8. Hypothesis Test of Equal Variances. Test the given claim. Use a significance level of a = 0.05and assume that all populations are normally distributed.Claim: IQ scores of statistics students vary less than IQ scores of other students.Statistics students: n = 28, x = 118, s = 10.0Other students:n = 25, x = 112, s = 12.0

That is, there is no evidence to conclude that the population mean 1 is less than population mean 2.…

Answered: 8. Hypothesis Test of Equal Variances.…

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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Using the following data: # of students who passed statistics class # of students who failed statistics class Average score on the final exam in statistics class Estimated variance of final exam scores men 78 22 70 10 women 91 9 85 5 Construct a 95% confidence interval estimate of the proportion of men who passed statistics class.
A survey was conducted to compare the mean cost of a meal at fast food restaurants in two different cities. City Sample mean 26 $4.05 $0.55 $0.85 32 $5.15 Assume that the population variances of both groups are the same. Calculate the test statistic to test whether there is sufficient evidence that the mean costs of a meal at fast food restaurants in two different cities are different.
Not graded. One question. Answer all parts.
Mean 1001 206 Levene's Test for Equality of Variances Sig. 15.578 <.001 .510 1.402 df Sig. (2-tailed) 1205 .014 261.832 035 -3.168 -3.168 Std. Error Difference 3. Do Whites spend a significantly different amount of time on the internet (WWWHR) than Blacks? Group Statistics Std. Error Race of respondent N Std. Deviation Mean Www.hours per week WHITE 13.29) (16.124) BLACK 16.46 20.120 Independent Samples Test t-test for Equality of Means Mean t Difference Www hours per week -2.455 Equal variances assumed -2.124 Equal variances not assumed 1.291 1.492 95% Confidence Interval of the Difference Lower Upper -5.701 -6.106 -.636 -.231
Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 69 69 63.9 68.4 62.7 73.5 73.5 64.3 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: HA: Ομ 65 B. State the mean of the sample: C. State the standard error of the sample means: D. State the test statistic: t = E. State the p-value: F. Decision: O Fail to reject the null hypothesis. Reject the null hypothesis. 73.5 96
Is there a difference between the ages of Actors and Actresses? The table shows the ages of Actors and Actress when they received their first Oscar. Assume that the two samples are randomly selected. At the 0.1 significance level, test the claim that there is a mean difference in the ages of Actors and Actresses. (Be sure to subtract in the same direction). Actor (years) Actress (years) Difference (years) 60 60 52 56 61 61 62 58 36 36 49 51 45 50 What are the correct hypotheses? (Select the correct symbols and values.) Họ: Select an answer ? v Select an answer H1: Select an answer v ? v Select an answer Original Claim = Select an answer df = 15
Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 74.4 96 83.2 65 63.9 64.3 74.4 69 68.4 88 Test grades are believed to be normally distributed.Use a significance level of 5%. State the alternative hypothesis: HA:HA: μ>65μ>65 μ<65μ<65 μ≠65μ≠65 State the mean of the sample: (Round to two decimal places.) State the standard error of the sample means: (Round to four decimal places.) State the test statistic: t=t= (Round to four decimal places.) State the p-value: (Round to four decimal places.) Decision: Reject the null hypothesis. Do not reject the null hypothesis.
What is the equation for the median median line?
Incorrect An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 6.6 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 120 engines and the mean pressure was 6.8 pounds/square inch. Assume the variance is known to be 1.00. A level of significance of 0.05 will be used. Determine the decision rule. Enter the decision rule. Answer E Tables E Keypad How to enter your answer Keyboard Shortcuts Reject Ho if z> Tutor Skip Try Similar Submit Ansgr O 2020 Hawkes Learning MacBook Air 888 esc F1 #3 %23 & + 1 5 8 delete Q W R T Y U tab A S D G H K return caps lock C V B N M shift shift control option command command option
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You work for a soft-drink company in the quality control division. You are interested in the variance of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the variance to be as low as possible. You gather a random sample of 16 containers. Estimate the population variance at a 80% level of confidence. 11.82 11.83 11.85 11.89 11.9 11.97 12 12 12 12.01 12.02 12.04 12.05 12.11 12.16 12.18 Variance of Data: 0.012 Note: Round all values to 3 decimals and use those rounded values in subsequent calculations. a) Find the lower and upper x critical values at 80% confidence: Lower: Upper: b) Report your confidence interval for o?: Lower Bound: Upper Bound:
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