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Correcting for a Finite Population In a study of babies born with very low birth weights, 275 children were given IQ tests at age 8. and their scores approximated a
a. When considering the distribution of the
b. Find the probability that the mean IQ score of the follow-up sample is between 95 and 105.
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Chapter 6 Solutions
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- Caffeinated Beverages and Diabetes. The objective of the article, “Caffeinated and Caffeine-free Beverages and Risk of Type 2 Diabetes” (American Journal of Clinical Nutrition, Vol. 97, No. 1, pp. 155–166) by S. Bhupathiraju et al., was to examine the association between caffeinated beverages and type 2 diabetes risk. The mean and standard deviation of the body mass index (BMI) for a sample of 10,215 women who drink at least one caffeinated carbonated beverage a day are 25.7 and 5.3, respectively. a. At least how many women in the sample have a BMI of between 15.1 and 36.3? b. Fill in the blanks: At least 89% of the women in the sample have BMIs between ____and ______arrow_forwardAn Exercise Science instructor at IVC was interested in comparing the resting pulse rates of students who exercise regularly and the pulse rates of those who do not exercise regularly. Independent simple random samples of 16 students who do not exercise regularly and 12 students who exercise regularly were selected, and the resting pulse rates (in beats per minute) were recorded. The summary statistics are presented in the table below. Is there compelling statistical evidence that the mean resting pulse rate of people who do not exercise regularly is greater than the mean resting pulse rate of people who exercise regularly? Use a significance value of 0.05. Two-Sample T-Test Sample Standard Deviation Mean Do Not Exercise 16 80 Regularly Exercise Regularly 12 64 10 Null Hypothesis, HO Alternative Hypothesis, H1 Test Statistic, t P-value Significance level Conclusionarrow_forwardAn Exercise Science instructor at IVC was interested in comparing the resting pulse rates of students who exercise regularly and the pulse rates of those who do not exercise regularly. Independent simple random samples of 16 students who do not exercise regularly and 12 students who exercise regularly were selected, and the resting pulse rates (in beats per minute) were recorded. The summary statistics are presented in the table below. Is there compelling statistical evidence that the mean resting pulse rate of people who do not exercise regularly is greater than the mean resting pulse rate of people who exercise regularly? Use a significance value of 0.05. Two-Sample T-Test Sample N Mean Standard Deviation Do Not Exercise Regularly 16 75 9 Exercise Regularly 12 69 11 Only missing the conclusion Null Hypothesis, H=. h1=h2 Alternative Hypothesis, H1. =h1>h2 Test Statistic, t= 1.54 P-value= 0.0691 Significance level= 0.05 Conclusion= (A)=there is…arrow_forward
- An Exercise Science instructor at IVC was interested in comparing the resting pulse rates of students who exercise regularly and the pulse rates of those who do not exercise regularly. Independent simple random samples of 16 students who do not exercise regularly and 12 students who exercise regularly were selected, and the resting pulse rates (in beats per minute) were recorded. The summary statistics are presented in the table below. Is there compelling statistical evidence that the mean resting pulse rate of people who do not exercise regularly is greater than the mean resting pulse rate of people who exercise regularly? Use a significance value of 0.05. Two-Sample T-Test Sample N Mean Standard Deviation Do Not Exercise Regularly 16 75 9 Exercise Regularly 12 69 11 Null Hypothesis, H0 Alternative Hypothesis, H1 Test Statistic, t P-value Significance level Conclusionarrow_forwardThe mean and standard deviation of hemoglobin level of 23 vibrant students and 21 school children were found to be 10g/dl,2.2g/dl and 14g/dl, 2.2g/dl respectively.is there statistically significant difference with the average hemoglobin of the two groups?arrow_forwardThe table below is from a study called “The Epidemiology of Social Stress.” The researchers in this study conduct a series of statistical tests to shed light on the association between social status variables (IVs) and depression (DVs). The left-hand column shows the tests for mean depressive symptom scores (Number of symptoms reported [range:0-50], higher levels indicate higher number of reported depressive symptoms) by sex, age, marital status, and occupational prestige. The right-hand column shows the tests for prevalence of major depressive disorder (has major depression=1; does not have major depression=0), broken down by sex, age, marital status, and occupational prestige. Examine the table and answer questions a)At alpha=.05, what can you conclude about the association between marital status and mean depressive symptom scores? Briefly summarize the findings, and provide a plausible, logical explanation (theory) for the observed association (or lack thereof). b)At alpha =.001,…arrow_forward
- "Dr. Broadus found a significant effect of alcohol consuption on dance partner attractiveness ratings using a dependent sample t-test. If he observed a mean difference of 6.74 with a sample variance value of 11.5 after alcohol consuption, what would be the effecti size in terms of Cohen's d?" d = 1.99 d = 0.59 d = -1.99 d = 0.81arrow_forwardA study used x-ray computed tomography (CT) to collect data on brain volumes for a group of patients with obsessive-compulsive disorders and a control group of healthy persons. Sample results (in mL) are given below for total brain volumes. Use a 0.05 significance level to test the claim that there is no difference between the mean for obsessive-compulsive patients and the mean for healthy persons. Obsessive-compulsive patients: n = 10, x overbar equals 1390.03 , s = 156.84 Control group: n = 10, x overbar equals 1275.94 , s = 137.97 a. Define the parameters A. mu 1 equals The mean brain volume of all obsessive-compulsive people mu 2 equals The mean brain volume of all healthy persons B. mu 1 equals The mean test score of all obsessive-compulsive people mu 2 equals The mean test score of all healthy persons C. mu 1 equals The mean brain volume of 10 obsessive-compulsive…arrow_forwardA researcher was interested in comparing the resting pulse of people who exercise regularly and people wo do not exercise regularly. Independent simple random samples of 16 people ages 30-40 who do no exercise regularly and 12 people ages 30-40 who exercise regularly were selected, and the resting pulse rate of each person was measured. The summary statistics are as follows. Do not exercise Do exercise X1= 73.9 X2= 69.1 S1= 10.9 S2= 10.9 N1= 16 N2=12 1. Verify the conditions needed to proceed with hypothesis testing or Confidence intervals. 2. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean resting pulse rate of people who do not exercise regularly is greater than the mean resting pulse rate of people who exercise regularly? State your null, alternate hypothesis, calculate the test statistic, determine your decision and interpret your decision. 3. Find the 95% confidence interval around the difference between the sample…arrow_forward
- the mean and standard deviation of hemoglobin level of 23 vagrant students and 21 school children were found to be 10 g/dl, 2.2g/dl and 14g/dl, 2.9g/dl respectively. Is there statistically significant difference with the average hemoglobin of the two groups?arrow_forwardSunscreens are products that protect the skin from skin cancer by preventing the sun's ultraviolet (UV) radiation from penetrating the skin. According to dermatologists, the recommended amount of sunscreen needed to cover the exposed areas of the body is at least an ounce. In a study conducted specifically for a group of women aged 21 to 30 years, it was found the amount of sunscreen (X) applied by the group follows the normal distribution with mean of 0.6 ounce and standard deviation of 0.25 ounce. About ___% of the women aged 21 to 30 years is applying 0.1 to 1.1 ounce ofarrow_forwardSunscreens are products that protect the skin from skin cancer by preventing the sun's ultraviolet (UV) radiation from penetrating the skin. According to dermatologists, the recommended amount of sunscreen needed to cover the exposed areas of the body is at least an ounce. In a study conducted specifically for a group of women aged 21 to 30 years, it was found the amount of sunscreen (X) applied by the group follows the normal distribution with mean of 0.6 ounce and standard deviation of 0.25 ounce. The probability that the amount of sunscreen applied by women aged 21 to 30 years is no less than 0.75 ounce is ____.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill