Question
In: Statistics and Probability
Two brands of cigarettes are selected, and their nicotine content is compared. The data is below:...
Two brands of cigarettes are selected, and their nicotine content is compared. The data is below:
Brand A: sample mean = 30.8, the sample standard deviation = 5, the sample size 37
Brand B: sample mean = 33.1, the sample standard deviation = 4, the sample size 46
A) Find the margin of error for 95% confidence interval of the true difference in the means
B) Find the lower bound of 95% confidence interval of the true difference in means (round answer 3 decimal places)
C) Find upper bound of 95% confidence interval of the true difference in means (round answer 3 decimal places)
D) Based on the 95% confidence interval calculated, can you conclude which brand has a lower nicotine level?
Solutions
orchestra answered 2 years agoRelated Solutions
The manufacturer of a certain brand of cigarettes states that the nicotine content in their cigarettes...
The manufacturer of a certain brand of cigarettes states that
the nicotine content in their cigarettes is 18.2mg with a standard
deviation of 1.15mg. An independent testing agency
examined a random sample cigarettes (sample below). At a 5%
level of significance, is there evidence for the testing agency to
conclude that the mean nicotine level to be other than the company
states?
Cigarette Nicotine Level (mg)
19.51
17.34
19.58
18.31
18.98
19.02
18.63
18.4
18.32
17.74
18.82
17.92
17.77
18.54...
The manufacturer of a certain brand of cigarettes states that the nicotine content in their cigarettes...
The manufacturer of a certain brand of cigarettes states that
the nicotine content in their cigarettes is 18.2mg with a standard
deviation of 1.15mg. An independent testing agency
examined a random sample cigarettes (sample below). At a 5% level
of significance, is there evidence for the testing agency to
conclude that the mean nicotine level to be other than the company
states?
Cigarette Nicotine Level (mg)
19.51 17.34 19.58
18.31 18.98 19.02 18.63
18.4 18.32 17.74 18.82
17.92 17.77
18.54 ...
To compare the nicotine content of two quality cigarettes A and B, A examined 60 specimens...
To compare the nicotine content of two quality cigarettes A and
B, A examined 60 specimens and B examined 40 specimens.
cigarettes
average
dispertion
A
15.4
3
B
16.8
4
Is there a difference in the nicotine content of the two
cigarettes at the 5% significance level?
QUESTION 1 A consumer advocacy group compares the amount of nicotine in two brands of cigarettes....
QUESTION 1
A consumer advocacy group compares the amount of nicotine in two
brands of cigarettes. A sample of 64 cigarettes from Brand A has an
average of 1.95 mg with a standard deviation of 0.24 mg. A sample
of 81 cigarettes from Brand B has an average of 1.85 mg and a
standard deviation of 0.22.
Suppose you want to estimate how much more nicotine is in Brand A
cigarettes in general using a 90% confidence interval.
1. The...
The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams)...
The nicotine content in cigarettes of a certain brand is
normally distributed with mean (in milligrams) ? μ and standard
deviation ?=0.1 σ = 0.1 . The brand advertises that the mean
nicotine content of their cigarettes is 1.5 mg. Now, suppose a
reporter wants to test whether the mean nicotine content is
actually higher than advertised. He takes measurements from a SRS
of 15 cigarettes of this brand. The sample yields an average of 1.4
mg of nicotine. Conduct...
The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams)...
The nicotine content in cigarettes of a certain brand is
normally distributed with mean (in milligrams) μμ and standard
deviation σ=0.1σ=0.1. The brand advertises that the mean nicotine
content of their cigarettes is 1.5 mg. Now, suppose a reporter
wants to test whether the mean nicotine content is actually higher
than advertised. He takes measurements from a SRS of 10 cigarettes
of this brand. The sample yields an average of 1.6 mg of nicotine.
Conduct a test using a significance...
3. The nicotine content in cigarettes of a certain brand is normally distributed with mean (in...
3. The nicotine content in cigarettes of a certain brand is
normally distributed with mean (in milligrams)μ. The brand
advertises that the mean nicotine content of their cigarettes is
1.5, but measurementson a random sample of 100 cigarettes of this
brand gave a mean of ̄x= 1.53 and standard deviations= 0.1. Is
there sufficient evidence in the sample to suggest that the mean
nicotine content is actuallyhigher than advertised? Useα= 0.05.
(Hint: follow the steps: 1) setH0andHa; 2) set the...
3. The nicotine content in cigarettes of a certain brand is normally distributed with mean (in...
3. The nicotine content in cigarettes of a certain brand is
normally distributed with mean (in milligrams) µ. The brand
advertises that the mean nicotine content of their cigarettes is
1.5, but measurements on a random sample of 100 cigarettes of this
brand gave a mean of ¯ x = 1.53 and standard deviation s = 0.1. Is
there sufficient evidence in the sample to suggest that the mean
nicotine content is actually higher than advertised? Use α = 0.05....
A particular brand of cigarettes has a mean nicotine content of 15.2 mg with standard deviation...
A particular brand of cigarettes has a mean nicotine
content of 15.2 mg with standard deviation of 1.6mg
c)What is a mean nicotine content for
lowest 3% of all cigarettes?
d) What is the probability randomly
chosen cigarette has a nicotine content greater than 15.2mg?
e) What is the probability that a random sample of 40 of these
cigarettes has a mean nicotine content between 15.5 and 15.9
mg?
The data below shows the sugar content in grams of several brands of children's and adults'...
The data below shows the sugar content in grams of several
brands of children's and adults' cereals. Create and interpret a
95% confidence interval for the difference in the mean sugar
content,
mu Subscript Upper C Baseline minus mu Subscript Upper
AμC−μA.
Be sure to check the necessary assumptions and conditions.
(Note: Do not assume that the variances of the two data sets are
equal.)
Full data set
Children's cereal:
40.6 comma40.6,
58.3 comma58.3,
47 comma47,
42.6 comma42.6,
52.2...
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