random sample of 76 eighth-grade students' scores on a national mathematics assessment test has a mean score of 273. 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 270. Assume that the population standard deviation is 33. At α=0.02, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). Part 1 (a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below. A.) H0: μ≥270 (claim) Ha: μ<270 B.) H0: μ≤270 (claim) Ha: μ>270 C.) H0: μ=270 (claim) Ha: μ>270 D.) H0:μ≤270 Ha: μ>270 (claim) E.) H0: μ<270 Ha: μ≥270 (claim) F.) H0: μ=270 Ha: μ>270 (claim) (b) Find the standardized z, and its coresponding area z=_____ (c) Find the P-value P-value =_____ (d) Decide whether to reject or fail the null hypothesis (e) Interpret your decision in the context of the original claim.
random sample of 76 eighth-grade students' scores on a national mathematics assessment test has a mean score of 273. 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 270. Assume that the population standard deviation is 33. At α=0.02, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). Part 1 (a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below. A.) H0: μ≥270 (claim) Ha: μ<270 B.) H0: μ≤270 (claim) Ha: μ>270 C.) H0: μ=270 (claim) Ha: μ>270 D.) H0:μ≤270 Ha: μ>270 (claim) E.) H0: μ<270 Ha: μ≥270 (claim) F.) H0: μ=270 Ha: μ>270 (claim) (b) Find the standardized z, and its coresponding area z=_____ (c) Find the P-value P-value =_____ (d) Decide whether to reject or fail the null hypothesis (e) Interpret your decision in the context of the original claim.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A random sample of 76 eighth-grade students' scores on a national mathematics assessment test has a mean score of 273. 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 270. Assume that the population standard deviation is 33. At α=0.02, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).
Part 1
(a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below.
A.) H0: μ≥270 (claim)
Ha: μ<270
Ha: μ>270
Ha: μ>270
Ha: μ>270 (claim)
Ha: μ≥270 (claim)
Ha: μ>270 (claim)
(b) Find the standardized z, and its coresponding area
z=_____
(c) Find the P-value
P-value =_____
(d) Decide whether to reject or fail the null hypothesis
(e) Interpret your decision in the context of the original claim.
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