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- In a hypothesis test, the null hypothesis states that the population variance is equal to 25. A sample of size 36 is taken and the sample variance is found to be 30. What is the test statistic for this hypothesis test?Textbook: Statistics for the Behavioral SciencesGregory J. Privitera Please show your work-Concept and Application Problems (Pg.133) 1. If Sample 1 has a variance of 4 and Sample 2 has variance of 32, can we tell which sample had a larger range? If so, which sample had a greater range?Prices and mileage of 44 Toyota Prius cars. Prices ranged from $17,043 to $48,935. Mileage ranged from 403 to 70,838. While I did not share the cars were 2017 to 2020 models. Please show all work. Does this model meet the Normality assumption? Provide evidence and a discussion of support for meeting the assumption. Does this model meet the Equal Variance (Homoscedasticity) assumption? Provide evidence and a discussion of support for meeting the assumption. Price Mileage 17167 67380 24500 8137 20700 14907 20700 13906 18995 39268 21985 3292 19995 32630 19983 36074 19477 35484 20980 23954 24940 7001 24940 7991 25480 3476 17960 41051 25980 403 24500 8137 18588 66109 18788 51022 19200 32753 21985 38838 24512 2307 22997 33671 18480 27233 18480 27758 17043 70838 17761 21967 18488 11686 17793 26080 17900 36655 18100 46264 20500 27112 22410 17384 22817 2860 21660 17060 17575 54848 20250 21084 20259 21183…
- What do we call variance in the ANOVA equation, and what notation do we use to represent them?An elementary school teacher is interested in knowing if there is a significant difference in the average reading speed of fifth-grade boys and girls. She randomly selects 36 fifth grades boys and 36 fifth grade girls for the study. Each student is given several pages of the same book to read and the time it takes them to complete the reading is recorded in minutes. Boys Girls Sample Size 36 36 Sample Mean reading speed (in minutes) 11 12 Population Variance 3 2 The p-value is a. 0.156 b. 0.0037 c. 0.336 d. 0.238The second slide is the first part of the question and the first slide is the second part of the question
- One sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance for these two samples?Two samples. each with n = 5 scores, have a pooled variance of 40. What is the estimated standard error for the sample mean uniference? how do i solve?Part 2 Q2: Put (True) or (False). Write True or False for six questions from the following question. Write the reasons for correct answers, and correct any statement/answer if it is false (12 Marks). 1. As the sample size increases, the variance of the estimator decreases.
- The nation of Olecarl, located in the South Pacific, has asked you to analyze international trade patterns. You first discover that each year it exports 10 units and im- ports 10 units of wonderful stuff. The price of exports is a random variable with a mean of 100 and a vari- ance of 100. The price of imports is a random variable with a mean of 90 and a variance of 400. In addition, you discover that the prices of imports and exports have a correlation of r = -0.40. The prices of both ex- ports and imports follow a normal probability density function. Define the balance of trade as the difference between the total revenue from exports and the total cost of imports. What are the mean and variance of the balance of trade? What is the probability that the balance oft trade is negative?Second slide is the first part of the question and first slide is the second part of the question.A medical researcher wants to test whether the mean cholesterol levels are the same for 3 treatment groups of subjects (with 18 total randomly selected subjects): those who take a new medication, those who follow a diet, and those who make no changes to medication or diet. They plan to use a 5% level of significance for their decision. Below is a partial Analysis of Variance table. Use it to answer the following questions deg of freedom Sum of Squares Mean Square F statistic Treatment Group 3.121 1.5607 Error 1.517 0.1011 Total 17 What is the critical value of F we would compare this to (see F-table) [ Select ] What is our decision v [ Select ] More information is needed Do not reject the null hypothesis because our f-statistic is smaller than the critical f Reject the null hypothesis because our f-statistic is greater than the critical f Reject the null hypothesis because our f-statistic is smaller than the critical f Do not reject the null hypothesis because our f-statistic is…