A survey collects demographic, socioeconomic, dietary, and health-related information on an annual basis. Here is a sample of 20 observations on HDL cholesterol level (mg/dl) obtained from the survey (HDL is "good" cholesterol; thehigher its value, the lower the risk for heart disease).36 48 51 55 66 505246 85 35 45 34 404440 6294 36 31 47(a) Calculate a point estimate (in mg/dl) of the population mean HDL cholesterol level.mg/dl(b) Making no assumptions about the shape of the population distribution, calculate a point estimate (in mg/dl) of the value that separates the largest 50% of HDL levels from the smallest 50%.mg/dl(c) Calculate a point estimate (in mg/dl) of the population standard deviation. (Round your answer to three decimal places.)mg/dl

Answered: A survey collects demographic,…

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 report "Education Pays 2016"t provided information on education level and earnings for a sample of adult Americans who are employed full-time. Data consistent with summary percentages given in the report are summarized in the accompanying table. High School Diploma Associate Degree Bachelor's Degree USE SALT Less than $20,000 to $40,000 to $20,000 $39,999 $59,999 ,2 8 11 46 69 57 161 105 55 101 $60,000 or more 243 63 82 Suppose this data resulted from a representative sample of 1,001 working adults whose highest level of education was a high school diploma, an Associate degree, or a Bachelor's degree. Each person in the sample was classified according to education level (high school diploma, Associate degree, or Bachelor's degree) and yearly income with possible categories of less than $20,000, $20,000 to $39,999, $40,000 to $59,999 and $60,000 or more. Is there evidence of an association between income category and education level? Test the appropriate hypotheses using a 0.05…
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The caloric content (in calories) and sodium content (in mg) were collected for 27 beef hotdogs. The data are in the table below. X, caloric content Y, sodium content 141 386 153 401 139 322 135 298 157 440 149 319 184 482 140 326 185 486 187 499 186 495 175 479 191 591 159 374 111 300 149 379 190 587 177 429 176 425 190 645 131 317 148 375 132 253 182 481 176 483 181 477 149 322
An experiment sought to discover if a course on nutrition would influence the Body Mass Index (BMI) of the students enrolled. Measures of body fat percentages were taken before the yearlong course and then again at the end of the course for each of the 10 students. The data are as follows: Student: 1 2 3 4 5 6 7 8 9 10 Before: 16.85 18.62 35.79 22.66 18.74 22.25 19.95 14.61 27.49 20.00 End: 16.42 18.53 36.01 22.53 18.59 22.03 19.25 14.06 26.11 19.42 Test the hypothesis at the 0.05 level of significance that the mean body fat percentages of the students decreased by the end of the course.
A survey collects demographic, socioeconomic, dietary, and health-related information on an annual basis. Here is a sample of 20 observations on HDL cholesterol level (mg/dl) obtained from the survey (HDL is "good" cholesterol; the higher its value, the lower the risk for heart disease). 36 46 38 48 51 53 66 50 50 85 37 45 32 38 44 62 94 34 29 47 (a) Calculate a point estimate (in mg/dl) of the population mean HDL cholesterol level. 49.5 mg/dl (b) Making no assumptions about the shape of the population distribution, calculate a point estimate (in mg/dl) of the value that separates the largest 50% of HDL levels from the smallest 50%. 44 X mg/dl (c) Calculate a point estimate (in mg/dl) of the population standard deviation. (Round your answer to three decimal places.) 18.46 X mg/dl (d) An HDL level of at least 60 is considered desirable as it corresponds to a significantly lower risk of heart disease. Making no assumptions about the shape of the population distribution, estimate the…
A company's price/earnings (P/E) ratio is the company's current stock price divided by the latest 12 months' earnings per share. Suppose the following table shows the P/E ratios for a sample of 10 Japanese companies and 12 U.S. companies. Japan P/E Ratio 152 28 19 127 38 212 65 664 32 69 United States P/E Ratio 16 25 25 42 23 Find the value of the test statistic. W = 15.16 X 15 28 15 28 39 17 15 Is the difference between the P/E ratios for the two countries significant? Use the MWW test and α = 0.01 to support your conclusion. State the null and alternative hypotheses. Ho: The two populations of P/E ratios are identical. H₂: The two populations of P/E ratios are not identical. O Ho: Median for Japanese companies - Median for U.S. companies 20 H₂: Median for Japanese companies - Median for U.S. companies 0 O Ho: Median for Japanese companies - Median for U.S. companies > 0 H₂: Median for Japanese companies - Median for U.S. companies = 0 O Ho: The two populations of P/E ratios are not…
A company's price/earnings (P/E) ratio is the company's current stock price divided by the latest 12 months' earnings per share. Suppose the following table shows the P/E ratios for a sample of 10 Japanese companies and 12 U.S. companies. Japan P/E Ratio 152 28 19 127 38 212 65 664 32 69 United States P/E Ratio 16 25 25 42 23 15 Find the value of the test statistic. W = 16 X 28 15 28 39 17 15 Is the difference between the P/E ratios for the two countries significant? Use the MWW test and a = 0.01 to support your conclusion. State the null and alternative hypotheses. O Ho: The two populations of P/E ratios are identical. H₂: The two populations of P/E ratios are not identical. O Ho: Median for Japanese companies - Median for U.S. companies > 0 H₂: Median for Japanese companies - Median for U.S. companies 0 O Ho: Median for Japanese companies - Median for U.S. companies > 0 H₂: Median for Japanese companies - Median for U.S. companies = 0 O Ho: The two populations of P/E ratios are not…
Data consistent with summary quantities in the article "Effects of Fast-Food Consumption on Energy Intake and Diet Quality Among Children" on total calorie consumption on a particular day are given for a sample of children who did not eat fast food on that day and for a sample of children who did eat fast food on that day. Assume that it is reasonable to regard these samples as representative of the population of children in the United States. No Fast Food 2342 1929 1020 1741 1480 2064 2154 1992 1863 1788 1776 1838 1659 1517 2680 Fast Food 2522 1757 933 2327 2433 2266 2525 1194 889 1510 874 2206 1810 1249 2116 (a) Use the given information to estimate the mean calorie intake for children in the United States on a day when no fast food is consumed. (Give the answer to one decimal place.) 1856.2 (b) Use the given information to estimate the mean calorie intake for children in the United States on a day when fast food is consumed. (Give the answer to one decimal place.) 1774.1 (c) Use the…

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