1. A random sample of 35 GMAT scores for applicants to an MBA program has a mean
ID: 2506059 • Letter: 1
Question
1. A random sample of 35 GMAT scores for applicants to an MBA program has a mean score of 479. The researcher is interested in finding evidence at the .05 level that the mean score of applicants to the program is lower than 500, the national average score. To answer the following questions, assume that the population standard deviation of GMAT scores is 90.
Which of the following pairs of hypotheses accurately reflects the question of interest?
H0: ? = 500 HA: ? ? 500
H0: ?2? 500 HA: ?2 < 500
H0: ??500 HA: ?<500
-2.695
4. What is the correct decision concerning the hypotheses given in #1?
5. Which of the following is true concerning the 90% confidence interval for the mean GMAT score of applicants to the program?
the interval smells like chicken fried steak
a. H0: ?=500 HA: ??500 b.H0: ? = 500 HA: ? ? 500
c. H0: p?0.45 HA: p<0.45 d.H0: ?2? 500 HA: ?2 < 500
e. e.
H0: ??500 HA: ?<500
2. Which of the following is the correct value of the test statistic? a. -1.742 b. -1.380 c. -2.288 d. -3.152 e.
-2.695
3. Which of the following correctly characterizes the p-value? a. p-value < .01 b. .01 < p-value < .05 c. .05 < p-value < .10 d. .10 < p-value < .20 e. p-value > .20
4. What is the correct decision concerning the hypotheses given in #1?
a. Reject H0 b. Do not Reject H0 c. Reject HA d. Do not Reject HA e. cannot decide, need more information5. Which of the following is true concerning the 90% confidence interval for the mean GMAT score of applicants to the program?
a. the entire interval is less than 500 b. the entire interval is greater than 500 c. the interval includes 500 d. cannot be determined e.the interval smells like chicken fried steak
Explanation / Answer
1) ans :e
H0: ??500 HA: ?<500
2) t=(479-500)/90/sqrt(35)
=-1.38
ans :b
3).ans :d)10 < p-value < .20
4) ans :b)
Do not Reject H0
5) ans :C
the interval includes 500
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