A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use a = 0.05 and the following data to test the hypothesis and comment on the value of the commercial. Purchase Rating Individual After Before 5 2 6 4 5 3 6. 6. 9 8. 7 8. 6 7 State the null and alternative hypotheses. (Use H = mean rating after - mean rating before.) O Ho: HosO Hgi Hg = 0 O Ho: HosO Hai Hq> 0 O Ho: Ho *0 Hoi Ho = 0 O Ho: Ho = 0 O Ho: Hg>0 Calculate the value of the test statistic. (Round your answer to three decimal places.)

A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use a = 0.05 and the following data to test the hypothesis and comment on the value of the commercial. Purchase Rating Individual After Before 5 2 6 4 5 3 6. 6. 9 8. 7 8. 6 7 State the null and alternative hypotheses. (Use H = mean rating after - mean rating before.) O Ho: HosO Hgi Hg = 0 O Ho: HosO Hai Hq> 0 O Ho: Ho *0 Hoi Ho = 0 O Ho: Ho = 0 O Ho: Hg>0 Calculate the value of the test statistic. (Round your answer to three decimal places.)

Name: Calculate the p-value. (Round your answer to four decimal places.)p-v
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Description: Calculate the p-value. (Round your answer to four decimal places.)p-value =State your conclusion.Reject Ho. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.Reject Ho. There is insufficient

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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PLEASE ANSWER ASAP. A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use a=0.05 and the following data to test the hypothesis and comment on the value of the commercial. Purchase Rating Purchase Rating Individual After Before Individual After Before 1 6 5 5 3 4 2 6 4 6 9 7 3 8 8 7 7 5 4 4 4 8 6 7 What are the hypotheses? Compute d (to 3 decimals) Compute sd (to 1 decimal). What is the p-value? What is your decision?
What is the summary of the overall model of the data shown in question 1? Is it one that you would trust from a statistical standpoint? specifically why ?
The researcher believes that happy workers are more productive workers. So he administers a job satisfaction scale to 100 randomly selected workers at his company. He also gets measures of their work productivity from the HR department (number of customers served). What is the researcher’s alternative hypothesis? a. There will be a difference between job satisfaction and worker productivity. b. The correlation between job satisfaction and worker productivity will be greater than zero. c. The most satisfied workers will be less likely to leave the company. d. There will be no relationship between job satisfaction and worker productivity.
In a 2015 study entitled How Undergraduate Students Use Credit Cards, it was reported that undergraduate students have a mean credit card balance higher than $3000. This figure was an all-time high and had increased 42% over the previous five years. Assume that a current study is being conducted to determine if it can be concluded that the mean credit card balance for undergraduate students has continued to increase compared to the report. They want to test to see if the balance for students in 2019 is higher than the balance for students in 2015. See the sample below of undergraduate students in 2015 and different undergraduate students in 2019. Credit Card Increase Students in 2015 Students in 2019 2500 3300 2200 5450 1500 8000 930 2000 5300 870 1150 250 2700 3000 3300 2200 What can we conclude from this t-test? a) Reject the null hypotesis OR Fail to reject the null hypotesis? b) We can conclude that the student balance in 2019 are significatly…
A psychology student conducted a study on using a chief executive officer's facial structure to predict a firm's financial performance. The facial width-to-height ratio (WHR) for each in a sample of 47 CEOs at publicly traded firms was determined. The sample resulted in x=2.23 and s=0.35. The student wants to predict the financial performance of a firm based on the value of the true mean facial WHR of CEOs. The student wants to use the value of μ=2.1. Do you recommend he use this value? Conduct a test of hypothesis for μ to help you answer the question. Specify all the elements of the test, including H0, Ha, test statistic, p-value, and your conclusion. Test at α=0.01.
Destiny wants to know whether gender predicts depressive symptoms in patients with heart disease. She assesses the number of depressive symptoms experienced by a large sample of patients and finds that the data on depressive symptoms are positively skewed. Which assumption of a single-sample z test has Destiny most likely violated?
(b) The team at the Natural-Life company goes out to the city to sell daily. John is a member of the team. He claims that on average, he sells $50,000 worth of their product to each store that he visits per week. The new manager is wary of this claim and believes he may be overstating his sales. To test the claim, the manager took a random sample of 27 stores that the sales representative usually visits weekly and found that the mean amount earned was $48,950 with a standard deviation of $1,250. At the 0.01 level of significance, can it be concluded that John is overestimated his sales? … (ie. his sales might be less than he claimed)
Suppose you were to collect data for the following pair of variables, drivers: blood alcohol level, reaction time. You want to make a scatter plot. Which variable would you use as the explanatory variable? Blood alcohol or reaction time? Which variable would you use as the response variable? Blood alcohol or reaction time? Would you expect to see a positive or negative association? Or neither?
A large public school system was evaluating its elementary school reading program. In particular, educators were interested in the performance of students on a standardized reading test given to all third graders in the state. The mean score on the test was compared to the state average to determine the school system's rating. Also, the educators were concerned with the variation in scores. If the mean scores were at an acceptable level but the variation was high, this would indicate that a large proportion of the students still needed remedial reading programs. Also, a large variation in scores might indicate a need for programs for those at the gifted level. Without accelerated reading programs, these students lose interest during reading classes. To obtain information about students early in the school year (the statewide test is given during the last month of the school year), a random sample of 25 third-grade students was given the exam used in the previous year. The possible…
It is known that average house prices today is $371,040 higher compared to 10 years ago and median in the current time also $382,000 higher than house prices 10 years ago. Provide an interpretation of the change of mean and median based on the information above. Compare and contrast these values and comment on the distribution of the increases in house prices.
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…
A colleague of yours is faced with testing a relationship at the .05 level or significance or the .01 level of significance. What is your advice to your colleague? Why?