Question: Answer the following true or false questions, and explain why you thin

ID: 3153557 • Letter: Q

Question

Question: Answer the following true or false questions, and explain why you think so.

a. Confidence interval is the range of values we are sure will show that the true sample mean is same as the population mean.

b. Standard error is the mistake we make when we collect data, like incorrect data entry, and wrong measurements.

c. The Central Limit Theorem says that the distribution of the population is normal with mean (µ) and standard deviation (s).

d. A test of hypothesis with a z-score of 0.022 is not significant at = 0.01 level

e. Increasing the sample size makes the confidence interval much narrower.

f. A 90% confidence interval means that, there is a 90% chance that the population mean falls within the lower limit and the upper limit.

g. For small sample size and small sample proportion (), the distribution of the sample proportion () is normal.

h. The distribution of population mean is normal.

For large sample size (n larger than 1000), the t-distribution is same as the standard normal distribution (z-distribution).

The sampling distribution is the distribution of the sample means

a. Confidence interval is the range of values we are sure will show that the true sample mean is same as the population mean. FALSE.

Confidence interval is the range of values we are sure will show that the true population mean is within that interval.

c. The Central Limit Theorem says that the distribution of the population is normal with mean (µ) and standard deviation (s). FALSE.

The Central Limit Theorem says that the distribution of the population is normal with mean (µ) and standard deviation/root over n (s/root over n).

g. For small sample size and small sample proportion (), the distribution of the sample proportion () is normal.FALSE.

For small sample size and small sample proportion (), the distribution of the sample proportion () is binomial.

The sample size has to be greater than 30 for the distribution to be normal.

d. A test of hypothesis with a z-score of 0.022 is not significant at = 0.01 level.TRUe.

The critical values are +/-2.58, the test statistic does not fall in the critical region, thus the test is not significant.

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