1. From a population of 540 th

`1. From a population of 540 that is known to have a standard deviation of 1,368, asample of 60 individuals. The mean of this sample is found to be 6.2.a) Find the standard error of the mean.b) Construct an interval estimate around the sample mean, usingthe standard error of the mean calculated for 96% of cases.2. A test of car safety in the State of Carolina found that thetire pressure for a sample of 62 tires was 24 pounds per square inch atstandard deviation 2.1 pounds per square inch.a. Find the standard error of the mean:b. Estimate the interval for this population for 95% of cases:3. When a sample of 70 sales executives was surveyed regarding poor performance intheir company, 66% thought that the drop in sales was due to high temperaturesunusual during this year 2017.a) Estimate the standard error and say what it means`

Allowed to solve only one question per post. solved twoquestions to help you.

1. From a population of 540 that is known to have astandard deviation of 1.368, a sample of 60 individuals. The meanof this sample is found to be 6.2.

a) standard error of the mean =0.176608σn=1.36860=0.176608

b)96% confidence interval =(5.8373, 6.5627)

2. A test of car safety in the State of Carolina found thatthe tire pressure for a sample of 62 tires was 24 pounds per squareinch at standard deviation of 2.1 pounds per square inch. a. Findthe standard error of the mean: b. Estimate the interval for thispopulation for 95% of cases:

the standard error of the mean = 0.2667

95% confidence interval

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