Problem 1Suppose a researcher for the Department of Education wants to determine whether studentswho first attended a community college took longer to attain a bachelor's degree than those whoimmediately attended a 4-year institution. The table summarizes their findings.Community College | 4-year institutionn2₂ = 234.43 yearsX2=S2 = 1.015 yearsn₁ = 20X15.43 years$₁ = 1.162 years=Assuming that the population variances are equal, help the researcher answer their inquiry byconstructing and interpreting a 90% confidence interval for the difference between the means ofthe two population groups.

According to the given information in this question We need to construct 90% confidence interval and…

Answered: Problem 1 Suppose a researcher for the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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. The following data represent the observed number of defective disks produced each hour based on observing the system for 30 successive hours. 3 5 2 6. 8 3 5 4 6. 6 9. 1 2 1 2 5 3 3 1 7 1 7 4 4 3 a. Plot a frequency histogram for the numbers of failures per hour. b. Compute the mean and the variance of the sample. Use the formulas X = Xi- n i=1 1 X} – nX? п — 1 (Note: You can streamline the calculations by grouping the data first, as there are only 10 distinct values.) c. If the number of defective disks produced hourly is normally distributed with mean and variance computed in part (b), determine the probability that fewer than five defectives are observed in any particular hour. d. If each disk costs the company $5 to produce and defective disks are discarded, how long (in an expected-value sense) would it take to pay off a new piece of equipment costing $45,000 that would reduce defectives to half of the current level? Assume 40-hour production weeks and 48 weeks per year.
SCENARIO 10-3 A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes. Gotham: G = 35 months,SG2 = 900Metropolis: XM = 50 months, SM2 = 1050 Referring to Scenario 10-3, suppose a = 0.01. Which of the following represents the result of the relevant hypothesis test? A) Insufficient information exists on which to make a decision. B The null hypothesis is rejected. The alternative hypothesis is rejected. D) The null hypothesis is not rejected.
QUESTION 4 The Global Business Travel Association (GBTA) reported the domestic airfare for business travel for the current year and the previous year. Below is a sample of 6 flights with their domestic airfares (in $) shown for both years. Suppose GBTA wished to see if the average airfare for the current year is greater than the average airfare for the previous year at a=.1. Current 355 743 560 449 263 651 Previous 348 746 549 440 250 652 For the hypothesis stated above, what is the critical value (in terms of "Current" minus "Previous")? O a. 1.476 O b. 1.440 O C. 1.383 O d. None of the answers is correct O e. 1.372 QUESTION 5 Sav Click Save and Submit to save and submit. Click Save All Answers to save all answers. MacBook Pro
Question # 5: Twenty-five army inductees in Ontario were given a blood test to determine their blood type. The data set is A B B AB O O O B AB B B B O A O A O O O AB AB A O B A Calculate the single-number estimate of the population proportion of the army inductees who got blood type O.
1. In the experiment of A and B consumers, 20 sample points are set for A consumers, and t he average value of word-of-mouth is 10.1 with a variance of 2.2; 19 sample points are set for B consumers, and the average value of word-of-mouth is 10.9 with a variance of 2.7. Co mpare whether there is significant difference between the average word-of-mouth of A and B consumers. (a=0.05) (10')
Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Test whether age and type of movie preferred are independent at the 0.05 level. Person's Age Movie 18-23 yr 24-29 yr 30-35 yr Row Total Drama 7 13 14 34 Science Fiction 11 11 8 30 Comedy 8 10 11 29 Column Total 26 34 33 93 (A) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
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QUESTION 4 Guinea pig survival times: Here are the survival times (in days) of 32 guinea pigs after they were injected with infectious bacteria in a medical experiment: 43 45 53 57 58 66 67 73 74 79 80 81 82 89 97 98 99 100 102 109 113 114 123 137 144 156 162 174 198 211 249 329 Compute the five-number summary of Guinea pig survival times (in days): Min (53); 1st Quartile (83.5); Median (108.5); 3rd Quartile (150.5); Max (339) Min (53); 1st Quartile (74); Median (98.5); 3rd Quartile (144); Max (339) Min (53) ; Mean (124.4); Median (98.5); standard deviation (63.27); Max (339) O Min (43); 1st Quartile (73.5); Median (98.5); 3rd Quartile (140.5); Max (329)
Question 2: Coca-Cola Co. wants to maximize its bottle production by implementing a new method. Its R&D division conducted a research on its employees to find out their average errors on a daily basis for the last month 31 26 39 32 41 37 29 29 43 63 51 44 54 38 23 48 22 38 40 56 47 Construct a frequency and cumulative frequency distribution table.
Age is a variable that is important in most if not all epidemiological studies of health because our health is so strongly related to age. The following table is a two-dimensional table that summarizes the distribution of age in a certain population every five years starting with 1970 (the first row) to 2000 (the last row). Each row contains information for one year. Reading across the row (over the column), the table shows the number of individuals in each age group. If you choose this option, please do the following: (a) using the data provided, produce a new two-dimensional table that shows, for each year, the percentage of that year’s total population in each age interval (Tip! In each row, the sum of your percentages should be 100%); and (b) write a brief report (a paragraph or so, no more!) on what these summaries suggest regarding the possibility (or lack thereof) of changes over time in the age distribution of this population. Interval of Age, years…
d and e please
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