The annual salary for a sample of U.S. governors in 2016 are as follows:$120395 $177467 $134273 $139339 $177412 $99636$150030 $159300 $123427 $108167 $149730 $110834$105002 $142265 $148886 $98600 $106078 $109470$160135 $175000 $150000 $105000A. Assuming that the population is normally distributed, does the CLT apply? Explain yourreasoning.B. Find and interpret a 98% confidence interval for the mean annual salary of U.S. governors.

The sampled salaries (in $) are given as:

Answered: The annual salary for a sample of U.S.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer spent $1736 on apparel and services in the last year. A researcher believes that consumers in the Northeast spent more on average. The researcher sampled 25 consumers in the Northeast and recorded the amount they spent on apparel and services in the last year. The data is listed below: 1279 1457 2020 1682 1273 2223 2233 2192 1611 1734 2688 2029 2166 1860 2444 1844 1765 2267 1522 2012 1990 1751 2113 2202 1712 At the 0.05 level of significance, does the data provide evidence to suggest that consumers in the Northeast spend more on average than the national average reported in the Bureau of Labor Statistics?
Listed below are the enrolments for selected independent religiously controlled 4-year colleges that offer bachelor's degrees only. Construct a grouped frequency distribution with six classes and find the mean and modal class. 1268 1666 2309 1231 3005 2895 2166 1136 1319 1304 1461 1750 1069 1723 1827 1155 1714 2391 2155 1037 1688 2471 1759 3008 2511 2577 1082 1067 1062 2400
Consider the following set of homerun distances (in feet) to centre field in 13 ballparks: {387, 400,400, 410, 410, 414, 415, 420, 420, 457, and 461}a. What is the median?b. What is the mean?c. What is the mode?
A local West Lafayette commercial bank issues Mastercard credit cards. As a part of its annual review of the profitability of each type of credit card, the bank randomly samples 36 customers to measure the average annual charges per card. A random sample of 36 Mastercard accounts shows the following annual spending per account (in USD): 2869 3770 2854 2750 2574 2972 2549 3267 3013 2707 2794 1189 2230 2178 3032 3485 2679 2010 1994 2768 3853 2064 3244 2738 2807 2395 3405 3006 3368 2691 1996 3008 2518 2674 2730 3719 1. Based on these randomly sampled accounts, what is the best point estimate of the true mean annual spending for Mastercard account holders? 2. Develop a 95% confidence interval estimate of the mean annual spending. Interpret this range. 3. To encourage more use of the card, the company offers a promotion that costs the bank $5 for each card that carries a balance of $3,000 or more. If the bank has 50,000 total customers, what can be stated about the cost of this…
The following table shows the number of active military personnel in 2009, by region (including the District of Columbia). Pacific 229,634 Mountain 89,816 West South Central 177,336 West North Central 64,564 East North Central 26,384 East South Central 68,440 South Atlantic 376,034 Middle Atlantic 41,441 New England 8,579 Source: U.S. Census Bureau, Statistical Abstract of the United States: 2012, Table 508 (data) and U.S. Census Bureau, Census Regions and Divisions of the United States (regions). Calculate the mean and standard deviation for the population. Now take 10 samples of size 3 from the population. Use either simple random sampling or systematic sampling with the help of the table of random numbers in Appendix A. Calculate the mean for each sample. Once you have calculated the mean for each sample, calculate the mean of means (i.e., add up your 10 sample means and divide by 10). How does this mean compare with the mean for all…
I only need Part D.
The manager of Hudson Auto Repair would like to get a better picture of the distribution of costs for new parts used in the engine tune-up jobs done in the garage. A sample of 50 customer invoices for tune-ups has been taken and the costs of parts, rounded to the nearest dollar, are listed below. 91 78 93 57 75 52 99 80 73 62 71 69 72 89 66 75 79 75 72 76 104 74 62 68 97 105 77 65 80 109 85 97 88 68 83 68 71 69 67 74 62 82 98 101 79 105 79 69 62 73 Develop a frequency distribution for these cost data. Use your own judgment to determine the number of classes and class width that provide a distribution that will be meaningful and helpful to the manager. a. Develop a stem-and-leaf display showing both the rank order and shape of the data set. (3) b. Develop a stretched stem-and-leaf display using two stems for each leading digit(s). (2) c. Which display is better at revealing the natural grouping and variation in the data? (1)
The following data (in thousands of euros) represent the net annual income for a sample of taxpayers in U.S. 47,55,18,24,27,41,50,38,33,29,15,77,64,22,19,35,39,41 67,55,121,77,80,34,41,48,60,30,22,28,84,55,26,105,62, 30,17,23,31,28,56,64,88,104,115,39,125,18,21,30,57,40 38,29,19,46,40,49,72,70,37,39,18,22,29,52,94,86,23,36 Graph this data set in a frequency histogram having 5 class intervals. Graph this data set in a frequency histogram having 10 class intervals. Which histogram do you think is more informative? Why?
A statistical program is recommended. The data below contains mileage, age, and selling price for a sample of 33 sedans. Price Mileage Age Price Mileage Age Price Mileage Age 16,998 35,000 3 11,599 95,000 8 18,998 20,000 2 17,599 16,000 3 10,499 123,000 8 12,599 63,000 7 15,998 42,000 3 14,599 54,000 5 12,599 70,000 6 15,998 61,000 4 10,599 68,000 11 10,998 88,000 10 11,599 102,000 7 16,998 40,000 4 11,998 86,000 6 13,998 109,000 4 20,998 7,000 1 12,998 60,000 6 14,998 60,000 5 11,599 81,000 9 17,599 45,000 2 11,599 88,000 9 12,599 70,000 9,998 96,000 11 12,599 58,000 8 13,599 86,000 5 9,998 60,000 11 14,998 27,000 6 11,599 92,000 7 16,998 36,000 2 15,998 32,000 4 9,599 120,000 10 17,599 45,000 2 Use the estimated regression equation that predicts the selling price of a used sedan given the mileage and age of the car to answer the following questions. (Let x₁ represent the mileage of the car, x2 represent the age of the car, and y represent the selling price of the car.) ŷ 20385.25…
Consider the following data and create a frequency table with 5 classes. Top 10 Provinces by Number of McDonald's Ontario.. Quebec.. Alberta...... British Columbia. Manitoba. Saskatchewan.... Nova Scotia.. New Brunswick........ Newfoundland and Labrador.... Prince Edward Island. a. What is the class width? b. Fill out the Frequency table Class Limits Lower Upper 490 302 192 182 ..55 42 39 35 19 .6 Class Boundaries Lower Upper Midpoint
A) which city represents the 90th percentile? B)what percentile is Camrose?
The data below contains mileage, age, and selling price for a sample of 33 sedans. Price Mileage Age 16,998 35,000 3 17,599 16,000 3 15,998 42,000 3 15,998 62,000 4 11,599 102,000 7 12,998 109,000 4 14,998 60,000 5 11,599 88,000 9 12,599 58,000 8 14,998 27,000 6 15,998 32,000 3 Price Mileage Age 11,599 95,000 8 9,499 123,000 8 14,599 54,000 5 10,599 68,000 10 16,998 40,000 4 20,998 7,000 0 11,599 80,000 9 12,599 70,000 6 13,599 86,000 5 11,599 92,000 7 9,599 120,000 10 Price Mileage Age 18,998 20,000 2 12,599 63,000 7 12,599 70,000 6 10,998 88,000 10 11,998 86,000 6 13,998 60,000 6 17,599 45,000 2 9,998 95,000 11 9,998 60,000 11 16,998 36,000 2 17,599 45,000 2 #1) Is multicollinearity an issue for this model? Find the correlation between the independent variables to answer this question.(Round your answer to two decimal places.) The correlation between age and mileage is: ____________ #2) Find…

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