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Statistics and Probability: Comprehensive Assignment on Hypothesis Testing, Confidence Intervals, and Distribution Analysis

Covers hypothesis testing, confidence intervals, and probability distribution analysis.

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    Statistics and Probability: Comprehensive Assignment on Hypothesis Testing, Confidence Intervals, and Distribution Analysis 1. If n=15 and p=0.4, then the standard deviation of the binomial distribution is 3.6. (Ch6) (Points : 8) True False Question 2. 2. If the level of confidence and sample size remain the same, a confidence interval for a population proportion p will be narrower when p(1 - p) is larger than when it is smaller. (Ch9) (Points : 8) True False Question 3. 3. In a simple linear regression model, the coefficient of determination not only indicates the strength of the relationship between independent and dependent variable, but also shows whether the relationship is positive or negative. (Ch13) (Points : 8) True False Question 4. 4. The sample standard deviation s is an unbiased estimator of the population standard deviation. (Ch8) (Points : 8) True False Question 5. 5. If the random variable of x is normally distributed, 68.26% of all possible observed values of x will be within two standard deviations of the mean. (Ch7)

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    (Points : 8) True False Question 6. 6. If n=20 and p=.4, then the mean of the binomial distribution is 8 (Ch6) (Points : 8) True False Question 7. 7. First a confidence interval is constructed without using the finite population correction factor. Then, for the same identical data, a confidence interval is constructed using the finite population correction factor. The width of the interval with the finite population correction factor is wider than the confidence interval without the finite population correction factor. (Ch9) (Points : 8) True False Question 8. 8. The power of a statistical test is the probability of rejecting the null hypothesis when it is true. (Ch10) (Points : 8) True False Question 9. 9. The sampling distribution of the sample mean is developed by repeatedly taking samples of size n and computing the sample means and reporting the resulting sample means in the form of a probability distribution. (Ch8) (Points : 8) True False

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    Question 10. 10. For a continuous distribution, the exact probability of a particular value is always zero. (Ch7) (Points : 8) True False Question 11. 11. As the level of significance  increases, we are more likely to reject the null hypothesis. (Ch10) (Points : 8) True False Question 12. 12. If events A and B are mutually exclusive, then P(A|B) is always equal to zero. (Ch5) (Points : 8) True False Question 13. 13. If p=.9 and n=40, then we can conclude that the sampling distribution of the proportions is approximately a normal distribution. (Ch8) (Points : 8) True False Question 14. 14. The standard deviation of the sampling distribution of the sample mean is the same as the population standard deviation. (Ch8) (Points : 8) True False Question 15. 15. If events A and B are mutually exclusive, then P(A and B) is always

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