(See Solution) Answer the following true-false questions: True or False Only a normal distribution has a bell-shaped curve. b) The Student t distribution takes
Question: Answer the following true-false questions:
| True or False | ||
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Only a normal distribution has a bell-shaped curve. | |
| b) | The Student t distribution takes different values for a different sample size. | |
| c) | The Central Limit Theorem states that if the original population is normally distributed, the sample means will be normally distributed for any sample size n (even if n < 30). | |
| d) | According to the Central Limit Theorem, if the original population has mean = 30 and standard deviation = 12, then the standard deviation of the sample means of all possible random samples of size 36 is 2 | |
| e) | A 99% confidence interval is always better than a 95% confidence interval because one can be more confident about the population mean. | |
| f) | If (population standard deviation) is not available, we can always use s (sample standard deviation) to construct a confidence interval. | |
| g) | A 95% confidence interval of 98.08 < < 98.32 means that there is a probability of 2.5% that the real will exceed 98.32. | |
| h) | If the margin for sampling error is small, then the value of must be large. | |
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According to the Chebyshev's rule, for any data set, regardless of shape, 75 percent of values can be found within distances of 2 standard deviations from the means. | |
| j) | The normal distribution has its interquartile range (IQR) equal to 1.33 standard deviations. |
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