Question
In: Statistics and Probability
A company tested 11 random brands of vanilla yogurt and found the number of calories per...
A company tested 11 random brands of vanilla yogurt and found the number of calories per serving given below. (Note that more than 110 different brands of vanilla yogurt exist.) Complete parts a through c.
120 160 150 130 130 110 170 160 110 130 80
a) Check the assumptions and conditions for inference.
Is the Independence Assumption met?
Yes
No
Is the Randomization Condition met or is the sample suitably representative?
Yes
No
Is the 10% Condition met?
No
Yes
Is the Nearly Normal Condition met?
No
Yes
b) Find a 95% confidence interval for the average calorie content of vanilla yogurt per serving.
nothingless than mu left parenthesis calories right parenthesis less than<μ(calories)<nothing
(Round to two decimal places as needed.)
c) Interpret this interval for someone looking to buy yogurt. Choose the correct answer below.
A.
A randomly selected serving of yogurt has a 95% chance of having a calorie content within the interval.
B.
95% of yogurts have a calorie content per serving that is within the interval.
C.
We can be 95% confident that the interval contains the true average calorie content per serving of yogurt.
D.
There is a 95% chance that the true average calorie content per serving of yogurt is within the interval.
Solutions
orchestra answered 2 years agoRelated Solutions
A company tested 11 random brands of vanilla yogurt and found the number of calories per...
A company tested 11 random brands of vanilla yogurt and found
the number of calories per serving given below. (Note that more
than 110 different brands of vanilla yogurt exist.) Complete parts
a through c. 140 160 140 110 120 120 170 160 100 120 80 Is the
Independence Assumption met? Is the Randomization Condition met or
is the sample suitably representative? Is the 10% Condition met?
Is the Nearly Normal Condition met? b) Find a 95% confidence
interval for...
Consumer Reports tested 11 brands of vanilla yogurt and found these numbers of calories per serving:...
Consumer Reports tested 11 brands of vanilla yogurt and
found these numbers of calories per serving:
130, 160, 150, 120, 90, 110, 170, 140, 110, 130, 90
If we want to create a 95% confidence interval for the average
calorie content of vanilla yogurt, what would be the standard error
of the sample average? (Round to two decimal places.)
A consumer group tested 11 brands of vanilla yogurt and found the numbers below for calories...
A
consumer group tested 11 brands of vanilla yogurt and found the
numbers below for calories per serving. find the test statistic (t)
and the P-value
130
160
145
115
125
110
175
155
110
125
95
Consumer Reports tested 11 brands of vanilla yoghurt and found these numbers of calories per serving:...
Consumer Reports tested 11 brands of vanilla yoghurt and found
these numbers of calories per serving:
130 160 150 120 120 110 170 160 110 130 90
Use a 0.05 significance level to test the claim that the mean
serving is equal to 120 calories, as a diet guide claim.
1. State the hypotheses and identify the claim
2. Find the critical value or values
3. Find the test statistic. First state the calculator command
used to find it.
4....
10 brands of vanilla yogurt and found these numbers of calories per serving: 130 160 150...
10 brands of vanilla yogurt and found these numbers of calories
per serving:
130 160 150 120 110 170 160 110 130 90
- Check the assumptions and conditions for inference.
-Create a 95% confidence interval for the average calorie
content of vanilla yogurt.
-A diet guide claims that you will get an average of 120
calories from a serving of vanilla yogurt. What does the
evidence above indicate? Use your confidence interval to test an
appropriate hypothesis and state...
A company that produces 8-oz low-fat yogurt cups wanted to estimate the mean number of calories...
A company that produces 8-oz low-fat yogurt cups wanted to
estimate the mean number of calories for such cups. A random sample
of 10 such cups produced the following numbers of calories: Assume
that the number of calories in such cups are normally
distributed.
147 159 153 146 144 148 163 153 143 158
a. What is the point estimate of the mean calories for 8-oz low-fat
yogurt cups?
b. Construct a 95% confidence interval for the mean calories for...
14_ The average chocolate chip cookie contains 110 calories. A random sample of 15 different brands...
14_ The average chocolate chip cookie contains 110 calories. A
random sample of 15 different brands of chocolate chip cookies
found that the average amount of calories was 127 calories with a
sample deviation of 6.23 calories. At .01 level of significance,
test the hypothesis that the average calories for chocolate chip
cookies greater than 110.
What are your null (H0) and alternative (H1) hypotheses?
What is the z or t score for step 2
What is the statistic value...
Problem: A random sample of 200 kitchen blenders is tested and 10 are found to be...
Problem: A random sample of 200 kitchen blenders is tested and
10 are found to be defective.
(a) Construct a 86% confidence interval for the proportion p of
defective blenders.
(b) Do the results contradict the manufacturer’s claim that less
than 4% of the blenders are defective? Explain.
(c) Should the null hypothesis H0 : p = 0.06 be rejected at
significance level 14% in a hypothesis test that uses the same
data? Explain.
1.) The following data are the calories per half-cup serving for two popular ice cream brands...
1.) The following data are the calories per half-cup serving for
two popular ice cream brands reviewed by Consumer Reports (July
1999): Brand A: 270 150 170 140 160 160 160 290 Brand B: 190 190
160 170 150 110 180 170 Construct a 90% confidence interval for the
difference in the mean calories per half-cup for the two brands of
ice cream. Interpret your results.
1a.)How many samples? 1b.) Full name of interval? 1c.) Is this
problem for means...
The average 1-ounce chocolate chip cookie contains 110 calories. A random sample of 15 different brands...
The average 1-ounce chocolate chip cookie contains 110 calories.
A random sample of 15 different brands of 1-ounce cholocate chip
cookies resulted in the following calorie amounts. At the = 0.01
level, is there sufficient evidence that the average calorie
content is greater than 110 calories?
100 125 140 125 120 125 105 115 130 100 135 115 115 120 110
State:__________________________________ CV: use table E, F, G,
CV=___________________ TV: z, t, or 2 (circle one),
TV=________________ Decide:________________________________...
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