Question
The data set below is a random sample of the weights (in oz.) of 15 donuts....
- The data set below is a random sample of the weights (in oz.) of 15 donuts. From this, can we conclude with 95% confidence that the mean weight of a donut is greater than 2 ounces? Justify your answer.
2.3 2.6 2.0 2.4 1.8
3.1 2.2 2.5 1.7 2.1
1.4 2.0 1.5 2.6 2.3
Homework Answers
Answer #1
Null and alternative hypotheses
Ho : 
= 2
H1 :
> 2
Test statistic t
t = (xbar -
)/(s/√n)
t = ( 2.17 -2)/(0.45/√15)
t = 1.46
tCritical for a = 0.05 and d.f = n -1 = 14
tCritical = t1-a ,n-1 = t0.95, 14
tCritical = 1.76
Decision rule : if t > 1.76 we reject the null hypothesis otherwise we fail to reject the null hypothesis
Our t = 1.46 < 1.76
Decision : fail to reject the null hypothesis Ho
Conclusion : There is no sufficient evidence to support the claim that that the mean weight of a donut is greater than 2 ounces
Not the answer you're looking for?
Similar Questions
Researchers studied the effect of a houseplant fertilizer on radish sprout growth. They randomly selected some...
Researchers studied the effect of a houseplant fertilizer on
radish sprout growth. They randomly selected some radish seeds to
serve as controls, while other were planted in planters to which
fertilizer sticks were added. The following table shows
data on the heights of plants (in cm) two weeks after
germination.
Control
Fertilized
3.4
2.7
1.6
1.6
2.8
1.2
1.9
3.0
4.4
2.3
2.9
3.0
1.9
0.9
2.7
1.4
3.5
2.0
2.3
2.3
3.6
1.5
2.3
1.2
2.9
1.8
2.8
3.2
1.2...
A sociologist claims that children spent more time watching television in 1981 than children do today....
A sociologist claims that children spent more time watching
television in 1981 than children do today. A study was conducted in
1981 to find the time that children watched television on weekdays.
Recently, a similar study was conducted. The results of these
studies (in hours per weekday) are shown below. Assume the
population standard deviation is 0.7 for 1981 and 0.7 for today. At
α=0.05, can you support the sociologist's claim?
Complete parts (a) through (d) below.
1981
3.2
1.4...
A sociologist claims that children spent more time watching television in 1981 than children do today....
A sociologist claims that children spent more time watching
television in 1981 than children do today. A study was conducted in
1981 to find the time that children watched television on weekdays.
Recently, a similar study was conducted. The results of these
studies (in hours per weekday) are shown below. Assume the
population standard deviation is 0.8 for 1981 and 0.6 for today. At
α=0.05, can you support the sociologist's claim? Complete parts (a)
through (d) below.
1981
1981
2.5...
these are percentages of annual sales growth and net sales attributed to loyalty card usage at...
these are percentages of annual sales growth and net sales
attributed to loyalty card usage at 74 noodels and company
restaurant
Store
Growth%
Loyalty%
Store
Growth%
Loyalty%
1
-7.7
0.7
38
7.1
1.7
2
-7.5
2.0
39
7.3
1.2
3
-6.4
1.3
40
7.7
1.7
4
-4.4
1.4
41
7.8
2.4
5
-4.1
2.0
42
8.3
2.1
6
-2.0
2.5
43 ...
The data below is 9 observations of car weight (x) and gas mileage (y). Calculate the...
The data below is 9 observations of car weight (x) and gas
mileage (y). Calculate the linear correlation coefficient, rr.
Enter your answers to two decimal places.
X
(tons)
Y
(mpg)
2.4
24
3.1
30
2.1
32
2.3
32
2.6
34
1.5
33
0.9
34
1
44
1.4
35
Provided in the date below a set of restoration times for 35 failed power transformers. The...
Provided in the date below a set of restoration times for 35
failed power transformers. The data were collected for recent
transformer failures by a fairly novice work crew. a. What is a 90%
confidence interval for mean restoration time? b. What is a 99%
confidence interval for mean restoration time? c. If the industry
standard for such a restoration is 2.7 hours, discuss how well the
work crew in this analysis performed.
2.2
1.7
2.4
2.5
2.9
4.4
5.1...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times
at bat. A random sample of 43 professional baseball players gave
the following data for home run percentages.
1.6
2.4
1.2
6.6
2.3
0.0
1.8
2.5
6.5
1.8
2.7
2.0
1.9
1.3
2.7
1.7
1.3
2.1
2.8
1.4
3.8
2.1
3.4
1.3
1.5
2.9
2.6
0.0
4.1
2.9
1.9
2.4
0.0
1.8
3.1
3.8
3.2
1.6
4.2
0.0
1.2
1.8
2.4
(a) Use a calculator with mean...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times
at bat. A random sample of 43 professional baseball players gave
the following data for home run percentages.
1.6
2.4
1.2
6.6
2.3
0.0
1.8
2.5
6.5
1.8
2.7
2.0
1.9
1.3
2.7
1.7
1.3
2.1
2.8
1.4
3.8
2.1
3.4
1.3
1.5
2.9
2.6
0.0
4.1
2.9
1.9
2.4
0.0
1.8
3.1
3.8
3.2
1.6
4.2
0.0
1.2
1.8
2.4
(a) Use a calculator with mean...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times
at bat. A random sample of 43 professional baseball players gave
the following data for home run percentages.
1.6
2.4
1.2
6.6
2.3
0.0
1.8
2.5
6.5
1.8
2.7
2.0
1.9
1.3
2.7
1.7
1.3
2.1
2.8
1.4
3.8
2.1
3.4
1.3
1.5
2.9
2.6
0.0
4.1
2.9
1.9
2.4
0.0
1.8
3.1
3.8
3.2
1.6
4.2
0.0
1.2
1.8
2.4
(a) Use a calculator with mean...
The home run percentage is the number of home runs per 100 times at bat. A...
The home run percentage is the number of home runs per 100 times
at bat. A random sample of 43 professional baseball players gave
the following data for home run percentages.
1.6
2.4
1.2
6.6
2.3
0.0
1.8
2.5
6.5
1.8
2.7
2.0
1.9
1.3
2.7
1.7
1.3
2.1
2.8
1.4
3.8
2.1
3.4
1.3
1.5
2.9
2.6
0.0
4.1
2.9
1.9
2.4
0.0
1.8
3.1
3.8
3.2
1.6
4.2
0.0
1.2
1.8
2.4
(a) Use a calculator with mean...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 3 minutes ago
asked 4 minutes ago
asked 23 minutes ago
asked 30 minutes ago
asked 31 minutes ago
asked 40 minutes ago
asked 41 minutes ago
asked 51 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago