Assume that a simple random sample has been selected from a normally distributed population and test the given claim.Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses theoriginal claim.A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests,with the measurements given in hic (standard head injury condition units). The safety requirement is that the hicmeasurement should be less than 1000 hic. Use a 0.01 significance level to test the claim that the sample is from apopulation with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specifiedrequirement?736 758 1375 715 677 521What are the hypotheses?A. Ho: = 1000 hicH₁: ≥1000 hicOC. Ho: <1000 hicH₁: μ ≥1000 hicIdentify the test statistic.t= (Round to three decimal places as needed.)in example Get more help.B. Ho: > 1000 hicH₁: μ<1000 hicD. .Ho: μ= 1000 hicH₁: μ<1000 hicClear allScreen ShotCheck answer40.08 DM20Scree3-0..Screen3-0...3Screen2022-0

x x2 736 541696 758 574564 1375 1890625 715 511225 677 458329 521 271441 ∑x=4782…

Answered: that a simple random sample has been…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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A data set includes data from 500 random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 2.6 miles. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. 1 Click the icon to view the display from technology. O A. Ho: H= 2.6 miles O B. Ho: µ= 2.6 miles H1: µ 2.6 miles H1: µ= 2.6 miles Hypothesis test results: H: Mean of variable Ho : H= 2.6 HA : H> 2.6 Variable Sample Mean Std. Err. DF Length Identify the test statistic (Round to two decimal places as needed.) T-Stat P-value Identify the P-value. 3.26237 0.227014 499 2.917750 0.0018 (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Print Done V Ho. There is evidence to support the claim that the mean tornado length is greater than 2.6 miles Click to select…
A data set includes data from 400 random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 2.8 miles. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. LOADING... Click the icon to view the display from technology. Question content area bottom Part 1 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A. H0: μ<2.8 miles H1: μ=2.8 miles B. H0: μ=2.8 miles H1: μ<2.8 miles C. H0: μ=2.8 miles H1: μ>2.8 miles Your answer is correct. D. H0: μ=2.8 miles H1: μ≠2.8 miles Part 2 Identify the test statistic.
A data set includes data from 400 random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 2.4 miles. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Variable Sample Mean Std. Err. DF T-Stat P-valueLength 2.56317 0.213438 399 0.764484 0.2225 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? => Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. (fail to reject/reject) H0. There is (sufficient/not sufficient) evidence to support the claim that the mean tornado length is greater than 2.4 miles.
Use the technology display, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic (head injury criterion) units, and they are from the same cars used for the table below. Use a 0.01 significance level to test the given claim. Test the null hypothesis that head injury measurements are not affected by an interaction between the type of car (foreign, domestic) and size of the car (small, medium, large). What do you conclude? Click the icon to view the data table and technology display. What are the null and alternative hypotheses? O A. Ho: Head injury measurements are affected by an interaction between type of car and size of the car. H₁: Head injury measurements are not affected by an interaction between type of car and size of the car. O C. Ho: Head injury measurements are not affected by type of car. H₁: Head injury measurements are affected by type of car. xample Get more help. Data table Foreign Domestic Small 294 534 509 411…
Use the technology display, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic (head injury criterion) units, and they are from the same cars used for the table below. Use a 0.01 significance level to test the given claim. Test the null hypothesis that head injury measurements are not affected by an interaction between the type of car (foreign, domestic) and size of the car (small, medium, large). What do you conclude? Click the icon to view the data table and technology display. What are the null and alternative hypotheses? O A. Ho: Head injury measurements are affected by an interaction between type of car and size of B. Ho: Head injury measurements are not affected by an interaction between type of car and size of the car. H₁: Head injury measurements are affected by an interaction between type of car and size of the car. the car. H₁: Head injury measurements are not affected by an interaction between type of car and size…
Use the technology display, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic (head injury criterion) units, and they are from the same cars used for the table below. Use a 0.10 significance level to test the given claim. Test the null hypothesis that head injury measurements are not affected by an interaction between the type of car (foreign, domestic) and size of the car (small, medium, large). What do you conclude? A. F = 1.41, p-value = 0.281 B. F = 2.25, p-value = 0.159 C. F = 1.37, p-value = 0.290 D. F = 0.44, p-value = 0.655

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