Question

When it was first introduced as an antidepressant ten years ago,
the average patient with a

Prozac prescription was 32 years old. In a recent random sample of
20 prescription

holders, the average age was 25 with a standard deviation s = 10
years. Use this

information to answer the following.

If you wanted to determine if Prozac users are younger now on
average, which of

the following would be your null hypothesis?

A. ☐ = 25

B. ☐ = 32

C. ☐ = 7

D. ☐ < 32

E. ☐ 1-2 = 0

Which would be the logical alternative hypothesis?

A. ☐ > 25

B. ☐ 1 - 2 < 0

C. ☐ D =7

D. ☐ < 32

E. ☐ 32

If you assumed that the population of Prozac users had a normally
distributed age

distribution (because the sample is small), which of the following
would be your critical

value for determining whether to reject or not reject the null
using alpha = .10

A. ☐ 1.330

B. ☐ -1.729

C. ☐ -1.325

D. ☐ 1.328

E. ☐ -1.328

The t score you would calculate from your sample data would
be

A. ☐2.236

B. ☐ .70

C. ☐ .35

D. ☐ -2.236

E. ☐ -3.13

Forget the real calculated and critical t values for the moment.
For alpha=.10, what

is the probability that you would determine that Prozac users have
gotten younger when

in fact they have not.

A. ☐ .10 at most

B. ☐ .90

C.☐ it depends on how much younger they are

D.☐ 1-beta

E. ☐ it is large for small samples

What kind of mistake would you be making if you were to determine
that the average

age of Prozac users had not changed when in fact it had?

A. ☐ Type I

B. ☐ Type II

Again, forget the real values for a moment. What if you determined
that your p

value = .08782

A. ☐You would reject the null for alpha = .05 and determine that
the average age

may not have gone down

B. ☐ You accept the null for alpha =.10, and determine that the
average age may not

have changed

C. ☐ You would accept the null for alpha = .10 and determine that
the average has

gone down

D. ☐ You would reject the null for alpha = .05 and determine that
the average age has

gone down

E. ☐ You would reject the null for alpha = .10 and determine that
the average age has

gone down.

For your sample of 20, what t scores would you use to estimate a
95% confidence

interval for the current average age of Prozac users.

A. ☐ +/- 2.101

B. ☐ +/- 1.729

C.☐ +/- 1.75

D. ☐ +/- 2.093

E. ☐ none of the above

Answer #1

The data below shows the pre and post test scores of a random
sample of students who
took part in a memory enhancement seminar. The data records the
number of items
correctly recalled from a list of nonsense syllables and the
differences in the scores (D)
Pretest Post test D
Alice 5 10 -5
Bert 8 16 -8
Charlie 6 10 -4
David 10 20 -10
Emma 12 20 -8
If you wanted to determine if the seminar works to...

A gaming company would like to test the hypothesis that the
average age of someone who uses gaming console A is different from
the average age of someone who uses gaming console B. A random
sample of 36 gaming console A users had an average age of 34.2
years while a random sample of 30 gaming console B users had an
average age of 32.7 years. Assume that the population standard
deviation for the age of gaming console A and...

A gaming company would like to test the hypothesis that the
average age of someone who uses gaming console A is different from
the average age of someone who uses gaming console B. A random
sample of 36 gaming console A users had an average age of 34.2
years while a random sample of 30 gaming console B users had an
average age of 32.7 years. Assume that the population standard
deviation for the age of gaming console A and...

A group of Psychology students was interested in writing a paper
for their research class
concerning the difference between girls and boys and their
friendships. They determined
to study primary school aged children on the playgrounds of
schools. They hypothesized
that girls would pursue narrower, more intense friendship groups
than boys, that is, they
would interact with fewer other children than would the boys on
average. They selected
30 boys and 30 girls to watch at their schools. On average...

1. According to a recent report, 38% of adults wait
until they are 30 years of age or older to get
married for the first time. A researcher believes this claimed
value is too low. He gathers
data in order to test the hypotheses Ho: p = 0.38 vs. Ha: p >
0.38. In these hypotheses, what
does p represent?
A. The sample proportion
B. The population proportion
C. The p-value
D. The sample mean
E. The population mean
2....

Five years? ago, 10.3?% of high school students had tried
marijuana for the first time before the age of 13. A school
resource officer? (SRO) thinks that the proportion of high school
students who have tried marijuana for the first time before the age
of 13 has increased since then. ?(a) Determine the null and
alternative hypotheses. Which of the following is? correct? A.
Upper H 0?: pequals0.103?; Upper H 1?: pgreater than0.103 B. Upper
H 0?: pequals0.103?; Upper H...

Among a random sample of 37 smokers, the average number of
cigarettes smoked per day per person is 22.0 with a standard
deviation of 10.8. Perform a test of significance to determine if
it is likely that on average smokers will smoke more than 17
cigarettes a day.
a) H_0: mu (=, >, <, or not equal to) 17
H_a: mu (=, >, <, or not equal to) 17
b) Is the CLT for means valid? (yes/no)
c) Calculate the test statistic (use...

A random sample of 16 students selected from the student body of
a large university had an average age of 25 years and a standard
deviation of 2 years. We want to determine if the average age of
all the students at the university is significantly more than 24.
Assume the distribution of the population of ages is normal. Use α
= 0.01.
10. The test statistic is
a. 1.96
b. 2.00
c. 1.645
d. 0.05
11. The critical value...

A store owner claims the average age of her customers is 34
years. She took a survey of 36 randomly selected customers and
found the average age to be 37.5 years with a standard error of
2.534. Carry out a hypothesis test to determine if her claim is
valid.
(b) Find the test statistic: (Use 4
decimals.)
(c) What is the P-value? (Use 4 decimals.)
(d) What should the store owner conclude, for α = 0.05?
Reject the initial claim of 34...

1. A company claims that the average lifespan of a bicycle tire
that they manufacture is 1200 miles. You randomly and independently
collect a sample of 31 of these tires and find that the average
distance these tires lasted was 1125.7 miles, with a standard
deviation of 275 miles.
A 90% confidence interval for the population mean lifetime of
these tires is (1041.9, 1209.5).
Select all true statements.
a. The confidence interval indicates that the company's claim
that their tires...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 9 minutes ago

asked 15 minutes ago

asked 24 minutes ago

asked 26 minutes ago

asked 31 minutes ago

asked 33 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago