A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you're interested in the mean score, µ, on this subsectionamong 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 samplesize needed in order for you to be 99% confident that your estimate is within 4 of µ? Use the value 21 for the population standard deviation of scores on thissubsection.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.)?

Here, margin of error is 4 and standard deviation is 21. We will find sample to help of margin of…

Answered: A personality test has a subsection…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a study about children's pocket money, two samples of schoolchildren were asked how much money they received each week. In one sample, of size 87, the mean is £7.78. In the other sample, of size 65, the mean is £11.77. Calculate the mean based on the combined sample. Give your answer correct to two decimal places. (Do NOT include the '£' sign in your answer.) Answer:
credit score is used by credit agencies to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 712.8. A credit analyst wondered whether high income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 24 high-income individuals and found the sample mean credit score to be 735.6 with a standard deviation of 74.5. Conduct the appropriate test to determine if high income individuals have higher credit
Twelve percent of the world's population is left-handed. A researcher claims that left-handed individuals are more creative than those who aren't left- handed. In order to support his claim, he takes a sample of 1650 artists and finds that 14% of them are left-handed. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of left-handed individuals in a random sample of 1650. (b) Find the standard deviation of p. (c) Compute an approximation for P(p<0.14), which is the probability that there will be 14% or fewer left-handed people in a random sample of 1650. Round your answer to four decimal places.
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Mr. Jackson is looking at test scores for his Algebra 2 class. The scores on the Unit 2 Test follow a normal distribution, with a mean of 89 and a standard deviation of 3. What percent of learners scored 86 or better?
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. Answer: Sample size n =
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 33 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 310 29 36 34 24 39 23 30 28 37 26 30 26 30 30 37 25 35
A sample is selected from a normal population with a mean of µ = 40. If the sample mean is M = 45, which of the following combinations would make the sample mean a typical, representative value for the population? Group of answer choices
You are conducting a study to estimate the mean height of students in a university. The university has 10,000 students. If you want to achieve a margin of error of no more than 2 inches with 95% confidence, what sample size should you select?
The mean score for Scrabble players at the neighborhood center is m = 215 points. The players read a book that claims it can raise scores significantly. After reading the book, a team of 25 players obtains a score of M = 218 points, with s= 25. Do the data indicate that reading the book leads to increases in the players’ scores? Test with a = .05 Calculate and evaluate Cohen’s d and r2. What decision can you make and what does it indicate? What type of error could you be making and what would that mean? Report your results with an APA-style phrase.
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 25 29 30 35 39 28 24 320 28 27 36 35 26 24 28 25 25 (a) Write the claim mathematically and identify Ho and Ha- Which of the following correctly states Ho and Ha? Ο Α. Hρ: μ2 31 О В. Но: и 31 O D. Ho: µ> 31 O E. Ho: H= 31 Hạ: u# 31 OF. Ho: µ= 31 H3: us31 Hại u< 31

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