A Hollywood studio believes that a movie that is considered a drama will draw a larger crowd on average than a movie that is considered a comedy. To test this theory,the studio randomly selects several movies that are classified as dramas and several movies that are classified as comedies and determines the box office revenue foreach movie. The results of the survey are as follows. Do the data substantiate the studio's belief that dramas will draw a larger crowd on average than comedies atα = 0.05? Let dramas be Population 1 and comedies be Population 2. Assume that the population variances are approximately equal.Box Office Revenues(Millions of Dollars)n xDrama 18 150Comedy 13 110Copy DataStep 3 of 3: Make the decision and state the conclusion in terms of the original question.S5030

The objective of the question is to determine whether the data substantiates the studio's belief…

Answered: A Hollywood studio believes that a…

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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The 2006 Statistical Abstract of the United States reports on a survey that asked a national sample of 80,000 American households about pet ownership. Suppose (for now) that one-third of all American households own a pet cat. This survey found that 32.8% of the households sampled owned a pet cat. Is this number a parameter or a statistic? Calculate the Z-score of this sample proportion (0.328).
An internet provider wants to see if male and female college students spend a different amount of time online each day. In a random sample of 200 male college student shows the mean was 85 minutes with σ = 15 minutes. Another sample of 250 female college students has a mean of 81 minutes and σ = 17 minutes. Is there enough evidence to prove the claim at α = .05.
In a study examining the relationship between coffee consumption and heart disease, the researcher obtained a value of r(98) = -.58, p = .04. The results conclude: A. proves that the more coffee you drink, the less chance of heart disease. B. proves that the less coffee you drink, the greater the chance of heart disease. C. demonstrates that there is a strong relationship between coffee consumption and heart disease. D. demonstrates that there is a poor relationship between coffee consumption and heart disease.
ab Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 1250 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A random sample of 26 tardigrade colonies found that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1239 Gy, with a sample standard deviation of 45 Gy. Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to support that μ, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1250 Gy. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for…
1. Birds can regrow feathers if they are lost. A researcher was interested in whether newly regrown feathers in the tails of northern flickers differed in colour (yellowness in particular) compared to older feathers. To test this, they measured the yellowness of one new and one randomly selected old feather on each of 20 birds. A plot of their data and the results of their analysis are shown below. Yellowness 160 150 140 130 new X Feather old Welch Two Sample t-test = data: Yellowness by Feather t = 1.5832, df 37.986, p-value 165 sample estimates: mean in group new mean in group old 147.9623 143.3000 160 New 155 150 145 140 135 = 0.1217 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: -1.299296 10.623962 T T T T T 130 135 140 145 150 155 160 Old a) From the results above, what is the null hypothesis and what statistical conclusion do you make concerning it?
The Admission director for a college far from mart and town believes that an inverse relationship exists between a private college's average discount rate(determined by the average amount of scholarships students receive) and the annual yield (the percentage of admitted students who actually attend). The Director's independent variable is a private college's discount rate measured as a percentage, and the dependent variable is the college's annual yield measured as a percentage. The following results were obtained for a sample of 30 private colleges: x- Discount rate(percentage) - range: 35 to 72 percent y- Annual Yield(percentage) - range: 12 o 81 percent Σxi = 1612 Σyi = 898 Σxiyi = 44,377 Σxi2 = 89,790 Σyi2 = 35,704 a. Calculate the sample regression line's slope estimate. Interpret the sample regression line's slope estimate. b. Calculate the sample regression line's intercept estimate. Interpret the sample regression line's intercept estimate. Assume the following sum of…
Imagine that a professor of psychology has two teaching assistants (TAs) who will help her grade assignments for the duration of the semester. The professor wants to make sure that she and the TAs are well calibrated with one another, so she has all three of them grade the first assignment independently. Because the professor grades every assignment on a curve, she first converts the students’ scores to z-scores for each grader. The following table shows the z-scores for a population of 10 students in her class for each grader. Professor Teaching Assistant #1 Teaching Assistant #2 Student 1 0.70 1.27 1.27 Student 2 0.83 -0.64 -1.55 Student 3 -0.98 0.38 -0.14 Student 4 2.21 0.80 0.92 Student 5 -0.54 -1.34 -1.06 Student 6 0.43 0.10 0.30 Student 7 -1.03 -2.09 -1.50 Student 8 -0.01 0.85 1.14 Student 9 -0.54 0.48 0.57 Student 10 -1.07 0.20 0.04 The professor is going to use the z-scores to calculate the correlation coefficient between her scores…
A weight-loss program wants to test how well their program is working. The company selects a simple random sample of 51 individual that have been using their program for 15 months. For each individual person, the company records the individual's weight when they started the program 15 months ago as an x-value. The subject's current weight is recorded as a y-value. Therefore, a data point such as (205, 190) would be for a specific person and it would indicate that the individual started the program weighing 205 pounds and currently weighs 190 pounds. In other words, they lost 15 pounds. When the company performed a regression analysis, they found a correlation coefficient of r = 0.707. This clearly shows there is strong correlation, which got the company excited. However, when they showed their data to a statistics professor, the professor pointed out that correlation was not the right tool to show that their program was effective. Correlation will NOT show whether or not there is…
A researcher was interested whether an individual's preference in political party affiliation was influenced by their level of education and gender. A random sample of participants were recruited, and preferences were scored from 0 - 10 (0 meaning no preference, 10 meaning greater preference). The researcher then divided participants by gender (1 = male/2 = female) and then again by level of education (1 = some school/2 = college/3 = university). Assume alpha at 0.05. Gender Education Level Political Interest 1 10 1 1 9. 1 2 2 1 1 1 1 1 1 4 4 1 9. 1 3 8 What is the dependent variable? What is the appropriate type of statistical analysis to run? What is the conclusion? Please write in APA format.
A sample of 70mwomen is obtained, and their heights (in inches) and pulse rates (in beats per minute) are measured. The linear correlation coefficient is 0.255and the equation of the regression line is y(caret) 17.8 + 0.950 x where x represents height. The mean of the 70 heights is 62.7in and the mean of the 70 pulse rates is74.5 beats per minute. Find the best predicted pulse rate of a woman who is 68 in tall. Use a significance level of alpha equals 0.01
An article indicated that the biggest issue facing e-retailers is the ability to turn browsers into buyers. The article stated that less than 10% of browsers buy something from a particular website. A SRS of 2000 browsers was taken of which 180 made a purchase. Let alpha = .10.
A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer's credit risk and that of an independent rating agency. The company collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim. Но : В, — 0 Ha : B1 + 0 The test yielded a t-value of 3.34 with a corresponding p-value of 0.001. Which of the following is the correct interpretation of the p-value? A If the alternative hypothesis is true, the probability of observing a test statistic at least as extreme as 3.34 is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001. C If the null hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001. If the null hypothesis is true, the probability of observing a test statistic of 3.34 is 0.001. E If the null hypothesis…

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