Posted: December 10th, 2022

Is there evidence to suggest that the mean number of

In a study of memory recall, 5 people
were given 10 minutes to memorize a list of 20 words. Each was asked to list as
many of the words as he or she could remember both 1 hour and 24 hours later.
The result is shown in the following table.

Number of Words Recalled

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Subject

1 hour later

24 hours later

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Is there evidence to suggest that the mean number of words
recalled after 1 hour exceeds the mean recall after 24 hours?
Assume we want to use a 0.10 significance level to test the
claim.
(a) Identify the null hypothesis and the alternative
hypothesis.
(b) Determine the test statistic. Show all work; writing the
correct test statistic, without supporting work, will receive no credit.
(c) Determine the P-value for this test. Show all work;
writing the correct P-value, without supporting work, will receive no credit.
STAT 200: Introduction to Statistics Final Examination,
Spring 2016 OL4 Page 6 of 7
(d) Is there sufficient evidence to support the claim that
the mean number of words recalled after 1 hour exceeds the mean recall after 24
hours? Justify your conclusion.

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In a study designed to test the effectiveness of acupuncture
for treating migraine, 100 patients were randomly selected and treated with
acupuncture. After one-month treatment, the number of migraine attacks for the
group had a mean of 2 and standard deviation of 1.5. Construct a 95% confidence
interval estimate of the mean number of migraine attacks for people treated
with acupuncture. Show all work. Just the answer, without supporting work, will
receive no credit.

In a pulse rate research, a
simple random sample of 40 men results in a mean of 80 beats per minute, and a
standard deviation of 11.3 beats per minute. Based on the sample results, the
researcher concludes that the pulse rates of men have a standard deviation
greater than 10 beats per minutes. Use a 0.05 significance level to test the
researcher’s claim..
(a)
Identify the null hypothesis and alternative hypothesis.
(b)
Determine the test statistic. Show all work; writing the correct test
statistic, without supporting work, will receive no credit.
(c)Determine the P-value for this test. Show
all work; writing the correct P-value, without supporting work, will receive no
credit.
(d)Is
there sufficient evidence to support the researcher’s claim? Explain.

A survey showed that 80% of the 1600 adult respondents
believe in global warming. Construct a 95% confidence interval estimate of the
proportion of adults believing in global warming. Show all work. Just the
answer, without supporting work, will receive no credit.

A study of 10 different weight loss programs involved 500
subjects. Each of the 10 programs had 50 subjects in it. The subjects were followed
for 12 months. Weight change for each subject was recorded. Mimi wants to test
the claim that the mean weight loss is the same for the 10 programs.

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(a) Complete the following ANOVA table with sum of squares,
degrees of freedom, and mean square (Show all work):

Source of Variation

Sum of Squares
(SS)

Degrees of Freedom (df)

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Mean Square (MS)

Factor

Factor

Error
(Within)

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Total

1100.76

N/A

(b) Determine the test statistic. Show all work; writing the
correct test statistic, without supporting work, will receive no credit.
(c) Determine the P-value for this test. Show all work;
writing the correct P-value, without supporting work, will receive no credit.
(d) Is there sufficient evidence to support the claim that
the mean weight loss is the same for the 10 programs at the significance level
of 0.05? Explain.

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Assume the weights of men are normally distributed with a
mean of 172 lbs and a standard deviation of 30 lbs. Show all work. Just the
answer, without supporting work, will receive no credit.
(a) Find the 90th percentile for the distribution of men’s
weights.
(b) What is the probability that a randomly selected man
weighs more than 185 lbs?

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