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
icon
Related questions
Question
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
 
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.
 
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt