An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimatethe mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 3 IQ points of the true mean. Assume thata = 10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.The required sample size is. (Round up to the nearest integer.)Would it be reasonable to sample this number of students?Yes. This number of IQ test scores is a fairly small number.No. This number of IQ test scores is a fairly small number.Yes. This number of IQ test scores is a fairly large number.No. This number of IQ test scores is a fairly large number.GI

Given Standard deviation=10 Margin of error=3 95% confidence level

Answered: An IQ test is designed so that the mean…

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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Suppose that you want to perform a hypothesis test for a population mean. Assume that the population standard deviation is unknown and that the sample size is relatively small. In each exercise, we have given the distribution shape of the variable under consideration. Decide whether you would use the t-test, the Wilcoxon signed-rank test, or neither. Explain your answers. Symmetric bimodal
An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). μ n x S No candy H1 34 18.95 1.55 Two candies H₂ 34 21.77 2.52 What are the null and alternative hypotheses? OA. Ho: H1 H2 H₁: H1 H2 C. Ho: H "H₂ H₁₁
Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) to (c) below. Reduction in Pain Level After Magnet Treatment (u): n=22, x=0.58, s=0.89 Reduction in Pain Level After Sham Treatment (H2): n=22, x=0.51, s = 1.29 OA. Ho: H₁₂ H₁₁₂ H₁₁
An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₁: H₁ C a. Use a 0.05 significance level to test the claim that giving candy does result in greater tips. What are the null and alternative hypotheses? H₂ H₂ No candy Two candies B. Ho: M₁ = H₂ H₁: H₁ H₂ D. Ho: H₁ μ H₁ H₂ H₂ H₁: M₁
Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) to (c) below. Reduction in Pain Level After Magnet Treatment (μ₁): n = 15, x=0.45, s=1.02 Reduction in Pain Level After Sham Treatment (2): n = 15, x=0.38, s=1.55 a. Use a 0.01 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? OA. Ho H1 H2 oc Hoi HH2 H₁: H1 H2 B. Ho: H1 H2 H₁₁₂ OD. Ho H1 H2 The test statistic, t, is (Round to two decimal places as needed.)
Find: Test statistic P-value Conclusion
What sample size is needed to give a margin of error within +1 in estimating a population mean with 99% confidence, assuming a previous sample had s = 2.9. Round your answer up to the nearest integer. sample size=
Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =
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Suppose that you want to perform a hypothesis test for a population mean. Assume that the population standard deviation is unknown and that the sample size is relatively small. In each part, the distribution shape of the variable under consideration is given. Decide whether you would use the t-test, the Wilcoxon signed-rank test, or neither. a. Triangular b. Symmetric bimodal c. Left skewed

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