Testing: Ho: μ > 44.7 H:μ < 44.7 Your sample consists of 38 values, with a sample mean of 44.2. Suppose the population standard deviation is known to be 1.23. a) Calculate the value of the test statistic, rounded to 2 decimal places. 2 = b) At a = 0.08, the rejection region is Oz -1.75 or z > 1.75 Oz < -1.41 Oz> 1.41 Oz > 1.75 Oz < -1.75 Oz -1.41 or z > 1.41 c) The decision is to O Reject the null hypothesis Accept the alternative hypotheis O Fail to reject the null hypothesis O Accept the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? O Type I O Type II

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
icon
Related questions
Question

2.)

Testing:
Ho: μ > 44.7
Ηι:μ < 44.7
Your sample consists of 38 values, with a sample mean of 44.2. Suppose the population standard deviation
is known to be 1.23.
a) Calculate the value of the test statistic, rounded to 2 decimal places.
2 =
b) At a = 0.08, the rejection region is
Oz -1.75 or z > 1.75
O z < -1.41
z > 1.41
Oz > 1.75
Oz < -1.75
z < -1.41 or z > 1.41
c) The decision is to
Reject the null hypothesis
Accept the alternative hypotheis
O Fail to reject the null hypothesis
Accept the null hypothesis
d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that?
Type I
Type II
Transcribed Image Text:Testing: Ho: μ > 44.7 Ηι:μ < 44.7 Your sample consists of 38 values, with a sample mean of 44.2. Suppose the population standard deviation is known to be 1.23. a) Calculate the value of the test statistic, rounded to 2 decimal places. 2 = b) At a = 0.08, the rejection region is Oz -1.75 or z > 1.75 O z < -1.41 z > 1.41 Oz > 1.75 Oz < -1.75 z < -1.41 or z > 1.41 c) The decision is to Reject the null hypothesis Accept the alternative hypotheis O Fail to reject the null hypothesis Accept the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? Type I Type II
Expert Solution
steps

Step by step

Solved in 3 steps with 3 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