3. Find the standardized test statistic z for the following situation: Claim: p
ID: 3224177 • Letter: 3
Question
3. Find the standardized test statistic z for the following situation: Claim: p 0.23; x = 52 n = 200 a. z = 0.97 b. z = 1.01 c. z = 0.51 d. z = –1.01
4. Use technology to find the Pvalue for the following test: H0: 20 Ha: > 20 s = 2.1 n = 16 a. 0.0128 b. 0.0257 c. 0.9872 d. 0.0066
20. State the null and alternative hypotheses. A student claims the mean cost of a textbook is at least $125. a. H0: > 125 Ha: 125 b. H0: < 125 Ha: 125 c. H0: 125 Ha: > 125 d. H0: 125 Ha: < 125
21. Find the critical value(s), t0, for a twotailed test, = 0.05, and n = 8. a. –t0 = –1.96 and t0 = 1.96 b. –t0 = –2.306 and t0 = 2.306 c. –t0 = –1.895 and t0 = 1.895 d. –t0 = –2.365 and t0 = 2.365
Select the answer closest to the specified areas for a N(0, 1) density.
5. The area to the left of z = –1.52 A) 0.064 B) 0.106 C) 0.936 D) 0.147
6. The area to the right of z = –0.47 A) 0.341 B) 0.77 C) 0.681 D) 0.319
7. The area between z = 0.51 and z = 2.79. A) 0.695 B) 0.302 C) 0.692 D) 0.997
8. The area outside of the interval z = 2.13 and z = 1.11. A) 0.133 B) 0.017 C) 0.85 D) 0.15
Use the following to answer questions 911: Find the endpoint(s) on a N(0, 1) density with the given property.
9. The area to the left of the endpoint is about 0.2. A) –2.054 B) 0.842 C) –0.842 D) 2.054
10. The area to the right of the endpoint is about 0.45. A) 0.126 B) 1.695 C) –1.695 D) –0.126
11. The area between z is about 0.99 A) 2.326 B) 2.225 C) 2.125 D) 2.575
12. Consider the notation of a normally distributed random variable with mean and standard deviation given. The area to the right of 12 on a N(9.4, 1.2) distribution. A) 0.985 B) 0.97 C) 0.03 D) 0.015
13. Consider the notation of a normally distributed random variable with mean and standard deviation given. The area between 43 and 100 on a N(75, 15) distribution. A) 0.984 B) 0.952 C) 0.936 D) 0.64
14. In a normal distribution, __ percentage of the area under the curve is within one standard deviations of the mean? a. 68% b. 100% c. 95% d. It depends on the values of the mean and standard deviation
15. A normal distribution with a mean of 15 and standard deviation of 5. 95% of its area is within__ a. One standard deviation of the mean b. Two standard deviations of the mean c. Three standard deviations of the mean d. It depends on the value of the mode
16. The mean of a standard normal distribution is: a. 0 b. 1.0 c. 1.0 d. 100
17. The standard deviation of the mean for a standard distribution is: a. 0.0 b. 1.0 c. 100 d. 68%
18. Consider a normal distribution with a mean of 25 and standard deviation of 4. Approximately, what proportion of the area lies between values of 17 and 33. a. 95% b. 68% c. 99% d. 50%
19. For a standard normal distribution, what’s the probability of getting a positive number? a. 50% b. 95% c. 68% d. We cannot tell from the given information
Explanation / Answer
3. Find the standardized test statistic z for the following situation: Claim: p 0.23; x = 52 n = 200 a. z = 0.97 b. z = 1.01 c. z = 0.51 d. z = –1.01
answer is B. Z=1.01
4. Use technology to find the Pvalue for the following test: H0: 20 Ha: > 20 s = 2.1 n = 16 a. 0.0128 b. 0.0257 c. 0.9872 d. 0.0066
ANSWER IS A.0.0128
20. State the null and alternative hypotheses. A student claims the mean cost of a textbook is at least $125. a. H0: > 125 Ha: 125 b. H0: < 125 Ha: 125 c. H0: 125 Ha: > 125 d. H0: 125 Ha: < 125
ANSWER IS
d. H0: 125 Ha: < 125
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