The Personnel Manager of a large corporation believes that regular physical exercise leadsto a lower resting pulse rate (and so healthier staff). Data was collected on resting pulserate and whether or not people exercised regularly for a random sample of 22 employeesof the corporation. The results are given below.Exercise regularly Do not exercise regularly72627260637564605264806864846672628476607884(a) Formulate appropriate hypotheses to test if the average resting pulse rate is lowerin employees who regularly exercise compared with those who do not.(b) Perform a parametric test of the above hypotheses and draw conclusions based onthe P-value of the test.(c) Perform a non-parametric test to analyze the same data.(d) State all underlying assumptions for the tests in parts (b) and (e) and comment onthe similarities/differences in the outcomes of the tests.

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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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Studies indicate that excessive noise at night can affect weight gain. One study of n = 127 rats compared the weight gain of rats exposed to excessive noise at night and the weight gain of rats in a quiet night environment. Sample statistics for the study are given in the table below. Use this information to determine if there is significant evidence that weight gain of rats exposed to excessive noise at night is different on average than weight gain of rats in a quiet night environment. Excessive noise at night environment (Group 1) Quiet night environment (Group 2) Sample mean (grams) 22.4 19.9 Sample standard deviation (grams) 6.4 3.8 Observations/Sample size 69 58 The 95% confidence interval for the difference (Group 1 – Group 2) in weight gain of rats exposed to excessive noise at night and rats in quiet night environment is (0.7g, 4.3g). Interpret this confidence interval in one or two sentences.
Swearing is a common, almost reflexive, response to pain. Whether you knock your shin into the edge of a coffee table or smash your thumb with a hammer, most of us respond with a streak of obscenities. One question, however, is whether swearing has any effect on the amount of pain that you feel. To address this issue, Stephens, Atkins, and Kingston (2009) conducted an experiment comparing swearing with other responses to pain. In the study, participants were asked to place one hand in icy cold water for as long as they could bear the pain. Half of the participants were told to repeat their favorite swear word over and over for as long as their hands were in the water. The other half repeated a neutral word. The researchers recorded how long each participant was able to tolerate the ice water. After a brief rest, the two groups switched words and repeated the ice water plunge. Thus, all the participants experienced both conditions (swearing and neutral) with half swearing on their first…
A scientist is studying the effect of a new type of exercise program on cardiovascular health. The scientist randomly assigns individuals to either the exercise program or a control group. The scientist wants to determine if the exercise program has a statistically significant effect on cardiovascular health. The scientist monitors cardiovascular health by measuring the blood pressure of each individual.
Studies indicate that excessive noise at night can affect weight gain. One study of n = 127 rats compared the weight gain of rats exposed to excessive noise at night and the weight gain of rats in a quiet night environment. Sample statistics for the study are given in the table below. Use this information to determine if there is significant evidence that weight gain of rats exposed to excessive noise at night is different on average than weight gain of rats in a quiet night environment. Excessive noise at night environment (Group 1) Quiet night environment (Group 2) Sample mean (grams) 22.4 19.9 Sample standard deviation (grams) 6.4 3.8 Observations/Sample size 69 58 The p-value for this test is 0.0086. Make a decision and conclusion for the hypothesis test in context. Use a 5% significance level (α = 0.05).
Mr. Acosta, a sodiologist, is doing a study to see ifr 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 18-23 yr 24-29 yr Drama 15 34 Science Fiction 14 10 6 30 6. Movie 30-35 vr Row Total Comedy 10 | Column Total 9 10 29 31 93 32 30 A USE SALT new window for the SALT program (a) What is the level of arymLaner State the null and alternate hypotheses. OH: Age and movie preference are not independent H,: Age and movie preference are not independent. O H: Age and movie preference are independent. H,: Age and movie preference are independent. OH: Age and movie preference are not independent. H,: Age and movie preference are independent. O H: Age and movie preference are independent. H.: Age and movie preference are not independent. (b) Find the value of the chi-square statistic…
A national internet service provider (ISP) claims that its broadband internet download speed is 200 megabits per second (Mbps) on average. To the contrary, there have recently been widespread reports that consumers are experiencing much slower download speeds from this ISP. A organization ogranization decided to investigate the issue. They took a random sample of 18 internet speeds from around the nation. The observations are given below. 169 168 176 179 175 178 169 182 185 213 213 198 167 169 220 162 174 192 Using a = 0.01, test the hypothesis that the average download speed is 200 Mbps, as advertised by the ISP. Assume that the distribution of all broadband internet download speed measurements from this ISP is approximately normally distributed. Use the critical value method. State the null and alternative hypothesis for this test. Ho:? V H₁: ? Determine if this test is left-tailed, right-tailed, or two-tailed. O left-tailed Otwo-tailed Oright-tailed Should the standard normal (2)…
Studies indicate that excessive noise at night can affect weight gain. One study of n = 127 rats compared the weight gain of rats exposed to excessive noise at night and the weight gain of rats in a quiet night environment. Sample statistics for the study are given in the table below. Use this information to determine if there is significant evidence that weight gain of rats exposed to excessive noise at night is different on average than weight gain of rats in a quiet night environment. Excessive noise at night environment (Group 1) Quiet night environment (Group 2) Sample mean (grams) 22.4 19.9 Sample standard deviation (grams) 6.4 3.8 Observations/Sample size 69 58 Is this a one-tailed or a two-tailed test? Explain in one or two sentences.
A food-frequency questionnaire is used to measure dietary intake. The respondent specifies the number of servings of various food items they consumed over the previous week. The dietary cholesterol is then quantified for each respondent. The researchers were interested in assessing if there was an association between dietary cholesterol intake and high blood pressure. In a large sample of individuals who had completed the questionnaire, 250 persons with a high dietary cholesterol intake (greater than 300 mg /day) were selected and 250 persons with a low dietary cholesterol intake (less than 300 mg/day) were selected. The 500 selected participants had their medical history taken and were classified as having normal or high blood pressure. The data are given here. Dietary Cholesterol Blood Pressure Total High Low High 159 91 250 Low 78 172 250 Total 237 263 500 Test 2: two-tailed test for comparing two independent proportions Clearly state…
Julius has conducted a very small study of the amount of sleep his dorm mates get each night. He believes that those who are on one of the school’s sports teams will get more sleep (measured in hours per night) than those who are not. Julius surveyed 12 people. Of these, 6 played on a sports team and 6 did not. The descriptive statistics from his survey are given below. PLAYS SPORTS (Sample 1) DOES NOT PLAY SPORTS (Sample 2) 8 6 9 6 8 5 7 7 8 7 7 6 What is the critical value for this test? what is the t-obtain value for this t-test? Based on your t-obtained value, what should you conclude about the null hypothesis for this test?
A professor was interested in how exam performance related to study time. Just before an exam began the professor asked students in his class to write down how many hours they had studied for the exam in the past two weeks. He then compared their exam scores to the reported study time. What type of study did the professor carry out? ex post facto correlational case experimental

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