A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individualssaw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher valuesindicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the meanrating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use α = 0.05and the following data to test the hypothesis and comment on the value of the commercial.Ha:a: Md is greater than 0What are the hypotheses?Ho: Md is less than or equal to 0Compute to 3 decimals).IndividualCompute Sd (to 1 decimal).1234Purchase RatingBeforeAfter66855LO583IndividualWhat is the p-value?The p-value is between 0.10 and 0.20What is your decision?Cannot conclude seeing the commercial improves the mean potential to purchase5678Purchase RatingBeforeAfter38764857

Given: The following data on the value of commercial is provided: Individual After Before 1 6 5…

Answered: A market research firm used a sample of…

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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7) Consider the following null and alternative hypothesis. Ho : µ=120 versus H1: p> 120 A random sample of 81 observations taken from this population produced a sample mean of 123.5 and a sample standard deviation of 15. If this test is made at the 2.5% significance level, would you reject the null hypothesis? Solution: I. Statement of the Hypothesis: Но H1 II. Statistical Test: III. Level of Significance and Critical Value: IV. Computed value of Z: V. Conclusion:
A randomly sampled group of patients at a major U.S. regional hospital became part of a nutrition study on dietary habits. Part of the study consisted of a 50-question survey asking about types of foods consumed. Each question was scored on a scale from one (most unhealthy behavior) to five (most healthy behavior). The answers were summed and averaged. The population of interest is the patients at the regional hospital. A prior survey of patients had found the mean score for the population of patients to be μ=2.9 After careful review of these data, the hospital nutritionist decided that patients could benefit from nutrition education. The current survey was implemented after patients were subjected to this education, and it produced the following sample statistics for the 15 patients sampled: x¯=3.5 and s=1.2 We would like to know if the education improved nutrition behavior. We test the hypotheses H0:μ=2.9 versus Ha:μ>2.9. The tt test to be used has the test statistic: Answer:
A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…
Lynn University wants to examine whether students display better academic performance in class versus online. They have collected GPAs of two different samples of students, a sample from classes that take place in-person and a sample from classes that take place online. The data set is below. They predict that in-class students perform better than online students. GPA's In Class GPA Online GPA 4.0 4.0 3.5 2.2 3.7 3.3 3.5 3.7 2.0 2.5 3.2 3.8 3.3 3.8 What type of t-test should we use for this research question? Group of answer choices a) One sample b) Independent samples c) Paired Samples
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year 1,476 1,800 Occupied Rooms Total Rooms 1,422 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let P₁= population proportion of rooms occupied for current year P2 population proportion of rooms occupied for previous year - P2 less than or equal to 0 greater than 0 Ho P1 Ha P1 P2 b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year .80 X Previous Year .77 c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. Previous Year p-value = 0.0166 Using a 0.05 level of significance, what is your conclusion? We can conclude that there…
A recent study on driving behavior examined whether the combination of high driving skills and low safety skills is dangerous. Participants were classified as high or low in driving skill based on responses to a driver-skill inventory, then classified as high or low in safety skill based on responses to a driver-aggression scale. An overall measure of driving risk was obtained by combining several variables such as number of accidents, tickets, tendency to speed, etc. The following data were obtained. Use a 2 x 2 ANOVA with the .05 significance level to evaluate the results. What cutoff score(s) should be used? Driving Skill Low High Safety Skill Low M1=5 M2=4.5 S1=2.7 S2=3.8 N1=6 N2=6 HIgh M3=3 M4=3.5 S3=2.9 S4=2.5 N3=6 N4=6 Group of answer choices +4.35 +3.40 +3.49 +4.26
Students at a major university in Southern California are complaining about a serious housing crunch. They are stating that many of the university's students have to commute too far to school because there is not enough housing near campus. The university officials' response is to perform a study. The study, reported in the school newspaper, contains the following histogram summarizing the commute distances for a sample of 100 students at the university. Relative frequency 0.3+ 0.2- 0.1+ 0.0 0 0.24 4 0.26 0.18 0.14 8 12 16 Commute distance (in miles) X 0.12 20 0.06 24 Based on the histogram, find the proportion of commute distances in the sample that are greater than or equal to 20 miles. Write your answer as a decimal, and do not round your answer.
For each of the following situations, identify the best measure of central tendency (mean, median, or mode): a. A charity recorded the number of donations made over the past six months. b. A bookstore on a college campus records the number of books sold each month over the summer. Sales were fairly similar for most months, but the store had a large number of sales in August, before classes began, compared to the other months of the summer. c. A Fortune 500 company asked a sample of stockholders to select their favorite logo from a set of 3 new potential logo options.
A research firm regularly conducts customer satisfaction surveys for an amusement park. A survey of 200 randomly selected park visitors on a weekday in May concluded the average age of visitors to the park was 39 years. When the survey was repeated with 200 randomly selected park visitors on a Saturday in May, the average age of visitors to the park was determined to be 17 years. Does the information represents a quantitative or qualitative variable? What is the age of the visitor? Does the visitor have a season pass?
A grocery store manager wants to estimate the mean purchase total for all customers that shop at her store. To do so, she selects a random sample of 30 receipts from the large list of all receipts that are stored in the computer. Here is a dotplot of the results. The mean purchase total is $93.80 and the median purchase total is $75.80. The store manager investigates and learns that the customer that made a $500 purchase had not purchased groceries, but rather a $500 gift card. Because this customer’s purchase was not typical, the manager decides to exclude this total from the data set. How will removing the $500 purchase from the data set affect the value of the mean and the median? (A) The mean will decrease more than the median. (B) The mean will decrease less than the median. (C) The mean will stay the same, but the median will decrease. (D) The mean will increase more than the median. (E) The mean will increase, but not as much as the median.
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupied Rooms 1,360 1,386 Total Rooms 1,700 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let pi = population proportion of rooms occupied for current year Pa= population proportion of rooms occupied for previous year Ho : Pi - Pa H.: Pi - P2 Select your answer Select your answer b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year Previous Year c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. p-value - Using a 0.05 level of significance, what is your conclusion? We Select your answer- vthat there has…
A researcher is studying psychological factors in artistic achievement among teenage girls. One variable he is particularly interested in is perseverance. What information does a measure of variability for the variable perseverance convey? Check all that apply. What is the central tendency for the variable perseverance among teenage girls? What is the most common value for the variable perseverance among teenage girls? How spread out are the values for perseverance amoung teenage girls? Do all teenage girls have the same amount of perseverance?

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