Question
In: Statistics and Probability
Penicillin is produced by the Penicillum fungus, which is grown in a broth whose sugar content...
Penicillin is produced by the Penicillum fungus, which is grown in a broth whose sugar content must be carefully controlled. Several samples of broth were taken on three successive days, and the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were as follows. Can you conclude that the mean sugar concentration differs among the three days?
| Day 1 | 4.8 | 5.1 | 5.1 | 4.8 | 5.2 | 4.9 | 5.0 | 4.9 | 5.0 | 4.8 | 5.1 | 5.0 | 4.8 |
| Day 2 | 5.4 | 5.0 | 5.0 | 5.1 | 5.2 | 5.1 | 5.3 | 5.2 | 5.2 | 5.1 | 5.4 | 5.2 | 5.4 |
| Day 3 | 5.7 | 5.1 | 5.3 | 5.5 | 5.3 | 5.5 | 5.1 | 5.6 | 5.3 | 5.2 | 5.5 | 5.3 | 5.4 |
Solutions
Expert Solution
Null Hypothesis:Ho: mean sugar concentration is same among the three days
Alternate hypothesis:"Ha: mean sugar concentration differs among the three days
Applying ANOVA:
as p value is signifcantly low ; we reject Ho; and conclude that mean sugar concentration differs among the three days
orchestra answered 2 years agoRelated Solutions
Penicillin is produced by the Penicillium fungus, which is grown in a broth whose sugar content...
Penicillin is produced by the Penicillium fungus, which is grown
in a broth whose sugar content must be carefully controlled.
Several samples of broth were taken on three successive days, and
the amount of dissolved sugars, in milligrams per milliliter, was
measured on each sample. The results were as follows. Can we
conclude that the mean sugar concentration differs among the three
days? Use the 05.=αlevel of significance.
Day 1 4.8 5.1 5.1 4.8 5.2 4.9 5.0 4.9 5.0 4.8...
4. A sample of 36 bags of sugar produced by Domain sugar producers showed an average...
4. A sample of 36 bags of sugar produced by Domain sugar
producers showed an average of 2 pounds and 2 ounces with a
standard deviation of 7 ounces.
a. At 95% confidence, compute the margin of error and explain
what it shows.
b. Determine a 95% confidence interval for the average weight of
the population of bags of sugar produced by the company. Give the
answer in ounces and at least two decimal places.
c. The bags of sugar...
The sugar content in a one-cup serving of a certain breakfast cereal was measured for a...
The sugar content in a one-cup serving of a certain breakfast
cereal was measured for a sample of 140 servings. The average was
11.9 g and the standard deviation was 1.1 g.
Find a 95% confidence interval for the mean sugar content. Round
the answers to three decimal places.
The 95% confidence interval is ( ), ( )
The sugar content in a one-cup serving of a certain breakfast cereal was measured for a...
The sugar content in a one-cup serving of a certain breakfast
cereal was measured for a sample of 125 servings. The sample mean
sugar content was 11.9g and the sample standard deviation was
1.1g.
(a) Find a 99% confidence interval for the mean sugar
content.
(b) How large a sample is needed so that a 99% confidence interval
specifies the mean to within +0.1 (assume the standard deviation is
still 1.1g)?
4) Discuss in detail an appropriate method for determining the moisture content of sugar
4)
Discuss in detail an appropriate method for determining the
moisture content of sugar
The sugar content of the syrup in canned peaches is normally distributed. Suppose that the variance...
The sugar content of the syrup in canned peaches is normally
distributed. Suppose that the variance is thought to be
σ^2=18 (milligrams)^2. A random sample of n = 10 cans yields a
sample standard deviation of s = 4.8 milligrams.
(a) Test the hypothesis H0:σ^2 = 18 versus H1:σ2 ≠ 18 using α =
0.05
Find χ02 .Round your answer to two decimal places (e.g. 98.76).
Is it possible to reject H0 hypothesis at the 0.05 level of
significance?
A....
A food company is concerned about recent criticism of the sugar content of their children's cereals....
A food company is concerned about recent criticism of the sugar
content of their children's cereals. The company would like to
know if there is a difference between the sugar content of
children's cereals and adults' cereals. The data show the sugar
content (as a percentage of weight) of several national brands
of children's and adults' cereals. Complete parts a through d.
Full data set Children's cereal: 41.3 comma 56.2 comma 49.8 comma
43.6 comma 54.6 comma 46.8 comma 53.3...
A food company is concerned about recent criticism of the sugar content of their children’s cereals.
A food company is concerned about recent criticism of the sugar content of their children’s cereals. The data show the sugar content (as a percentage of weight) of 15 national brands of children and adult cereals.
Children’s Cereal’s
Adult’s Cereal
40.3
20.5
55
30.2
45.7
22.2
43.3
27.5
50.3
34.4
45.9
22.2
53.5
16.6
43
14.5
44.2
21.4
44
30.2
47.4
19.1
44
40.8
33.6
38.1
55.1
21.4
48.8
29.1
1) At the .05 level of significance, is there evidence...
A food company is concerned about recent criticism of the sugar content of their children’s cereals....
A food company is concerned about recent criticism of the sugar
content of their children’s cereals. The data show the sugar
content (as a percentage of weight) of several national brands of
children’s and adults’ cereals.
Children’s cereals: 40.3, 55, 45.7, 43.3, 50.3, 45.9, 53.5, 43,
44.2, 44, 47.4, 44, 33.6, 55.1, 48.8, 50.4, 37.8, 60.3, 46.6
Adults’ cereals: 20, 30.2, 2.2, 7.5, 4.4, 22.2, 16.6, 14.5,
21.4, 3.3, 6.6, 7.8, 10.6, 16.2, 14.5, 4.1, 15.8, 4.1, 2.4, 3.5,
8.5,...
A food company is concerned about recent criticism of the sugar content of their children's cereals....
A food company is concerned about recent criticism of the sugar
content of their children's cereals. The company would like to
know if there is a difference between the sugar content of
children's cereals and adults' cereals. The data show the sugar
content (as a percentage of weight) of several national brands
of children's and adults' cereals.
Children's cereal
Adults' cereal
41.3
24.3
57.5
26.5
48.4
4.3
41.3
8.2
54.2
1.7
48.9
22.8
51.7
17.3
43.6
10.2
42.7
21.5
41.4...
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