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# Sampling Distributions in Tennessee Grilled Pork

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As the manager of Tennessee Grilled Pork, you have been aslned to examine the company's national employment data and perform a follow-up study on the duration of employment for Tennessee Grilled Pork's employees. You have been asked to study a random sample of 144 former employees.

Assume that the population of all employed individuals has a mean duration of 43 QF 43) weeks and the population standard deviation is 8 (0 = 8) weeks.

Using this information, ﬁnd the following information on the sampling distribution:

See attached

What is the probability that the simple random sample of 144 former employees will provide a mean of less than 40 weeks?

What is the probability that the simple random sample of 144 former employees will provide a sample mean within 1.5 weeks of the population mean?

Due to your exemplary work on the employment project, Tennessee Grilled Pork's corporate office would also like you to do some analysis on customer satisfaction Historically, 55% of customers have rated their dining experience in the continuum range of either good or excellent. Assume these ratings are normally You plan to sample 250 customers to see if this is still true.

Using this information, ﬁnd the following information on the sampling distribution:

See attached

What is the probability that 60% or more of the 250 customers sampled will rate their dining experience in the continuum range of either good or excellent?

What is the probability that the proportion of 250 customers sampled will rate their dining experience in the continuum range of either good or excellent is within .05 of the population proportion?

https://brainmass.com/statistics/normal-distribution/sampling-distributions-tennessee-grilled-pork-538445

#### Solution Preview

As the manager of Tennessee Grilled Pork, you have been asked to examine the company's national employment data and perform a follow up study on the duration of employment for Tennessee Grilled Pork's employees. You ...

#### Solution Summary

The sampling distributions in Tennessee grilled pork are examined.

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