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Text: Question 12 (5 points) PROBLEM 7. A manufacturer of antihistamine drug Allegra states that it contains 180 mg of fexofenadine hydrochloride per capsule as an active ingredient. To check the correctness of this statement, FDA randomly selects 29 Allegra capsules and finds the average amount of fexofenadine hydrochloride in them to be 189 mg with a standard deviation of 20.31 mg. If it is known that the content of fexofenadine hydrochloride in all Allegra capsules manufactured is normally distributed, does FDA have enough evidence to reject the manufacturer's statement at the level of significance α of 0.05? QUESTION 1: State the hypotheses to be tested Ho: μ = 180 Ha: μ < 180 Question 13 (5 points) PROBLEM 7/QUESTION 2: Compute the p-value. (Round your answer to 3 decimal places) 0.012 Question 14 (5 points) PROBLEM 7/QUESTION 3: Make your decision: Is there enough evidence to reject Ho at α = 0.05? Yes: p-value = 0.012, so there is enough evidence to reject Ho at α = 0.05.

          Text: Question 12 (5 points)
PROBLEM 7. A manufacturer of antihistamine drug Allegra states that it contains 180 mg of fexofenadine hydrochloride per capsule as an active ingredient. To check the correctness of this statement, FDA randomly selects 29 Allegra capsules and finds the average amount of fexofenadine hydrochloride in them to be 189 mg with a standard deviation of 20.31 mg. If it is known that the content of fexofenadine hydrochloride in all Allegra capsules manufactured is normally distributed, does FDA have enough evidence to reject the manufacturer's statement at the level of significance α of 0.05?

QUESTION 1: State the hypotheses to be tested
Ho: μ = 180
Ha: μ < 180

Question 13 (5 points)
PROBLEM 7/QUESTION 2: Compute the p-value. (Round your answer to 3 decimal places)
0.012

Question 14 (5 points)
PROBLEM 7/QUESTION 3: Make your decision: Is there enough evidence to reject Ho at α = 0.05?
Yes: p-value = 0.012, so there is enough evidence to reject Ho at α = 0.05.
        
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question 125 points problem 7a manufacturer of antihistamine drug allegra states that it contains 180 mg of fexofenadine hydrochloride per capsule as an active ingredient to check correctnes 25498

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Text: Question 12 (5 points) PROBLEM 7. A manufacturer of antihistamine drug Allegra states that it contains 180 mg of fexofenadine hydrochloride per capsule as an active ingredient. To check the correctness of this statement, FDA randomly selects 29 Allegra capsules and finds the average amount of fexofenadine hydrochloride in them to be 189 mg with a standard deviation of 20.31 mg. If it is known that the content of fexofenadine hydrochloride in all Allegra capsules manufactured is normally distributed, does FDA have enough evidence to reject the manufacturer's statement at the level of significance α of 0.05? QUESTION 1: State the hypotheses to be tested Ho: μ = 180 Ha: μ < 180 Question 13 (5 points) PROBLEM 7/QUESTION 2: Compute the p-value. (Round your answer to 3 decimal places) 0.012 Question 14 (5 points) PROBLEM 7/QUESTION 3: Make your decision: Is there enough evidence to reject Ho at α = 0.05? Yes: p-value = 0.012, so there is enough evidence to reject Ho at α = 0.05.
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Transcript

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00:01 So for this question, the non -hypositor is that m.
00:05 M is more than equal to 14.
00:06 Alternative 1 as mir is greater than that.
00:09 So this is a one sample two test.
00:11 The t test is equal to x bar sample mean minus 14 hypothesis value divided by stand deviation of the sample over the root of sample size 16.
00:21 So this value is equal to 2.
00:24 And then the p value, since this is a right, tail test.
00:32 So we just need to get the right tail probability using the t distribution.
00:38 So after the now hypothesis, this should follow a t distribution with n minus 1 degrees of data...
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