3- A real estate company is interested in testing whether the mean time that families in City A have been living in their current homes is less than families in City B. Assume that the two population variances are equal.A random sample of 100 families from City A and a random sample of 150 families in City B yield the following data on length of residence in current homes. City A: XA = 35 months, S = 900 City B: XB 50 months, S 1050 What is(are) the critical value(s) of the relevant hypothesis test if the level of significance is 0.01? a) Ot z= - 1,96 b) O t z= - 2.080 C) t Z=-2.33 d) t z=± 1.96

Actuaries use various parameters when evaluating the cost of a life insurance policy. The variance of the life spans of a population is one of the parameters used for the evaluation. Each year, the actuaries at a particular insurance company randomly sample 30 people who died during the year (with the samples chosen independently from year to year) to see whether the variance of life spans has changed. The life span data from this year and from last year are summarized below. Current Last Year Year *1 = 75.8 x2 = 76.2 s3 = 47.61 s3= 92.16 (The first row gives the sample means and the second row gives the sample variances.) Assume that life spans are approximately normally distributed for each of the populations of people who died this year and people who died last year. Can we conclude, at the 0.05 significance level, that the variance of the life span for the current year, of, differs from the variance of the life span for last year, o,? Perform a two-tailed test. Then complete the…

A researcher takes sample temperatures in Fahrenheit of 20 days from Minneapolis and 18 days from Cleveland. Use the sample data shown in the table. Test the claim that the mean temperature in Minneapolis is different than the mean temperature in Cleveland. Use a significance level of α=0.01. Assume the populations are approximately normally distributed with unequal variances.Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs.   Minneapolis Cleveland 70.1 66.1 69.5 65.9 65.7 61 71.7 62.8 62 67.9 75.3 74.5 63.2 69.1 62 72.5 76.9 80.4 71.3 72.7 70.9 70.4 70.5 76.6 65.1 62.2 76.2 66.1 70.3 86 69.5 81 80.2 68.3 74.3 63.3 70.7   64.6     The Null Hypotheses is: H0: μ1 - μ2 = 0 What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen mode.)HA: μ1 - μ2            Based on these hypotheses, find the following. Round answers to 4 decimal…

Part 1. .If b = 0.523, then for every 1 unit increase in the independent variable, there is a 0.523 unit increase in the dependent variable. True or false?   2. .If b = .704, then 70.4% of the variance in the dependent variable can be explained by the variance in the independent variable. In contrast, 29.6% of the variance in the dependent variable can be explained by outside factors. True or false? 3. .If r = 0.444, then for every 1 unit increase in the independent variable, there is a 0.444 unit increase in the dependent variable. True or false?

HYPERTENSION. The data below was collected from over 200 infants at 1 month of age. In this study a research nurse visited the home of each child and took their blood pressure using a special apparatus for measuring infant bp. She also noted whether the infant was asleep or awake and whether or not the child was agitated when the bp was taken.   Assuming equal variances, is there a significant mean difference in SBP between the quiet sleep infants and the awake and quiet infants?   1. What is the appropriate test to conduct in the above situation? 2. What is the degree of freedom? 3. What is the computed test statistic? 4. What is the correct conclusion for this test? 5. What can be implied from the conclusion above?

Two companies produce small motorcycles of varying quality. An important measure of quality is the top speed the motorcycle can obtain on a flat surface. Do the following data provide evidence that the average top speed of cycles from these two companies differ? Report the p-value to two decimal places. Do not assume equal variances.    Top Speed in mph from Company 1 Top Speed in mph from Company 2 21.5 53.0 20.3 40.1 49.6 49.3 43.8 51.6 50.5 52.6 52.5 50.6 47.8   37.0   33.2

Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use a = 0.05 and test to see whether the consultant with more experience has the higher population mean service rating. Assume the population variances are unequal. Consultant A Consultant B n1 = 16 n2 10 X1 = 6,81 X2 = 6.25 %3D S1 = 0.68 S2 = 0.75 (a) State the null and alternative hypotheses. O Hoi H1 - H2 = 0 Hai H1- Hz>0 O Ho: H1 - 42 = 0 Hại H1 - H2# 0 O Ho: H1 - H2 > 0 %3D Ha: H1 - H2 = 0 O Ho: H1 - Hz # 0 Hai Hy - Hz = 0 Hoi H1 - H2 = Hai H1- H2 = 0 (b) Compute the value of the test statistic. (Round your answer to three decimal places.) 19.191 (c) What is the p-value?…