Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength 66 74 Distribution of Super Power by Gender Female 14 Male 39 70 14 What is the empirical probability that a randomly selected female superhero will have Super Strength? Answer in decimal form. Round to 3 decimal places as needed
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- A researcher asked a group of 11 children to report on a 7-point Likert scale how sociable they feel first thing in the morning (low scores indicate not very sociable, high score indicate very sociable). The data in the frequency table below were obtained. The means is: Score 7 1 1 4 2 3 2 2. 1. N = 11 O 1.00 O 1.57 O 4.00 O 2.00 6.The researchers from a study interviewed two random samples, one in 2015 and one in 2018. Both samples were asked "Have you read a print book in the last year?" Use the accompanying results from the study to complete parts (a) through (c). Read a print book Total 9 Yes 2521 1375 No Total 2015 1206 680 1886 p-value= (Round to three decimal places as needed.) 2018 1315 695 2010 a. Find and compare the sample proportions that had read a print book for these two groups. The sample proportion of the 2015 subjects that read a book within the last year is. The sample proportion of the 2018 subjects that read a book within the last year is (Round to four decimal places as needed.) The sample proportion for 2015 is b. Find a pooled estimate of the sample proportion. A pooled estimate of the sample proportion is (Round to four decimal places as needed.) c. Has the proportion who read print books increased? Find the observed value of the test statistic to test the hypotheses Ho: P₁ = P2 and Ha:…A violin student records the number of hours she spends practicing during each of nine consecutive weeks: 6.2 5.0 4.3 7.4 5.8 7.2 8.4 1.2 6.3 What is the mean number of hours spent practicing per week during this period? a. 6.20 hours b. 6.15 hours c. 8.40 hours d. 5.76 hours
- d. There is a 30% chance that X is above what value? X= (Type an integer or decimal rounded to two decimal places as needed.)In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash Damage ($) Goliath Varmint Weasel 1,660 1,290 1,000 770 1,440 2,120 880 1,320 1,850 1,960 1,820 1,210 1,240 960 1,960 Crash Damage in Dollars Goliath Varmint Weasel 1660 1290 1000 770 1440 2120 880 1320 1850 1960 1820 1210 1240 960 1960Suppose a group is interested in determining whether teenagers obtain their drivers license at approximately the same average age across the country. Five teenagers from each region of the country were randomly selected. The data collected is their age at which the teenagers obtained their drivers licenses and is summarized in the table below. Test the hypothesis that the five regions produce the same mean average for a teenage driver’s license. Northeast South West Central East 16.3 16.9 16.4 16.2 17.1 16.1 16.5 16.5 16.6 17.2 16.4 16.4 16.6 16.5 16.6 16.5 16.2 16.1 16.4 16.8 (a)What are the hypotheses? (b)What is the F – Statistic? (c) What is the p – value? (d) What can you conclude about the null hypothesis? (e) What can you conclude about the population means?
- Question: In a class of 50 students, the scores on a statistics exam are as follows: 10 students scored 80, 15 students scored 70, 20 students scored 60, and the rest scored 50. What is the mean score on the exam?A researcher measures the relationship between hours worked by employed students and the number of units taken during the first semester of college for each individual in a group of 25 community college students. For this study: a. If we calculate the average hours worked by these community college students, the average would be an example of a ________ statistic b. Is a sample or population being measured here? c. What kind of a research study is this? d. N/n = e. What level of measurement is the number of units taken? Step 2 – check your work! Was your answer correct? If not, please make any correction here: Step 3 - if your answer was incorrect, please write out what was wrong (skip this if you were correct) show working for eachThe type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S.Households Observed Numberof Households inthe Community Married with children 26% 92 Married, no children 29% 121 Single parent 9% 31 One person 25% 102 Other (e.g., roommates, siblings) 11% 65 A) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test statistic to three decimal places.) B)Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
- Chapter 13 A researcher wants to determine whether there is a difference in the mean age of community college prófessors, publiC university professors, and private university professors. Professors from each were randomly selected across America and their ages were recorded. The data is given below. Test whether there is a difference in the mean ages. Find the P-Value. Community College Public University Private University 23 38 45 28 36 45 27 41 39 37 47 61 52 42 36 25 31 35 O 0.3571 O 0.2357 O 0.1142 O 0.2289Please help me with number six on this algebra II review. Thank youUse the following data to calculate the expected frequencies for each category. fe Type fo A B Total 190 320 215 325