True or false Questions. circle T for True and f for false The interquartile ran

Question

True or false Questions. circle T for True and f for false The interquartile range (IQR) is resistant to outliers 95% confidence interval of (135, 140) means that 95% of sample will produce sample means between(135, 140). Even if our ample data is skewood or has outliers, we can still use a t-distribution if our sample size is 15 when we reject H_0, we might unknowingly commit a type II error If we reject H_o at the 5% significance level, we will always reject H_o at the 1% significance level If events A and B are independent then the probability of event A cannot equal the probability of event B. (i.e. if mutually exclusive. P(A) P(B)) If a company sends an email to 1000 of its customers asking for their opinion on a recent product, they might encounter non-response bias. Suppose there are 12 adults and 10 kids in the audience of a certain show. The number of ways the host can select three persons from the audience to volunteer in which the choice must contain two kids and one adult is 540. If we divide the population into homogeneous groups and draw a separate random sample from each group, then we are using stratified sampling. For normally distributed random variable, a value that is 1 standard deviation greater than the mean is in the 84^th percentile.

Explanation / Answer

1. Interquartile range is a kind of range that avoids problems associated with Range, R by considering only middle 50% of the cases in the distribution. This is resistant to outliers and therefore, suitable as a measure of dispersion in skewed distribution. True.

2. One can be 95% confident that the average meanfor population in question is somewhere between 135 and 140. False.

3. For sample size less than 30 and population standard deviation is unknown, then only t distribution can be used. False.

4. Type II error is failure to reject a false null hypothesis. So when we already reject a null hypothesis, there is no question of Type II error. False.

5. If null hypothesis is rejected at 0.05 level, it is also rejected at 0.01 level.

6.

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