10. Cities were randomly selected from the list of the 50 largest cities in the United States (based on population). The areas of each are given below in square miles. Is there sufficient evidence to conclude that the variance in the area is greater for the eastern cities than for the wester cities at the Use the F- table to perform the test.

36.What is the interquartile range of the sample data represented on the stem and leaf diagram below?  0     |      1     3     5      8     8 1     |      3     4     5 2     |      1    14 17.5 20 10.5

There are eight patients waiting in a doctor's waiting room.  They have been waiting for 9 minutes, 2 minutes, 5 minutes, 4 minutes, 12 minutes, 7 minutes, 8 minutes, and 11 minutes.  Calculate the sample variance for the patients' wait times (in minutes squared). Round to the nearest hundredth as needed.

Maryland, as the four U.S. cities with the highest percentage of millionaires (Kiplinger website). Consider a sample of data that show the following number of millionaires for samples of individuals from each of the four cities. Millionaire Cannot conclude Bridgeport, CT CA San Jose, CA Yes 42 36 No 458 264 a. What is the estimate of the percentage of millionaires in each of these cities (to 1 decimal)? 0.436 Use Table 3 of Appendix B to find the p-value. The p-value is greater than 0.10 What is your conclusion? City Washington, D.C. 35 365 Bridgeport, San Jose, Washington, Lexington Park, CT D.C. MD Lexington Park, 46 27.4 Percentage, % 36.5 b. Using a = 0.05 level of significance, test for the equality of the population proportion of millionaires for these four cities. What is the p-value? Compute the value of the x² test statistic (to 3 decimals). 36.5 MD 33 367 that there is a difference among the population proportion of millionaires for these four cities.

Two computer users were discussing tablet computers. A higher proportion of people ages 16 to 29 use tablets than the proportion of people age 30 and older. The table below details the number of tablet owners for each age group. Test at the 1% level of significance. (For subscripts let 1 = 16-29 year old users, and 2 = 30 years old and older users.)   16–29 year olds 30 years old and older Own a Tablet 69 231 Sample Size 625 2,313 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: p1 < p2 H0: p1 > p2      H0: p1 ≠ p2 H0: p1 = p2 H0: p1 ≥ p2 Part (b) State the alternative hypothesis. Ha: p1 < p2 Ha: p1 ≠ p2      Ha: p1 = p2 Ha: p1 > p2 Ha: p1 ≤ p2 Part (c) In words, state what your random variable  P'1 − P'2  represents. P'1 −…

An athletic shoemaker wants to test if their new running shoe specially made for sprinting is better than the competition. To do this, they recruit 35 NCAA sprinters and time their 100-meter dash wearing the company's shoe and then time their 100-meter dash again wearing the competitor’s shoe. The difference of these times is then calculated asTimecompany.shoe−Timecompetitor.shoe. The sample mean difference in times is 0.53 seconds and the sample standard deviation is 1.1. Conduct a hypothesis test at theα=0.1 level. (a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in the context of the problem) (b) Calculate the test statistic (c) Calculate the critical value. (d) Draw a picture of the distribution of the test statistic underH0. Label and provide values for the critical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at theα= 0.15 level and state your conclusions in the…

1. A furniture store reduces the prices of sofas in an autumn sale. The number of sofas sold during the 19 days of the sale were: 41, 44, 48, 55, 40, 44, 45, 42, 55, 55, 36, 36, 51, 47, 41, 38, 43, 48, 53 Work out the median and the lower and upper quartiles for the number of sofas sold in (3) the sale.

7. A study was conducted to compare the amount of salt in potato chips. Random samples of recorded. Assume the populations are normally distributed with equal variances. The 7 A study was conducted to compare the amount of salt in potato chips. Random sampies o. three varieties were obtained and the amount of salt in each 1-Oz portion of potato chp recorded. Assume the populations are normally distributed with equal variances. results are given here: BBQ Cheese- Amount of salt (in mg of sodium) 338, 159, 240, 190 235, 251, 233, 255, 260 Variety flavored Olestra-based 164, 150, 149, 170 a) Identify the explanatory variable. b) Identify the response variable. c) State the appropriate hypotheses to test for a difference in means. d) The appropriate analysis to test for a difference in means would be: a. One-way ANOVA b. Two-way ANOVA c. Three-way ANOVA d. Two-Sample t-test