Skillings Distributors must submit weekly reports which list the number of customer contacts made. A sample of 40 weekly reports showed a mean of 19.5 customer contacts per week with a standard deviation of 5.2. Construct a 90 % confidence interval for the sales personnel. Construct a 95 % confidence interval for the sales personnel. 4) A survey of 10 restaurants which was done in early 2019 in the Miami Dade Area by the Bartlett Organisation showed a sample mean customer satisfaction index of 71 with a standard deviation of 5. Construct a 95 % confidence interval for the satisfaction index. Construct a 99 % confidence interval for the satisfaction index. 5) The commuting time for residents of the largest cities in the US has a standard deviation of 6.25 minutes. If we want a margin of error of 2 minutes and a 95 % confidence level, how many cities should we choose for the sample?
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