A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you're interested in the mean score, u, on this subsection among the general population. You decide that you'll use the mean of a random sample of scores on this subsection to estimate u. What is the minimum sample size needed in order for you to be 90% confident that your estimate is within 3 of µ? Use the value 20 for the population standard deviation of scores on this subsection. 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 whole number that satisfies the requirements). (If necessary, consult a list of formulas.)

A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you're interested in the mean score, u, on this subsection among the general population. You decide that you'll use the mean of a random sample of scores on this subsection to estimate u. What is the minimum sample size needed in order for you to be 90% confident that your estimate is within 3 of µ? Use the value 20 for the population standard deviation of scores on this subsection. 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 whole number that satisfies the requirements). (If necessary, consult a list of formulas.)

Name: A personality test has a subsection designed to assess the "honesty"
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you're interested in the mean score, u, onthis subsection among the general population. You decide that you'll use the mean of a random sample of sc

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Find the sample size required to estimate the percentage of statistics students who take their statistics course online. Assume that we want 95% confidence that proportion from the sample is within two percentage points of the true population percentage.
To investigate whether one-pound bags of potato chips actually contain a full pound of chips, a skeptical statistics student goes to the supermarket and weighs every bag on the shelf. To analyze these data, what statistical test should i use?
The sample data here is the cholesterol levels for 10 men diagnosed with high cholesterol. The first row represents levels from 10 men who did not use the drug and the second row from 10 different men who did use the drug. If we want to test the claim that the mean level for all men who use the drug is less than the mean for all men who do not use it, what is the appropriate alternative hypothesis? The mean cholesterol level of males who take the medicine is higher than the mean cholesterol levels of men who do not take it. There is a significant difference between males who use the medicine and men who do not use the drug in terms of mean cholesterol levels. The mean cholesterol level of males who take the medicine is lower than the mean cholesterol levels of men who do not take it. There is no significant difference between males who use the medicine and men who do not use the drug in terms of mean cholesterol levels.
The mean GPA for 102 residents of the local apartment complex is 1.8 What is the best point estimate for the mean GPA for all residents of the local apartment complex?
For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.How hard is it to reach a businessperson by phone? Let p be the proportion of calls to businesspeople for which the caller reaches the person being called on the first try. (a) If you have no preliminary estimate for p, how many business phone calls should you include in a random sample to be 80% sure that the point estimate p̂ will be within a distance of 0.06 from p? (Round your answer up to the nearest whole number.)phone calls(b) A report states that businesspeople can be reached by a single phone call approximately 18% of the time. Using this (national) estimate for p, answer part (a). (Round your answer up to the nearest whole number.)phone calls
Identifying individuals with a high risk of Alzheimer's disease usually involves a long series of cognitive tests. However, researchers have developed a 7-Minute Screen, which is a quick and easy way to accomplish the same goal. The question is whether the 7-Minute Screen is as effective as the complete series of tests. To address this question, Ijuin et al. (2008) administered both tests to a group of patients and compared the results. The following data represent results similar to those obtained in the study. 7-Minute Screen Cognitive Series 3 11 8 19 10 22 8 20 4 14 7 13 4 9 5 20 14 25 Which statistical test would you select: Answer H0: Answer H1: Answer What is the coefficient that indicates the strength of the relationship? Answer =Answer What is the standard error? Answer What is the appropriate 95% CI? [ Answer , Answer ] What is the d-effect size? Answer What is the t-observed? Answer What is the actual p-value? Answer THREE decimal places…
Please also explain why you determined whether or not the results are statistically significant. In another memory experiment, the mean scores for participants in Condition A and Condition B came out exactly the same!
A researcher hypothesizes that different colors of cars result in different average speeds. To test this claim, she took a random sample of 20 people who own 4 different colors of colors of cars (n = 20, N = 80, G = 4), and she then tracks their average speed on the highway for a week of driving. The following ANOVA table has some of her results. Please help her answer her research questions by completing the following ANOVA table below and answering the follow-up questions. Be sure to label your answers with the appropriate letter and show all your work! Source Sums of Squares df Mean Square F Effect (between) Error (within) 100.90 ------ Total 170.10 ------- ------ a) What is the Sums of Squares (SS) between (effect)? b) What are the Mean Square (MS) between (effect) and the MS within (error)? c) What are the degrees of freedom (df) between, the df within, and the df total? d) What is the overall F-statistic? e) Based on the…
The claim is that the proportion of peas with yellow pods is equal to 0.25 (or 25%). The sample statistics from one experiment include 450 peas with 117 of them having yellow pods. Find the value of the test statistic.
On average, a sample of n = 36 scores will provide a better estimate of the population mean than a sample of n = 49 scores from the same population.
One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You are interested in the mean score, μ , among the general population on this subsection. The website reports that μ is 145, but you have good reason to believe that μ is less than 145. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 139 and that the standard deviation of their scores is 28. Based on this information, complete the parts below. (a) What are the null hypothesis H0 and the alternative hypothesis H1that should be used for the test? H0: H1: (b) Suppose that you decide to reject the null hypothesis. What sort of error might you be making? ▼(Choose one) (c) Suppose the true mean score among the general population on the subsection is 136. Fill in the blanks to describe a Type II error. A Type II error…
One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You are interested in the mean score, μ , among the general population on this subsection. The website reports that μ is 145 , but you have good reason to believe that μ is less than 145 . You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 140 and that the standard deviation of their scores is 22 . Based on this information, complete the parts below. (a) What are the null hypothesis H0 and the alternative hypothesis H1 that should be used for the test? H0: H1: (b) Suppose that you decide not to reject the null hypothesis. What sort of error might you be making? ▼(Choose one) (c) Suppose the true mean score among the general population on the subsection is 137 . Fill in the blanks to describe…