1) A random sample of 100 observations produced a mean xbar= 5 and a standard deviation s = 4. Find an approximate 90% confidence interval for the population mean .

2) An article posted by the Canadian Visa Organization regarding the cost of living in Canada in 2021 stated that Canadians spend most of their salary on paying house rent or housing mortgages. Economists predict that home prices across Canada will drop by 7% due to COVID-19 in 2021. Suppose a random sample of 16 houses in Toronto had an average price of $850,000 and a standard deviation of $5,000.

a)Use a 90% confidence interval to estimate the population mean of the house price in Toronto in 2021.

b) Interpret the interval in terms of this application

c)What is meant by the phrase "90% confidence interval"?

3) Suppose you wish to estimate a population mean with a sampling error of SE = .3 using a 95% confidence interval, and you know from prior sampling that 2 is approximately equal to 7.2. How many observations would have to be included in your sample?

4)Personal computers and laptops have come a long way since they were first developed. Computers tended to be ridiculously huge and expensive in the past, and they performed poorly. Today's computers are smaller, faster, more affordable, and much more powerful. The iPrice Group Sdn Bhd listed the prices of the latest laptop models for April 2021 in Malaysia and claimed that, on average, laptop prices start from RM1,500.

a)To verify the claim made by the iPrice Group Sdn Bhd, what null and alternative hypotheses should you test?

b)Suppose you select =.10. Interpret this value in the words of the problem

c)For =.10, specify the rejection region of a large sample test.

5)In a test of the hypothesis H0: =50 versus Ha: >50, a sample of n=100 observations possessed mean xbar=49.4and standard deviation s=4.1. Find and interpret the p-value for this test.

6)An analyst tested the null hypothesis that 20against the alternative hypothesis that <20. The analyst reported a p-value of .06. What is the smallest value of for which the null hypothesis would be rejected?

Explanations with the answers would be great :) Thanks