Question

A consumer group is investigating a producer of diet meals to examine if their prepackaged meals actually contain the advertised 6 ounces of protein in each package. 5.1 4.9 6.0 5.1 5.7 5.5 4.9 6.1 6.0 5.8 5.2 4.8 4.7 4.2 4.9 5.5 5.6 5.8 6.0 6.1

Run a test to determine if there any evidence that the meal do not contain the advertised amount of protein. Run an appropriate test at 5% level of significance.

Answer #1

SHOW ALL WORK. DO NOT USE SOFTWARE TO GENERATE ANSWERS.
Calculate the R-chart and X-bar chart limits for the data given
below.
Day
A
B
C
D
1
7.2
8.4
7.9
4.9
2
5.6
8.7
3.3
4.2
3
5.5
7.3
3.2
6.0
4
4.4
8.0
5.4
7.4
5
9.7
4.6
4.8
5.8
6
8.3
8.9
9.1
6.2
7
4.7
6.6
5.3
5.8
8
8.8
5.5
8.4
6.9
9
5.7
4.7
4.1
4.6
10
3.7
4.0
3.0
5.2
11
2.6
3.9...

To test whether alcohol has an effect on reaction time, 10
subjects were given reaction-tests on two different days. Each
subject drank a glass of liquid containing alcohol before one of
the two tests and a glass of liquid not containing alcohol before
the other one. The order of presentation was randomised
independently for each subject. The reaction times in 1/10 second
are given in the table below.
Subject
1
2
3
4
5
6
7
8
9
10
With...

We wish to determine the impact of Specification Buying, X11, on
Satisfaction Level, X10. To do so we will split the Hatco data file
into two separate data sets based on the Specification Buying, X11.
This variable has two categories:
1=employs total value analysis approach, evaluating each
purchase separately;
0 = use of specification buying.
Sort the entire Hatco data set based on Specification Buying.
This will create two separate groups of records. Those records with
X11 = 0 and...

1. The following data represent petal lengths (in cm) for
independent random samples of two species of Iris.
Petal length (in cm) of Iris virginica:
x1; n1 = 35
5.1
5.9
6.1
6.1
5.1
5.5
5.3
5.5
6.9
5.0
4.9
6.0
4.8
6.1
5.6
5.1
5.6
4.8
5.4
5.1
5.1
5.9
5.2
5.7
5.4
4.5
6.4
5.3
5.5
6.7
5.7
4.9
4.8
5.9
5.1
Petal length (in cm) of Iris setosa:
x2; n2 = 38
1.5
1.9
1.4
1.5
1.5...

Use the data in Bank Dataset to answer this question.
Construct a 95% confidence interval for the mean increase in
deposits. Note that the population standard deviation σ is not
known in this case. Instead the sample standard deviation s should
be calculated from the sample and the t distribution should be
used.
2. What is the margin of error at the 95% confidence level?
Bank Dataset of Increase in deposits. Mean is 4. Sample size is
152 customers.
4.3...

(Raw Data, Software Required):
Here we consider a small study on the sleep habits of med students
and non-med students. The study consists of the hours of sleep per
night obtained from 30 non-med students and 25med students. The
sample data is given in the table below. Test the claim that, on
average, the mean hours of sleep for all med students is different
from that for non-med students. Test this claim at the 0.01
significance level.
(a) The claim...

The following data represent petal lengths (in cm) for
independent random samples of two species of Iris. Petal length (in
cm) of Iris virginica: x1; n1 = 35 5.0 5.7 6.2 6.1 5.1 5.5 5.3 5.5
6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.1 5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4
4.5 6.4 5.3 5.5 6.7 5.7 4.9 4.8 5.8 5.2 Petal length (in cm) of
Iris setosa: x2; n2 = 38 1.6 1.6 1.4 1.5 1.5 1.6...

The following data represent petal lengths (in cm) for
independent random samples of two species of Iris.
Petal length (in cm) of Iris virginica: x1; n1
= 35
5.1 5.5 6.2 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.1 5.6
4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4 4.5 6.4 5.3 5.5 6.7 5.7 4.9 4.8 5.8
5.1
Petal length (in cm) of Iris setosa: x2; n2
= 38
1.4 1.6 1.4 1.5 1.5 1.6...

An important statistical measurement in service facilities (such
as restaurants and banks) is the variability in service times. As
an experiment, two bank tellers were observed, and the service
times for each of 100 customers were recorded. Do these data allow
us to infer at the 5% significance level that the variance in
service times differs between the two tellers? Estimate with 95%
confidence the ratio of variances of the two bank tellers. Teller 1
Teller 2 7.2 10.9 5.4...

The following data represent petal lengths (in cm) for
independent random samples of two species of Iris.
Petal length (in cm) of Iris virginica:
x1; n1 = 35
5.3
5.9
6.5
6.1
5.1
5.5
5.3
5.5
6.9
5.0
4.9
6.0
4.8
6.1
5.6
5.1
5.6
4.8
5.4
5.1
5.1
5.9
5.2
5.7
5.4
4.5
6.4
5.3
5.5
6.7
5.7
4.9
4.8
5.7
5.2
Petal length (in cm) of Iris setosa:
x2; n2 = 38
1.6
1.9
1.4
1.5
1.5
1.6...

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