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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Researchers have shown that cigarette smoking has a deleterious effect on lung function. In their study of the effect of cigarette smoking on the carbon monoxide diffusing capacity (DL) of the lung, Ronald Knudson, W. Kaltenborn and B. Burrows found that current smokers had DL readings significantly lower than either ex-smokers or nonsmokers. The carbon monoxide diffusing capacity for a random sample of current smokers was as follows: 103.768 88.602 73.003 123.086 91.052 92.295 61.675 90.677 84.023 76.014 100.615 88.017 71.210 82.115 89.222 102.754 108.579 73.154 106.755 90.479 Do these data indicate that the mean DL reading for current smokers is lower than 100, the average DL reading for nonsmokers? A. Find the test statistics and interpret the results, a = 0.01? B. Calculate p value and interpret the results. C. Find the confidence interval for a = 0.05.
A study was conducted to examine the difference between the average cholesterol levels in the blood of men and females. It can be assumed that cholesterol levels follow a normal distribution in both populations and that the distribution in the populations is similar (e. Assume that cholesterol levels follow a normal distribution in both populations with similar variances). An equal number of measurements were made on men and women. The results were entered into R and the R code and output can be seen below: t.test(kol$mael-kol$kyn,var.equal = T) %3D Two Sample t-test data: kol$mael by kol$kyn t = 5.7731, df = 18, p-value alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: 15.28775 32.78050 = 0.000018 sample estimates: mean in group Men mean in group women 219.2115 195.1774 1. Which statement is best based on the results of the study? Use a=0.05. a. The P-value is lower than a and therefore can be rejected HO b. The P-value is higher than a…
A study was conducted to determine if lung cancer altered levels of surfactant in the alveoli of the lung. Seven healthy subjects in the study yielded the following data on surfactant levels: 18, 12, 15, 15, 16, 9, 17. Seven lung cancer patients yielded the following results: 16, 8, 7, 15, 11, 12, 9. Do these data indicate a difference in the surfactant level with cancer? Let α = 0.05. Give the p-value.
The authors of a paper classified characters who were depicted smoking in movies released between a certain range of years. The smoking characters were classified according to sex and whether the character type was positive, negative, or neutral. The resulting data are summarized in the accompanying table. Assume that it is reasonable to consider this sample of smoking movie characters as representative of smoking movie characters. Do the data provide evidence an association between sex and character type for movie characters who smoke? Use α = 0.05. Sex = Male Female Positive Negative Neutral 256 Character Type 85 107 11 132 51 Calculate the test statistic. (Round your answer to two decimal places.) x² Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? O Reject Ho. There is convincing evidence to conclude that there is an association between sex and character type for movie characters who smoke. Fail to reject Ho.…
In the US, 42.3% of all people have type O blood, 40.8% have type A blood, 12% have type B blood and 4.9% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 897 millionaires. What can be concluded at the significant level of a = 0.1. For this study, we should use [x²GOF-Test Your friend Henry helped you with the null and alternative hypotheses... Ho: The distributions of blood types are the same between the general population and the millionaires. H₁: The distributions of blood types are NOT the same between the general population and the millionaires. You drew 897 samples, and the observed frequencies are recorded below. Please complete the table (round answers to at least 4 decimal places). Blood Type 0 A B AB Observed Frequency 375 The degree of freedom = 366 104 52 The test-statistic for this data = The p-value for this sample= Expected Frequency (Please show your…
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.
The Office of the University Registrar of Seoul University would like to know if the degree programs in College of Science and Math are equally preferred by students. Furthermore, the office would like to know if such degree programs are related to the gender of the students. The test claim that the proportions of the students enrolled are equal in each degree program at alpha=0.05 Using the data on the number of currently enrolled students in each gender (M of F) in each of the four degree programs, find the: a. Table showing the observed and expected values b. Chi-square critical Value c. Chi-square test statistic d. Accept or Reject the null hypothesis?
An educator is interested in determining if the medium used for online classes, whether a smartphone or laptop/desktop, influences the time (hrs) that Grade 12 students spend in these classes. A random sample of 10 students who were using smartphones and another random sample of 10 students who were using laptop/desktop were interviewed and reported the following times they spend in their daily online classes: Smartphone 0 30230 1 5 4 3 Medium for Online Class Laptop/Desktop 2 7 3 3 0 3 1 3 15 Suppose the assumption of equality of variance is satisfied. Perform an appropriate test of hypothesis to determine if the average time spent online significantly differs between the students using these two mediums. Use a 5% level of significance.
A pharmaceutical company has developed a drug that is expected to reduce hunger. To test the drug, three samples of rats are selected with n=9 in each sample.The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all (the control group). These assignments of drugs are called treatments.The (dependent) variable being compared is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table. How many groups (or population means or treatments) are being compared in this problem? _________ (Enter a whole number) What is the total number of data used in this problem? _________(Enter a whole number) Fill in all missing values in the table. (Hint: Start with the df column and your above answers.)If there are decimal places in your answer, provide 2 or more decimal places. Source of Variation SS df MS F…
Calculate the Spearman correlation coefficient between two sets of data: set A = [6, 8, 10, 12, 14] and set B = [2, 4, 6, 8, 10].
A police academy has just brought in a batch of new recruits. All recruits are given an aptitude test and a fitness test. Suppose a researcher wants to know if there is a significant difference in aptitude scores based on a recruits’ fitness level. Recruits are ranked on a scale of 1 – 3 for fitness (1 = lowest fitness category, 3 = highest fitness category). Using “ApScore” as your dependent variable and “FitGroup” as your independent variable, conduct a One-Way, Between Subjects, ANOVA, at α = 0.05, to see if there is a significant difference on the aptitude test between fitness groups. Identify the correct symbolic notation for the alternative hypothesis. A. H0: µ1 = µ2 B. HA: µ1 ≠ µ2 ≠ µ3 C. H0: µ1 = µ2 = µ3 D. HA: µ1 ≠ µ2
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