A bottling company claims that on average, their bottles are filled with at least 16.1 ounces of decaffeinated tea. Suppose that a random sample of 100 bottles yields an average fill of 15.95 ounces, with standard deviation of 0.2 ounces. State the null hypothesis that would be used to test the claim that the average fill is less than 16.1 ounces. a, Ho: p= 16.1 b. Ho: μ< 16.1 c. Ho: u 16.1 d. Ho: u 16.1 If alpha is 5%, what is the decision rule? a. reject Ho if z > 1.96 b. reject Ho if z < -1.65 c. reject Ho if z> -1.65 d. reject Ho if |z| > 1.65 2. Compute Ztest. a. -0.75 b. -0.15 c. -7.5 d. 0.75 4. If the conclusion is to reject the null hypothesis, which of the following is correct interpretation for this conclusion? a. the average fill is at least 16.1 ounces. b. the average fill is significantly less than 15.95 ounces. c. the average fill is not equal to 16.1 ounces. d. the average fill is significantly less than 16.1 ounces. 3.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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A bottling company claims that on average, their bottles are filled with at
least 16.1 ounces of decaffeinated tea. Suppose that a random sample of 100
bottles yields an average fill of 15.95 ounces, with standard deviation of 0.2
ounces.
1.
State the null hypothesis that would be used to test the claim that the
average fill is less than 16.1 ounces.
16.1
a, Ho: u
b. Ho: μ< 16.1
- c. Ho: u > 16.1
d. Ho: u≤ 16.1
If alpha is 5%, what is the decision rule?
a. reject Ho if z > 1.96
b. reject Ho if z < -1.65
c. reject Ho if z> -1.65
d. reject Ho if |z| > 1.65
2.
Compute Ztest.
a. -0.75
b. -0.15
c. -7.5
d. 0.75
4.
If the conclusion is to reject the null hypothesis, which of the following is a
correct interpretation for this conclusion?
a. the average fill is at least 16.1 ounces.
b. the average fill is significantly less than 15.95
ounces.
c. the average fill is not equal to 16.1 ounces.
d. the average fill is significantly less than 16.1 ounces.
3
3.
Transcribed Image Text:A bottling company claims that on average, their bottles are filled with at least 16.1 ounces of decaffeinated tea. Suppose that a random sample of 100 bottles yields an average fill of 15.95 ounces, with standard deviation of 0.2 ounces. 1. State the null hypothesis that would be used to test the claim that the average fill is less than 16.1 ounces. 16.1 a, Ho: u b. Ho: μ< 16.1 - c. Ho: u > 16.1 d. Ho: u≤ 16.1 If alpha is 5%, what is the decision rule? a. reject Ho if z > 1.96 b. reject Ho if z < -1.65 c. reject Ho if z> -1.65 d. reject Ho if |z| > 1.65 2. Compute Ztest. a. -0.75 b. -0.15 c. -7.5 d. 0.75 4. If the conclusion is to reject the null hypothesis, which of the following is a correct interpretation for this conclusion? a. the average fill is at least 16.1 ounces. b. the average fill is significantly less than 15.95 ounces. c. the average fill is not equal to 16.1 ounces. d. the average fill is significantly less than 16.1 ounces. 3 3.
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