Question

A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally distributed. At αs=0.05 , can you conclude that the new cereal lowers total blood cholesterol levels?

Before |
After |

205 | 203 |

220 | 215 |

235 | 240 |

240 | 239 |

245 | 242 |

270 | 268 |

220 | 218 |

μd=μ1−μ2.Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereal be population 2. Identify the null and alternative hypotheses, where

Calculate the standardized test statistic.

Calculate the P-value.

State the conclusion.

Answer #1

The statistical software output for this problem is;

Hence,

Standardized test statistic = 1.219

P - value = 0.1344

Conclusion: Since p - value is greater than 0.05, we fail to reject Ho. Hence,

There is not enough evidence to support the claim that the new cereal lowers total blood cholesterol levels.

A food manufacturer claims that eating its new cereal as part of
a daily diet lowers total blood cholesterol levels. The table shows
the total blood cholesterol levels (in milligrams per deciliter of
blood) of seven patients before eating the cereal and after one
year of eating the cereal as part of their diets. Use technology to
test the mean difference. Assume the samples are random and
dependent, and the population is normally distributed. At αs=0.05 ,
can you conclude...

A food manufacturer claims that eating its new cereal as part of
a daily diet lowers total blood cholesterol levels. The table shows
the total blood cholesterol levels (in milligrams per deciliter
of blood) of seven patients before eating the cereal and after one
year of eating the cereal as part of their diets. Use technology to
test the mean difference. Assume the samples are random and
dependent, and the population is normally distributed. At α=0.05,
can you conclude that...

A food manufacturer claims that eating its new cereal as part of
a daily diet lowers total blood cholesterol levels. The table shows
the total blood cholesterol levels (in milligrams per deciliter
of blood) of seven patients before eating the cereal and after one
year of eating the cereal as part of their diets. Use technology to
test the mean difference. Assume the samples are random and
dependent, and the population is normally distributed. At
alphaequals0.05, can you conclude that...

Can someone please explain the last three parts of this
question parts 7-9.
A cholesterol level over 200 is considered high. The
manufacturers of a certain brand of cereal are interested in
whether eating their cereal for breakfast daily will result in a
decrease in cholesterol levels for people with high cholesterol.
They randomly select ten people with high cholesterol to
participate in the study. Each subject eats the cereal every
morning for a month. The cholesterol levels of each...

High Cholesterol: A group of eight individuals with high
cholesterol levels were given a new drug that was designed to lower
cholesterol levels. Cholesterol levels, in milligrams per
deciliter, were measured before and after treatment for each
individual, with the following results: Individual Before After 1
253 202 2 237 213 3 282 184 4 276 205 5 246 179 6 258 209 7 293 181
8 276 187 Send data to Excel Part: 0 / 20 of 2 Parts...

A pharmaceutical company claims that its new drug reduces
systolic blood pressure. The systolic blood pressure (in
millimeters of mercury) for nine patients before taking the new
drug and 22 hours after taking the drug are shown in the table
below. Is there enough evidence to support the company's claim?
Let d=(blood pressure before taking new drug)−(blood pressure
after taking new drug). Use a significance level of α=0.01 for the
test. Assume that the systolic blood pressure levels are normally...

Pat.#
Before
After
1
195
125
To the left is 2 datasets measured for
a sample of 107 patients with the high cholesterol level before and
after taking medication. Obtain the following for both sets:
2
208
164
3
254
152
1- the mean, mode and median
4
226
144
5
290
212
2- the variance and standard
deviation
6
239
171
7
216
164
3- First, second and third
quartiles
8
286
200
9
243
190
10
217
130...

Researchers in a 2015 study by Flannery et al. sought to
estimate the effectiveness of the seasonal influenza vaccine in
preventing acute respiratory infection (ARI). A total of 507
subjects from Texas who showed symptoms of ARI were recruited for
this study. The data provided show the result of each subject's
test for influenza.
Click to download the data in your preferred format.
CrunchIt! CSV Excel
JMP Mac-Text Minitab
PC-Text R ...

Your firm works in construction and buys ASTM A325M8S bolts in
very large numbers. You are interested in purchasing bolts from
different suppliers and have obtained and tested samples of 200
bolts from three suppliers: Allnutt, Boltzman, Coachers.You have
tested these in your new bolt testing machine, purchased after you
had discovered your old bolt testing machine was performing
erratically. (For the purposes of this question, you are safe to
assume that the new machine works perfectly and that its...

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