A group of marketing students conducted a survey to compare the weekly sales ofthe two vendors of beauty products in a market. The results of the survey were asfollows:Vendor BVendor APhp 345Php 450Php 450Php 760Php 750Php 980Php 800Php 658Php 675Php 455Php 1,250Php 968Php 350Php 925Is there is a significant difference between the mean sales of the two vendors? Testthe claim at 0.01 level of significance.

Claim : there is a significant difference between the mean sales of the two vendors.

Answered: A group of marketing students conducted…

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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An ANOVA is used to compare the mean GPA of the following groups of students.
C. An agricultural researcher wants to compare the mean numbers of pods between three plot types (Liberty, No Till and Chisel Plowed). For each plot type, he records 7 measurements of the number of pods. Liberty 37 31 36 35 43 37 38 No Till 34 30 38 27 40 42 39 Chisel Plowed 32 37 24 23 32 34 36 Using a 0.05 level of significance, test the hypothesis that the actual mean numbers of pods are equal across the three plot types.
In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash Damage ($) Goliath Varmint Weasel 1,660 1,290 1,000 770 1,440 2,120 880 1,320 1,850 1,960 1,820 1,210 1,240 960 1,960 Crash Damage in Dollars Goliath Varmint Weasel 1660 1290 1000 770 1440 2120 880 1320 1850 1960 1820 1210 1240 960 1960
Compute for the mean and median of the data below : weight (in Ibs.) number of students 147-153 140-146 133-139 126-132 6. 119-125 11 112-118 105-111 7. 98-104 91-97 4 84-90 77-83 2. 8. 12
The NIH wants to compare the mean weight loss for five different diets. They measure the weight loss (in pounds) of 5 women assigned to each of the diets for one month. The resulting data set is below. Pounds Diet 2.2 1 0.3 1 0.6 1 1.9 1 -1.2 1 0.1 2 -1.1 2 -1.2 2 1.1 2 2.7 2 1 3 -0.4 3 -0.2 3 0.1 3 -2 3 -2.8 4 -0.1 4 -1.1 4 -1.8 4 -2.9 4 -1.2 5 -1.2 5 -1.7 5 -0.9 5 -1.2 5 a) What is the F statistic for the ANOVA? b) Using a 0.01 level of significance, what is the critical point that one would compare to the F statistic in order to make a conclusion? c) What is the P-value from the ANOVA?
A survey has been conducted recently to study the hourly wages of part-time employees at the Food Delivery services sector. The result was organized into the following frequency distribution. Hourly Wages Number of Part-time Employees $40 − less than $50 12 $50 − less than $60 26 $60 − less than $70 35 $70 − less than $80 17 $80 − less than $90 8 $90 − less than $100 2 (i) Calculate the mean, mode and standard deviation of the hourly wages. (ii) Calculate the coefficient of variation. (iii) If the median is equal to 64, calculate Pearson’s 2nd coefficient of skewness and interpret your answer briefly. (iv) The government wants to carry out similar survey next year. If the error of a point estimate of the mean is not more than $1.5, use the 97% confidence level to determine the sample size required to achieve this error.
2. Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in PGA tournaments are shown in the following table (Golfweek, February 14, 2009, and February 28, 2009). Suppose you would like to determine if the mean score for the first round of a PGA Tour event is significantly different than the mean score for the fourth and final round. Does the pressure of playing in the final round cause scores to go up? Or does the increased player concentration cause scores to come down? Player First Round Final Round Sleve McDichael 72 72 Onson Sweemey 68 68 Darryl Archideld 72 72 Anatoli Smorin 68 68 Rey McScriff 73 73 Glenallen Mixon 69 69 Mario McRlwain 74 74 Raul Chamgerlain 69 73 Mike Sernandez 70 73 Tony Smehrik 71 69 Player First Round Final Round Bobson Dugnutt 73 75…
An experiment was conducted to determine if exposure to an advertisement would change attitude toward a product. Each subject’s attitude before and after exposure to the advertisement was recorded, using a valid ten point scale. The results indicated: Subject Attitude Post Exposure Attitude Pre Exposure 1 6 4 2 8 5 3 6 6 4 4 3 5 7 2 6 6 3 7 9 6 8 7 6 9 8 5 10 8 6 Set up hypotheses and test to determine if the mean attitude toward the product increased as a result of exposure to the advertisement. (Note: these samples must be regarded as dependent, as each subject served as both a control (pre-exposure) and a treatment (post exposure). Fully interpret your result.
A sample of 25 freshmen at a major university completed a survey that measured their degree of racial prejudice (the higher the score, the greater the prejudice) Compute the median and mean for these data? 10 43 30 30 45 40 12 40 42 35 45 25 10 33 50 42 32 38 11 47 22 26 37 38 10
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are foot lengths in inches of randomly selected women in a study of a country's military in 1988. Are the statistics representative of the current population of all women in that country's military? 9.3 9.9 9.1 9.9 8.7 9.4 10.4 9.5 8.8 9.1 9.1
A survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries, dining out, household expenses, home furnishings, apparel, and entertainment. Using data from a sample of 42 credit card accounts, assume that each account was used to identify the annual credit card charges for groceries (population 1) and the annual credit card charges for dining out (population 2). Using the difference data, with population 1– population 2, the sample mean difference was d = $870, and the sample standard deviation was s,= $1,125. (a) Formulate the null and alternative hype to test for no difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out. 0> Prt :°H 0 = Pri :ºH O O Ho: Hdso H: H=0 (b) Calculate the test statistic. (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) Can you conclude that the population…
Bottles for room spray are supposed to weigh exactly 16 oz. Inspectors want to develop process control charts. They take six boxes of five bottles each and weigh them. They obtain the following data. The mean weights of each of the 6 samples are 15.69, 13.69, 15.53, 16.80, 12.31, and 13.75, respectively. Likewise, the range values for the each of 6 samples are 1.78, 0.64, 0.55, 0.38,0.21, and 0.90 respectively. Find out Grand Mean (X double bar), and mean range (R bar) O a. 14.63, 0.74 O b. 14.81, -0.74 O c. 15.53, 0.67 O d. 0,0 e. 16.53, 0.86

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