Question

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

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

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The data below shows the pre and post test scores of a random sample of students...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT