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A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of 269. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 260. Assume that the population standard deviation is 33 At a=0.12, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify H,, and H, Choose the correct answer below. OA. Ho us260 H > 260 (claim) O B. Ho =260 (claim) OC. Ho p=260 H > 260 H > 260 (claim) OD. H < 260 H u2 260 (claim) OE. H us 260 (claim) H> 260 OF. Ho i2 260 (claim) H, u<260 (b) Find the standardized test statistic z, and its corresponding area z= (Round to two decimal places as needed) (c) Find the P-value P.value =(Round to three decimal places as needed) (d) Decide whother to reject or tal to reject the nul hypothesis O Reject Ho O Fal to reject Ho (e) Interpret your decision in the context of the onginal claim Al the 12% signficance level, there v enough evidence to V the administrator's clam that the mean score for the state's eighth graders on the exam is more than 260 Click to select your answer(s).

A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of 269. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 260. Assume that the population standard deviation is 33 At a=0.12, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify H,, and H, Choose the correct answer below. OA. Ho us260 H > 260 (claim) O B. Ho =260 (claim) OC. Ho p=260 H > 260 H > 260 (claim) OD. H < 260 H u2 260 (claim) OE. H us 260 (claim) H> 260 OF. Ho i2 260 (claim) H, u<260 (b) Find the standardized test statistic z, and its corresponding area z= (Round to two decimal places as needed) (c) Find the P-value P.value =(Round to three decimal places as needed) (d) Decide whother to reject or tal to reject the nul hypothesis O Reject Ho O Fal to reject Ho (e) Interpret your decision in the context of the onginal claim Al the 12% signficance level, there v enough evidence to V the administrator's clam that the mean score for the state's eighth graders on the exam is more than 260 Click to select your answer(s).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Question Help ▼ A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of 269. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 260. Assume that the population standard deviation is 33. At a= 0.12, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H. Choose the correct answer below. O A. Ho us 260 O B. Ho: H= 260 (claim) O C. H . μ= 260 Ha > 260 (claim) Ha H> 260 Ha µ> 260 (claim) D. Ho H<260 O E. Ho Hs 260 (claim) H µ> 260 O F. Ho u2 260 (claim) H u< 260 Ha H2 260 (claim) (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O Reject Ho Fail to reject Ho (e) Interpret your decision in the context of the original claim, At the 12% significance level, there enough evidence to the administrator's claim that the mean score for the state's eighth graders on the exam is more than 260. Click to select your answer(s). O Type here to search 1:00 AM 4/23/2021 S 710 121 pause break pri sc sysrq LEGO EGO delete home 80 backspace num k Y SID EIG H enter
Transcribed Image Text:Question Help ▼ A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of 269. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 260. Assume that the population standard deviation is 33. At a= 0.12, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H. Choose the correct answer below. O A. Ho us 260 O B. Ho: H= 260 (claim) O C. H . μ= 260 Ha > 260 (claim) Ha H> 260 Ha µ> 260 (claim) D. Ho H<260 O E. Ho Hs 260 (claim) H µ> 260 O F. Ho u2 260 (claim) H u< 260 Ha H2 260 (claim) (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O Reject Ho Fail to reject Ho (e) Interpret your decision in the context of the original claim, At the 12% significance level, there enough evidence to the administrator's claim that the mean score for the state's eighth graders on the exam is more than 260. Click to select your answer(s). O Type here to search 1:00 AM 4/23/2021 S 710 121 pause break pri sc sysrq LEGO EGO delete home 80 backspace num k Y SID EIG H enter
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