(2 points) In the Central Limit Theorem for sample means, which is true (circle
ID: 3047050 • Letter: #
Question
(2 points) In the Central Limit Theorem for sample means, which is true (circle one)? a. You must have a sample of size 30 or more when the population that is being sampled is normally distributed The distribution of sample means will be skewed The standard deviation of the sampling distribution (the standard error) will have a value less than the standard deviation of the population that is being sampled The mean of the sampling distribution will have a value less than the mean of the population that is being sampled b. c. d. (2 points) In the Central Limit Theorem for sample proportions, which is true (circle one)? a, The theorem requires a sample size of n 2 30 b The sample proportions will be normally distributed c. The mean of the distribution of sample proportions can be any value greater than zero d. The standard error can be any value greater than zero (2 points) Suppose the standard error for a sampling distribution of sample means equals 7 when the population that the sample was taken from has a standard deviation equal to 42. Then the sample size is (circle one): 6: b. G. d. 36 49 Cannot be determined from the information given (2 points) When constructing a Confidence Interval to estimate a population proportion (T), the value of the sample proportion (p) is located (circle one): At the center of the Confidence Interval b. Possibly anywhere within the Confidence Interval, you cannot determine exactly where c. At an end of the Confidence Interva d. Outside of the Confidence Interval (2 points) Suppose in a test of hypothesis, -005 when the p-value of the test statistic:006. Then you should: Reject the null hypothesis Not reject the null hypothesis Not make a decision until you also compare the value of the test statistic to the value critical statistic Not make a decision because the two values are too close together b. c. d.Explanation / Answer
Solution1:
according to central limit theorem
you must have a sample of size 30 or more when the population that is being sampeld is normally distribbuted.
n>=30
for large samples
Solution2:
sample proportions will be normally distributed
Solution3:
SE=7
sd/sqrt(n)=7
42/sqrt(n)=7
sqrt(n)=42/7
sqrt(n)=6
squaring on both sides
n=36
SAMPLE SIZE=36
OPTION B
Solution4:
at the MIDDLE of confidence interval
OPTION A
Solution5:
alpha=0.05
p=0.06
p>alpha
Accept Null hypothesis
OPTION B NOT REJECT NULL HYPOTHESIS
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.