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- Q1 A) List down the measures of central tendency and measures of dispersion 2) The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of B) which is expected to be 575 millimeters. A sample of five tires of each grade was selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows. Grade X grade Y 568 570 575 578 584 573 574 575 577 578 requirement. a) for each of the tow grades of tries, compute the mwan, median, and standred deviation. b) which grade of tire providing better quality? explain. c) what would be the effect on your answer in (a) and (b) if the last value for grade Y were 588 insert 578 explain. C) The file contins the overall miles per gallon (MPG) OF 2010 family sedan: 24 21 22 23 24 34 34 34 20 20 22 22 44 32 20 20 22 20 39 20 Source:…The weights of radish seeds are normally distributed, with µ = 0.12 g and σ = 0.02 g. What is the z-score of a radish seed that weighs 0.093 g? If the contents of a seed packet weighs 30.0 g, approximately how many seeds are in it? Approximately how many seeds in the packet weigh between 0.08 g and 0.16 g.?A horticulture student is interested on the antifungal properties of three plant species. Leaf extracts from each species were mixed with agar based growth medium and poured into 5 Petri dishes. The Petri dishes were streaked with fungi isolates and the area in sq mm of fungal growth was measured after seven days. Assuming the areas of growth are not normally distributed, which is the most appropriate analysis for the experiment to find difference? A. Kruskal Wallis B. Friedman C. t-test D. sign test
- Are the following results significant at α=.01? F(2,27) =10.56, p=.02 Yes No 2. A large F-ratio (or a significant result) is the result of: a small amount variability within the groups and a large amount of variability between the groups a large amount variability within the groups and a small amount of variability between the groups a large amount variability within the groups and a large amount of variability between the groups a small amount variability within the groups and a small amount of variability between the groupsA 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. H0:β1=0Ha:β1≠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? 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 at least as extreme as 3.34 is 0.001. A If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater is 0.001. If the alternative hypothesis is true, the probability of observing a test statistic of 3.34 or greater…With α = .05, what is the critical t value for a one-tailed test with n = 25? t = 2.064 t = 1.711 t = 2.060 t = 2.708
- A survey among the workers in a large manufacturing company was taken, in order to findout from which company the workers had purchased their mobile phones, and to find outwhether the choice of mobile phone company was related to the type of worker. The resultsare shown in the table below. ls there evidence, at 5% level, that the choice of Phone Company is independent of the type ofworker?The data in the accompanying table are from a paper. Suppose that each person in a random sample of 49 male students and in a random sample of 88 female students at a particular college was classified according to gender and whether they usually or rarely eat three meals a day. Find the test statistic and P-value. (Use SALT. Round your test statistic to three decimal places and your P-value to four decimal places.) Usually Eat3 Meals a Day Rarely Eat3 Meals a Day Male 26 23 Female 35 53A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.33. A dietician is asked to test this claim and finds that a random sample of 24 servings has a variance of 1.37. At α=0.01, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below. (a) Write the claim mathematically and identify H0 and Ha. A. H0: σ2≤1.33 (Claim) Ha: σ2>1.33 B. H0: σ2≠1.33 Ha: σ2=1.33 (Claim) C. H0: σ2≥1.33 Ha: σ2<1.33 (Claim) D. H0: σ2=1.33 (Claim) Ha: σ2≠1.33 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are) enter your response here. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Choose the correct statement below and fill in the corresponding answer boxes. A. The…
- With α = .05, what is the critical t value for a one-tailed test with n = 15? a. t = 1.761 c. t = 2.145 b. t = 1.753 d. t = 2.131A researcher collects data that represents the average number of hours of sleep in the last two nights by 8 depressed patients and 9 non-depressed patients. The researcher is interested in whether the two groups reliably differ in the amount of sleep they get. Use Jamovi to calculate t-obt and the p value.In a sample of 15 randomly selected high school seniors, the mean score on a standardized test was 1191 and the standard deviation was 164.6. Further research suggests that the population mean score on this test for high school seniors is 1012. Does the t-value for the original sample fall between −t0.99 and t0.99? Assume that the population of test scores for high school seniors is normally distributed. The t-value of t=nothing ▼ fall between −t0.99 and t0.99 because t0.99=nothing. (Round to two decimal places as needed.)