A psychologist is studying the self image of smokers, which she measures by the self-image (SI) score from a personality inventory. She would like to estimatethe mean SI score, u, for the population of all smokers. She plans to take a random sample of SI scores for smokers and estimate u via this sample. Assumingthat the standard deviation of SI scores for the population of all smokers is 80, what is the minimum sample size needed for the psychologist to be 95%confident that her estimate is within 10 of u?Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum wholenumber that satisfies the requirements).(If necessary, consult a list of formulas.)?

Determine the minimum sample size. The minimum sample size is obtained below as follows: Use…

Answered: A psychologist is studying the self…

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 chocolate chip cookies that are produced at Perry’s Cookie Emporium have weights which are approximately normally distributed with the mean weight 180 grams and with standard deviations 20 grams. The cookies, however, are sold by count, not by weight. Perry wants to improve his image, so he decides to set aside lightest 20% of the cookies to be packaged and sold separately. What cookie weight will divide the lightest 20% from the heaviest 80%?
John finds that there is a scholarship available to all persons scoring in the top 5 % on the ACT test. If the mean score on the ACT is 21 with a standard deviation of 4.7, what score does he need in order to qualify for the scholarship?
Women are recommended to consume 1730 calories per day. You suspect that the average calorie intake is different for women at your college. The data for the 16 women who participated in the study is shown below: 1764, 1612, 1772, 1405, 1685, 1634, 1823, 1770, 1691, 1762, 1485, 1883, 1834, 1578, 1733, 1885 Assuming that the distribution is normal, what can be concluded at the a = 0.10 level of significance? a. For this study, we should use E-test for a population mean b. The null and alternative hypotheses would be: Ho: ?v|| Select an answer v H.: ?vSelect an answer v c. The test statistic ? (please show your answer to 4 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is f. Based on this, we should fail to reject g. Thus, the final conclusion is that. O The data suggest that the population mean calorie intake for women at your college is not significantly different from 1730 at a = 0.10, so there is not enough evidence to conclude that the…
The table available below shows the weights (in pounds) for a sample of vacuum cleaners. The weights are classified according to vacuum cleaner type. At a = 0.10, can you conclude that at least one mean vacuum cleaner weight is different from the others? Click the icon to view the vacuum cleaner weight data. Let μBU, BLU, and μTC represent the mean weights for bagged upright, bagless upright, and top canister vacuums respectively. What are the hypotheses for this test? A. Ho: At least one of the means is different. Ha: MBUHBLUPTC B. Ho: "BU HBLU HTC # Ha: MBUHBLUPTC C. Ho: MBUHBLU = HTC Ha: At least one of the means is different. D. Ho: MBU - HBLU = μTC Ha: HBU #BLU HTC What is the test statistic? F = 12.56 (Round to two decimal places as needed.) What is the P-value? P-value = 0.000624 (Round to three decimal places as needed.)
The board of examiners that administers the real estate broker’s examination in a certain state found that the mean score on the test was 450 and the standard deviation was 50. If the board wants to set the passing scores so that only the top 5% of all applicants pass, what should the passing score be? Assume that the scores are normally distributed.
In the class of 2019, more than 1.6 million students took the SAT. The distribution of scores on the math section (out of 800) is approximately normal with a mean of 528 and standard deviation of 117. What proportion of students earned scores between 500 and 600 on the SAT math test?
For a data set of the pulse rates for a sample of adultfemales, the lowest pulse rate is 33 beats per minute, the mean of the listed pulse rates is x=71.0 beats per minute, and their standard deviation is s=23.1 beats per minute. a. What is the difference between the pulse rate of 33 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 33 beats per minute to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 33 beats per minute significant?
The table available below shows the weights (in pounds) for a sample of vacuum cleaners. The weights are classified according to vacuum cleaner type. At a = 0.10, can you conclude that at least one mean vacuum cleaner weight is different from the others? E Click the icon to view the vacuum cleaner weight data. Let PBu, PBLU. and HTC represent the mean weights for bagged upright, bagless upright, and top canister vacuums respectively. What are the hypotheses for this test? O A. Ho: Peu = HBLU "HTC Ha: HBu * HBLU HTC Weight of Vacuum Cleaners by Type B. Ho: At least one of the means is different. Hg: PBu = HBLU =HTC O C. Ho: HBU PBLU HTC Bagged upright 21 20 18 15 23 24 16 24 Bagless upright Top canister 17 18 20 18 Hg: HBu = HBLU =HTC 23 22 24 26 20 23 O D. Ho: HBU HBLU FHTC Ha: At least one of the means is different. What is the test statistic? Print Done F= (Round to two decimal places as needed.) What is the P-value? P-value = (Round to three decimal places as needed.) What is the…

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