Consider the following hypotheses: He: μ-8 НА: н. 8 The population is normally distributed. A sample produces the following observations: (You may find it useful to reference the appropriate table: z table or table) 6 9 8 7 7 11 10 c. Find the p-value. O p-value < 0.01 O 0.01 ≤ p-value < 0.02 O 0.02 ≤ p-value < 0.05 O 0.05 ≤ p-value < 0.10 O p-value ≥ 0.10 d. At the 5% significance level, what is the conclusion? O Reject He since the p-value is greater than a. O Reject He since the p-value is smaller than a. O Do not reject He since the p-value is greater than a. O Do not reject He since the p-value is smaller than a. O We conclude that the sample mean differs from 8. O We cannot conclude that the population mean differs from 8. O We conclude that the population mean differs from 8. O We cannot conclude that the sample mean differs from 8. e. Interpret the results a = 0.05.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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Consider the following hypotheses:
He: μ = 8
HA: 8
The population is normally distributed. A sample produces the following observations: (You may find it useful to reference the
appropriate table: z table or table)
6 9 8 7
7 11 10
c. Find the p-value.
O p-value < 0.01
O 0.01 ≤ p-value < 0.02
O 0.02 ≤ p-value < 0.05
O 0.05 ≤ p-value < 0.10
O p-value ≥ 0.10
d. At the 5% significance level, what is the conclusion?
Reject He since the p-value is greater than a.
O Reject He since the p-value is smaller than a.
O Do not reject He since the p-value is greater than a.
O Do not reject He since the p-value is smaller than a.
O We conclude that the sample mean differs from 8.
O We cannot conclude that the population mean differs from 8.
O We conclude that the population mean differs from 8.
O We cannot conclude that the sample mean differs from 8.
e. Interpret the results a = 0.05.
Transcribed Image Text:Consider the following hypotheses: He: μ = 8 HA: 8 The population is normally distributed. A sample produces the following observations: (You may find it useful to reference the appropriate table: z table or table) 6 9 8 7 7 11 10 c. Find the p-value. O p-value < 0.01 O 0.01 ≤ p-value < 0.02 O 0.02 ≤ p-value < 0.05 O 0.05 ≤ p-value < 0.10 O p-value ≥ 0.10 d. At the 5% significance level, what is the conclusion? Reject He since the p-value is greater than a. O Reject He since the p-value is smaller than a. O Do not reject He since the p-value is greater than a. O Do not reject He since the p-value is smaller than a. O We conclude that the sample mean differs from 8. O We cannot conclude that the population mean differs from 8. O We conclude that the population mean differs from 8. O We cannot conclude that the sample mean differs from 8. e. Interpret the results a = 0.05.
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