Consider the formula used for any confidence interval and the elements included in that formula. What happens to the confidence interval if you (a) increase the confidence level, (b) increase the sample size, or (c) increase the margin of error? Only consider one of these changes at a time. Explain your answer with words and by referencing the formula.

Constructa 95% confidence interval for the population mean IQ using a random sample of 33 nursing students with a sample mean IQ of 112 points and a population standard deviation of =12.4 points.Interpret the results.

In a random sample of 20 people , the mean tip they said they would leave after a $30.00 meal was $3.75 and the sample standard deviation was s=$0.25. Construct a 99% confidence interval for the population mean. Assume that the distribution of a tip isapproximately normal and the population standard deviation is not known. Interpret the results.

In a survey of 1022 U.S. adults, 779 think that the United States should put more emphasis on producing energy from solar power. Construct a 90% confidence interval for the population proportion. Interpret your results.