You wish to test the following claim (H1) at a significance level of a = 0.01. For the context of thisproblem, µa = µ2 – Hi where the first data set represents a pre-test and the second data set representsa post-test.0 = Prl : °H0 < Prl : 'HYou believe the population of difference scores is normally distributed, but you do not know the standarddeviation. You obtain pre-test and post-test samples for n = 19 subjects. The average difference (post -pre) is d = 19.3 with a standard deviation of the differences of sa = 42.1.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =What is the p-value for this sample? (Note: If you do not have a Ti-83/84, then please use the Google Sheetfunction =TDIST(abs(Test Stat),degrees of freedom, tails), where tails is equal to 1 or 2 depending on thetest, to report the answer accurate to four decimal places. Use the rounded test statistic value.)p-value =The p-value is...O less than (or equal to) aO greater thanThis test statistic leads to a decision to...O reject the nullO accept the nullO fail to reject the nullMacBook Air80DIIDDF3F4F5F6F7F8F9#3$&*(3789

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Answered: You wish to test the following claim…

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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You wish to test the following claim (HA) at a significance level of a = 0.002. H.:µ = 76.5 Ha: µ > 76.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 16 with mean M = 95.2 and a standard deviation of SD = 18.2. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 4.1099 V What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
You wish to test the following claim (H.) at a significance level of a = 0.01. H.:µ = 75.8 Ha:µ > 75.8 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 73 mean: M = 77.2 standard deviation: SD = 8.5. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P.value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... O less than (or equal to) a O greater than a This leads to a decision to... O reject the null O accept the null O fail to reject the null So, the final conclusion is that... O The data do not support the claim of the alternative hypothesis that the population mean is greater than 75.8. O The sample data support the claim of the alternative hypothesis that the population mean is greater than 75.8.
The manufacturer claims that your new car gets 24 mpg on the highway. You suspect that the mpg is less for your car. The 44 trips on the highway that you took averaged 22.3 mpg and the standard deviation for these 44 trips was 4.2 mpg. What can be concluded at the αα = 0.05 level of significance? For this study, we should use (t-test for population mean, z-test for population proportion) The null and alternative hypotheses would be: H0: (symbol) (symbol) ____ H1: (symbol) (symbol) ____ The test statistic (?,t,z) = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is (?, less than or equal to, more than) αα Based on this, we should (accept, reject, fail to reject) the null hypothesis. Thus, the final conclusion is that ... The data suggest that the sample mean is not significantly less than 24 at αα = 0.05, so there is statistically insignificant evidence to conclude…
You wish to test the following claim (H1) at a significance level of a = 0.02. For the context of this problem, Hd = µ2 -H1 where the first data set represents a pre-test and the second data set represents a post-test. H.:µa = 0 0 > Prt : 'H You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 41 subjects. The average difference (post - pre) is d = - 2.7 with a standard deviation of the differences of sa = 14.2. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Note: If you do not have a Ti-83/84, then please use the Google Sheet function =TDIST(abs(Test Stat),degrees of freedom, tails), where tails is equal to 1 or 2 depending on the test, to report the answer accurate to four decimal places. Use the rounded test statistic value.) p-value = The p-value is... O less than (or…
You wish to test if the mean difference of post-test from pre-test is less than 0 (they did worse) at a significance level of 0.01. For the context of this problem, d = post pre You obtain pre-test and post-test samples for na = 20 subjects. The average difference (post-pre) is x = -6.9 with a standard deviation of the differences of s= 38.7. Round your answers to three decimal places, and round any interim calculations to four decimal places. Fill in the hypotheses below (click the circle to the left of the correct answer): Hou_d Ha: μ_d What is the test statistic? 0 0 Part 2 of 4
You wish to test the following claim (H.) at a significance level of a = 0.002. H.:µ = 79.2 Ha:µ > 79.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 125 with mean M = 83.5 and a standard deviation of SD = 13.4. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
You wish to test the following claim (H.) at a significance level of a = 0.001. For the context of this problem, Ha = 42 - 4i where the first data set represents a pre-test and the second data set represents a post-test. H.: Hd = 0 Ha:Ha + 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 40 subjects. The average difference (post - pre) is d = 2.8 with a standard deviation of the differences of sa = 19.9. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection…
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I wanted to do a market research study estimating the average hourly wage earned by childcare workers in the bay area. How large does my sample need to be in order to have a margin of error that is less than $0.50 with a 95% confidence in the result. Assume that the standard deviation of the wages is $2 per hour.
Using a standardized scale, the average rating of behavioral problems for kindergarten children is ?μ= 35. A sample of n = 16 kindergarten children who had spent at least 20 hours per week in child care produced a mean score of M = 42.7 with a standard deviation of s = 6. Are the data sufficient to conclude that children in child care show significantly more behavioral problems than the average kindergarten children? use ?α = .01.
You wish to test the following claim (Ha) at a significance level of a = 0.05. H.:µ = 75.3 Ha:µ > 75.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 613 with mean ã = 76.3 and a standard deviation of s = 6.7. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null |accept the null |fail to reject the null As such, the final conclusion is that... | There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 75.3. |There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 75.3. The sample data support the claim that the population mean is greater…
You wish to test the following claim (H.) at a significance level of a = 0.01. H,: µ = 70.8 Ha:p > 70.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 564 with mean M = 71.3 and a standard deviation of SD = 5.6. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... FEB W www esc F1 F2 F3 F4 F5 F6 00

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