▾ Part 1 of A study is done to determine which of two soft drinks has more sugar. There are 21 cans of Beverage A in the researchers' sample and 20 cans of Beverage B. The mean amount of sugar in Beverage A is 27.7 grams per can with a sample standard deviation of 0.6 grams. The mean amount of sugar in Beverage B is 27.2 grams with a standard deviation of 0.3 grams. The researchers believe that Beverage A has more sugar than Beverage B, on average. Both populations are normally distributed. Conduct a hypothesis test using a 10% level of significance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A study is done to determine which of two soft drinks has more sugar. There are 21 cans of
Beverage A in the researchers' sample and 20 cans of Beverage B. The mean amount of sugar in
Beverage A is 27.7 grams per can with a sample standard deviation of 0.6 grams. The mean amount
of sugar in Beverage B is 27.2 grams with a standard deviation of 0.3 grams. The researchers believe
that Beverage A has more sugar than Beverage B, on average. Both populations are normally
distributed. Conduct a hypothesis test using a 10% level of significance.
Step 1: State the null and alternative hypotheses.
Ho: MAHB SVO
Ha: MA – MB > ν ο
-
(So we will be performing a right-tailed
The differences of sample means are t-distributed
and distribution standard deviation 1
Question Help: Post to forum
test.)
Part 2 of 4
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of the
differences of sample means.
Submit Part
▼ Part 1 of 4
A
✔with distribution mean o
Transcribed Image Text:A study is done to determine which of two soft drinks has more sugar. There are 21 cans of Beverage A in the researchers' sample and 20 cans of Beverage B. The mean amount of sugar in Beverage A is 27.7 grams per can with a sample standard deviation of 0.6 grams. The mean amount of sugar in Beverage B is 27.2 grams with a standard deviation of 0.3 grams. The researchers believe that Beverage A has more sugar than Beverage B, on average. Both populations are normally distributed. Conduct a hypothesis test using a 10% level of significance. Step 1: State the null and alternative hypotheses. Ho: MAHB SVO Ha: MA – MB > ν ο - (So we will be performing a right-tailed The differences of sample means are t-distributed and distribution standard deviation 1 Question Help: Post to forum test.) Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of the differences of sample means. Submit Part ▼ Part 1 of 4 A ✔with distribution mean o
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