2)a) Create a hypothesis for the premise that there is no difference in thetwo samples.Use the data in #1 to:b) Use the F distribution and the Excel (F-test two sample for variance)function to test the hypothesis.c) Are the populations the same? Why/Why not? 1. Tommy's cab company transports riders using 2 routes. Use the followingdata to determine the mean driving time and the variance in the driving time.Route 154695847725666Route 26162635358655967

Given the data of Tommy's cab company transport riders using 2 routes as Route 1 Route 2 54 61…

Answered: 2) a) Create a hypothesis for the…

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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A researcher takes sample temperatures in Fahrenheit of 20 days from Minneapolis and 18 days from Cleveland. Use the sample data shown in the table. Test the claim that the mean temperature in Minneapolis is different than the mean temperature in Cleveland. Use a significance level of α=0.01 Assume the populations are approximately normally distributed with unequal variances.Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs. Minneapolis Cleveland 70.1 66.1 69.5 65.9 65.7 61 71.7 62.8 62 67.9 75.3 74.5 63.2 69.1 62 72.5 76.9 80.4 71.3 72.7 70.9 70.4 70.5 76.6 65.1 62.2 76.2 66.1 70.3 86 69.5 81 80.2 68.3 74.3 63.3 70.7 64.6 The Null Hypotheses is: H0: μ1 - μ2 = 0 What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen mode.)HA: μ1 - μ2 Based on these hypotheses, find the following. Round answers to 4 decimal…
X is quarterly Covid-19 cases in an inner city hospital Quarter Quarter Quarter Quarter A C 130 18 90 25 What is the sample mean and variance (in that order)?
1. 2. 4. 1. 2. The distribution of a sample of 100 test scores is mound-shaped and symmetrical, with a mean of 50 and a variance of 144. 3. a) b) c) 4. d) 3. a) a) A sample of 200 people were given a test. The distribution of the test scores was mound- shaped and symmetrical with a mean of 100. One person, whose test score was 125, was found to be at the 84th percentile. b) d) Answers: b) Approximately how many scores are equal to or greater than 74? What score corresponds to the 75th percentile? If the lowest and highest scores in this sample are 14 and 89, respectively, what is the range of the scores in standard deviation units? b) Assume that the 100 test scores still have a mean of 50 and a variance of 144, but now have a strongly negatively skewed distribution. At least how many of the scores fall between 32 and 68 in this distribution? What is the Z-score of a person whose test score is 70? Approximately how many people obtained scores greater than 135? Approximately how many…
The next test is a t-test for unequal variance. Here is the problem: The human resources department at Sue, Grabitt, and Runne also tracks the cost of one-bedroom apartments in two popular neighborhoods, NoBo and SoBo. The general perception of long-time residents is that rents are probably lower in SoBo. They hope to determine whether the average rent for a one-bedroom apartment is lower in SoBo than in NoBo. The results of their survey are shown in Tables 18 and 19: Step 2. Select the Level of Significance, α A 5 percent significance has been selected. Step 3. State the Null Hypothesis (H0) and Alternate Hypothesis (H1) H0: H1: Step 4. Compose the Decision Rule Step 5. Calculate the Value of the Test Statistic, p-value, and estimate statistical power Use G*Power to calculate statistical power
A researcher takes sample temperatures in Fahrenheit of 18 days from Pittsburgh and 16 days from Cleveland. Use the sample data shown in the table. Test the claim that the mean temperature in Pittsburgh greater than the mean temperature in Cleveland. Use a significance level of a = 0.01. Assume the populations are approximately normally distributed with unequal variances. Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs. Pittsburgh Cleveland 99 82.1 91.2 60.4 88.1 75.5 91.8 79.5 96 73.3 90.6 57.5 91.5 63.4 69.5 64.1 88.6 78.9 89.2 93 86.2 76.7 83.9 57.5 107.1 58.4 98.5 80.7 82.2 81.4 72.4 55.2 85.2 105.3 The Null Hypotheses is: Ho: µ1 - µ2 = 0 What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen mode.) HA: µ1 - µ2 ? v Select an answer Based on these hypotheses, find the following. Round answers to 4 decimal places. Test Statistic = p-value =
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 for each movie. The results of the survey are as follows. Assume that the population variances are approximately equal. Box Office Revenues (Millions of Dollars) n Drama 10 160 30 Comedy 15 140 10 Copy Data Calculate a 99 % confidence interval for the difference in mean revenue at the box office for drama and comedy movies. Let dramas be Population 1 and comedies be Population 2. Write your answer using interval notation and round the interval endpoints to two decimal places.
28.
Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05. Longboard: 4,8,8,4,7,7,10,6,8,10,12,11,9,15,11,16,12,9,12,18,19,15,11,15,19,20,9,23,21,23 Shortboard: 6,4,4,6,7,7,8,9,4,7,8,5,9,7,4,15,11,10,13,12,11,14,9,11,12,16,9,20,22,11 Determine the hypotheses for this test. Choose the correct answer below. O A. Ho: PL=Ps O B. Ho: HL Hs O F. Ho: HL> Hs Ha: HL # Hs Ha: HL = Hs Find the test statistic for this test. t= (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places as needed.) What is the conclusion for this…
Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance. At the 0.025 significance level, test the claim that the four brands have the same mean if the following sample results have been obtained. Brand A Brand B Brand C Brand D 21 24 22 17 20 21 18 25 27 29 35 18 23 25 22 25 26 29 29 21 26 36 37
A chi-square homogeneity test is to be conducted to decide whether a difference exists among the distributions of a variable of seven populations. The variable has four possible values. What is the degrees of freedom for the x²-statistic? The degrees of freedom is (Simplify your answer.)
Which of the following statements are TRUE for Mann-Whitney U test? I. Data is normally distributed II. Can only be used to test two groups III. Converted into ranks IV. No assumption on variances homogeneity a. I, II, III & IV b. II, III & IV c. I, II & III d. II & III
Two machines are used to package laundry detergent. It is known that weights of boxes are normally distributed. Four boxes from each machine have their contents carefully weighed, with the following results (in grams): Machine 1: 1752 1757 1751 1754 Machine 2: 1756 1750 1752 1746 An engineer wishes to test the null hypothesis that the mean weights of boxes from the two machines are equal. He decides to assume that the population variances are equal, reasoning as follows: The sample variances are s = 7.0) for machine 1 and s for testing for equality of population variances is F3 = s Is = 2.48. The upper 10% point of the F33 distribution is 5.39. Since the null hypothesis specifies that the variances are equal, I determine that the P-value is greater than 2(0.10) = 0.20. Therefore I do not reject the null hypothesis, and I conclude that the variances are equal. = 17.33 for machine 2. The F statistic Has the F test been done correctly? b. Is the conclusion justified? Explain. a.

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2) a) Create a hypothesis for the premise that there is no difference in the two samples. Use the data in #1 to: b) Use the F distribution and the Excel (F-test two sample for variance) function to test the hypothesis. c) Are the populations the same? Why/Why not?