Multiple Choice Questions. Kindly select the correct answers. 1. The mean of the
ID: 2934086 • Letter: M
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Multiple Choice Questions. Kindly select the correct answers.
1. The mean of the sampling distribution of the sample mean is:
(a) the mean of the means of all possible samples of the same size taken from the population
(b) the mean of the frequency distribution of the population
(c) the mean of the means of all frequency distributions
(d) the mean of one sample
2. To apply the central limit theorem to the sampling distribution of the sample mean, the sample is considered to be large if:
(a) n is greater than 50
(b) n is 50 or larger
(c) n is larger than 40
(d) n is 30 or larger
3. The weights of all babies born at a hospital have a mean of 8.4 pounds and a standard deviation of 0.70 pounds. The mean of the sampling distribution of the mean weight of a sample of 49 babies born at this hospital is:
(a) 1.2 pounds
(b) 8.4 pounds
(c) 0.10 pounds
(d) 7.0 pounds
4. The number of elements in a sample with a specific characteristic divided by the total number of elements in the sample is called:
(a) the sample mean
(b) the sample proportion
(c) the sample distribution
(d) the sampling distribution
5. The value(s) assigned to a population parameter based on the value of a sample statistic is called:
(a) the probability
(b) a probability distribution
(c) a sampling distribution
(d) an estimate
6. The Z value for a 95% confidence interval for the population mean is:
(a) 2.07
(b) 1.96
(c) 2.17
(d) 1.65
7. A random sample of 100 customers who visited a department store spent an average of $77 at this store with a standard deviation of $19. The 97% confidence interval for the population mean is
(a) 74.56 to 79.44
(b) 70.18 to 83.82
(c) 73.89 to 80.11
(d) 72.88 to 81.12
8. A sample of 200 elements produced a sample proportion of 0.47. The applicable Z score used in calculating a 98% confidence interval for the population proportion is:
(a) 2.323
(b) 0.765
(c) 1.388
(d) 2.862
9. In a test of hypothesis, the Type II error occurs when:
a. a false null hypothesis is rejected
b. a true null hypothesis is not rejected
c. a false null hypothesis is not rejected
d. a true null hypothesis is rejected
10. A two-tailed test of hypothesis contains
(a) one rejection region and two non-rejection regions
(b) two rejection regions and one non-rejection region
(c) two rejection regions and two non-rejection regions
(d) one rejection region and one non-rejection regions
11. In a left-tailed test of hypothesis, the sign in the alternative hypothesis is
(a) not equal to ()
(b) greater than (>)
(c) less than (<)
(d) less than or equal to ()
12. In a test of hypothesis, the null hypothesis is that the population mean is equal to 80 and the alternative hypothesis is that the population mean is less than 80. A sample of 100 elements selected from this population produced a mean of 74 and a standard deviation of 12. The value of the test statistic is:
a. Z = 4.78
b. Z = 5.00
c. Z = -5.00
d. Z = -4.78
13. In a test of hypothesis, the null hypothesis is that the population mean is equal to 50 and the alternative hypothesis is that the population mean is greater than 50. The test is to be made at the 1% significance level. The critical value of Z is:
(a) 2.07
(b) 2.33
(c) -2.58
(d) -1.96
14. The p-value is:
(a) the largest significance level at which the null hypothesis can be rejected
(b) the largest significance level at which the alternative hypothesis can be rejected
(c) the smallest significance level at which the null hypothesis can be rejected
(d) the smallest significance level at which the alternative hypothesis can be rejected
15. For a one-tailed test, the p-value is given by:
(a) the area under the curve between the mean and the observed area of the sample statistic
(b) twice the area under the curve between the mean and the observed value of the sample statistic
(c) the area in the tail beyond the observed value of the sample statistic
(d) twice the area in the tail beyond the observed value of the sample statistic
16. For a two-tailed test, the p-value is given by:
(a) the area under the curve between the mean and the observed area of the sample statistic
(b) twice the area under the curve between the mean and the observed value of the sample statistic
(c) the area in the tail beyond the observed value of the sample statistic
(d) twice the area in the tail beyond the observed value of the sample statistic
Explanation / Answer
(According to Chegg policy, only four subquestions will be answered. Please post the remaining in another question)
1. The mean of the sampling distribution of the sample mean is:
(b) the mean of the frequency distribution of the population
2. To apply the central limit theorem to the sampling distribution of the sample mean, the sample is considered to be large if:
(d) n is 30 or larger
The value of 30 is taken as standard.
3. The weights of all babies born at a hospital have a mean of 8.4 pounds and a standard deviation of 0.70 pounds. The mean of the sampling distribution of the mean weight of a sample of 49 babies born at this hospital is:
(b) 8.4 pounds
The mean of the sampling distribution of the mean weight of a sample is the mean of the population.
4. The number of elements in a sample with a specific characteristic divided by the total number of elements in the sample is called:
(b) the sample proportion
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