images attached 3STATS LAB 8.1: Confidence Interval (Home Costs)1. Save the File with your Name in it, i.e. TEysterW11Lab.docx2. Make sure it is a Word Doc or PDF file to ensure readability.3. Answer all parts in complete sentences and show all work or explain how you got the values.Student Learning OutcomesThe student will calculate the 90% confidence interval for the mean cost of a home in the area in whichthis school is located.The student will interpret confidence intervals.The student will determine the effects of changing conditions on the confidence interval.Collect the Data: Check https://www.realtor.com/ for the sale prices of homes in your zip code. Record the saleprices for 35 randomly selected homes recently listed in the county.1. Complete the table:374,900270,000252,50026500284,900399,0033,900335,000309,900595,000449,900280,00389,900420,000485,000338,800949,900317,400415,00334,00795,00584,0722,740,00414,999342,900408,900367,400750,000314,600344,0001,650,000326,900375,600370,000485,900Table8.5Describe the Data1. Compute the following:а.mean =b. standard deviation =c.n =2. In words, define the random variable X3. State the estimated distribution to use. Use both words and symbols. Find the 90% Confidence Interval (can be one of the others from the final section)1. Calculate the confidence interval and the error bound.a. Confidence Interval:b. Error Bound:2. How much area is in both tails (combined)? (remember what the area is!) a =3. How much area is in each tail? a/2 =4. Fill in the blanks on the graph with the area in each section. Then, fill in the number line with the upperand lower limits of the confidence interval and the sample mean.C.L. =Type answers from chartCL =a/2 =lower limit =sample mean =upper limit =Figure 8.65. Some students think that a 90% confidence interval contains 90% of the data.a. Use the list of data on the first page and count how many of the data values lie within theconfidence interval.b. What percent is this?c. Is this percent close to 90%?d. Explain why this percent should or should not be close to 90%.

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