b) A manufacturer claims that the average thickness of their chewing gum is 20mm. A quality control engineer wishes to check this claim and measures the average thickness of a sample of 10 pieces of gum, finding x = 18.6mm and s = 4mm. Does the sample seem to indicate that the average thickness of their chewing gum is not 20mm? Use a 0.05 level of significance. Circle the correct null and alternative hypotheses. i) H : μ = 20 : Нo μ = 20 Η : μ < 20 H₁ μ 20 Нo μ = 20 H₁ μ> 20 ii) What is the probability of making a Type I error? iii) Which test statistic will you use? Circle your answer. Ꮓ T iv) x² Calculate the value of the test statistic for the quality control engineer's sample. v) Determine the critical value of the test statistic. Do not round or truncate. vi) Determine the P-value. vii) What is the conclusion? Accept Ho Reject Ho Fail to reject Ho Circle your response. viii) Does the sample seem to indicate that the average thickness of their chewing gum is not 20mm? Circle your response. YES NO

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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Question
b) A manufacturer claims that the average thickness of their chewing gum is 20mm. A quality
control engineer wishes to check this claim and measures the average thickness of a sample
of 10 pieces of gum, finding x = 18.6mm and s = 4mm. Does the sample seem to indicate
that the average thickness of their chewing gum is not 20mm? Use a 0.05 level of significance.
Circle the correct null and alternative hypotheses.
i)
H : μ = 20
:
Нo μ = 20
Η : μ < 20
H₁ μ 20
Нo μ = 20
H₁ μ> 20
ii)
What is the probability of making a Type I
error?
iii)
Which test statistic will you use? Circle your answer.
Ꮓ
T
iv)
x²
Calculate the value of the test statistic for the quality control engineer's sample.
v)
Determine the critical value of the test statistic. Do not round or truncate.
vi) Determine the P-value.
vii)
What is the conclusion?
Accept Ho
Reject Ho
Fail to reject Ho
Circle your response.
viii)
Does the sample seem to indicate that the
average thickness of their chewing gum is not
20mm? Circle your response.
YES
NO
Transcribed Image Text:b) A manufacturer claims that the average thickness of their chewing gum is 20mm. A quality control engineer wishes to check this claim and measures the average thickness of a sample of 10 pieces of gum, finding x = 18.6mm and s = 4mm. Does the sample seem to indicate that the average thickness of their chewing gum is not 20mm? Use a 0.05 level of significance. Circle the correct null and alternative hypotheses. i) H : μ = 20 : Нo μ = 20 Η : μ < 20 H₁ μ 20 Нo μ = 20 H₁ μ> 20 ii) What is the probability of making a Type I error? iii) Which test statistic will you use? Circle your answer. Ꮓ T iv) x² Calculate the value of the test statistic for the quality control engineer's sample. v) Determine the critical value of the test statistic. Do not round or truncate. vi) Determine the P-value. vii) What is the conclusion? Accept Ho Reject Ho Fail to reject Ho Circle your response. viii) Does the sample seem to indicate that the average thickness of their chewing gum is not 20mm? Circle your response. YES NO
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