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1. Suppose you have a sample of size 100 with mean 5 and standard deviation 2....

1. Suppose you have a sample of size 100 with mean 5 and standard deviation 2. Construct a 95% confidence interval for the population mean.

2. For a random sample of 50 measurements on the breaking strength of cotton threads, the mean breaking strength was found to be 210 grams and the standard deviation 18 grams. Calculate a 90% confidence interval for the true mean breaking strength of cotton threads of this type.

math   Statistics-And-Probability   
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Answer #1

1)

We know that the 95% confidence interval for population mean is given by:

​​​​​​

2)

We know that the 90% confidence interval for population mean is given by:

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