cold medicine lists 600 milligrams of acetaminophen per fluid ounce as an active ingredient. A test of 65 one-ounce samples of the medicine finds that the mean amount of acetaminophen for the samp 8 milligrams with a standard deviation of 20 milligrams. Test the claim that the medicine does not contain the required amount of acetaminophen. Use a 0.05 significance level.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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A cold medicine lists 600 milligrams of acetaminophen per fluid ounce as an active ingredient. A test of 65 one-ounce samples of the medicine finds that the mean amount of acetaminophen for the sample is
598 milligrams with a standard deviation of 20 milligrams. Test the claim that the medicine does not contain the required amount of acetaminophen. Use a 0.05 significance level.
State the null and alternative hypotheses.
O A. Ho: H= 600 milligrams
O B. Ho: µ= 600 milligrams
H3:µ#600 milligrams
Ha: p> 600 milligrams
O C. Ho: µ= 600 milligrams
HaiH<600 milligrams
O D. Ho: µ#600 milligrams
Ha: µ= 600 milligrams
Find the z-score.
(Round to two decimal places as needed.)
Find the P-value.
The P-value is.
(Round to four decimal places as needed.)
State the conclusion.
O A. The P-value is greater than the significance level. There is not sufficient evidence to support the O B. The P-value is less than or equal to the significance level. There is not sufficient evidence to
claim that the medicine does not contain the required amount of acetaminophen.
support the claim that the medicine does not contain the required amount of acetaminophen.
C. The P-value is greater than the significance level. There is sufficient evidence to support the
claim that the medicine does not contain the required amount of acetaminophen.
D. The P-value is less than or equal to the significance level. There is sufficient evidence to
support the claim that the medicine does not contain the required amount of acetaminophen.
O Time Remaining: 02:32:58
Next
MacBook
DD
DII
F11
F10
F9
F8
F7
20
00
F6
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F2
F1
&
$
7
8
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5
Transcribed Image Text:A cold medicine lists 600 milligrams of acetaminophen per fluid ounce as an active ingredient. A test of 65 one-ounce samples of the medicine finds that the mean amount of acetaminophen for the sample is 598 milligrams with a standard deviation of 20 milligrams. Test the claim that the medicine does not contain the required amount of acetaminophen. Use a 0.05 significance level. State the null and alternative hypotheses. O A. Ho: H= 600 milligrams O B. Ho: µ= 600 milligrams H3:µ#600 milligrams Ha: p> 600 milligrams O C. Ho: µ= 600 milligrams HaiH<600 milligrams O D. Ho: µ#600 milligrams Ha: µ= 600 milligrams Find the z-score. (Round to two decimal places as needed.) Find the P-value. The P-value is. (Round to four decimal places as needed.) State the conclusion. O A. The P-value is greater than the significance level. There is not sufficient evidence to support the O B. The P-value is less than or equal to the significance level. There is not sufficient evidence to claim that the medicine does not contain the required amount of acetaminophen. support the claim that the medicine does not contain the required amount of acetaminophen. C. The P-value is greater than the significance level. There is sufficient evidence to support the claim that the medicine does not contain the required amount of acetaminophen. D. The P-value is less than or equal to the significance level. There is sufficient evidence to support the claim that the medicine does not contain the required amount of acetaminophen. O Time Remaining: 02:32:58 Next MacBook DD DII F11 F10 F9 F8 F7 20 00 F6 F5 F4 F3 F2 F1 & $ 7 8 4. 5
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