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

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Statistics and Probability: Comprehensive Assignment on Hypothesis Testing, Confidence Intervals,and Distribution Analysis1.If n=15 and p=0.4, then the standard deviation of the binomial distribution is3.6. (Ch6)(Points : 8)TrueFalseQuestion 2.2.If the level of confidence and sample size remain the same, aconfidence interval for a population proportion p will be narrower whenp(1-p)islarger than when itis smaller. (Ch9)(Points : 8)TrueFalseQuestion 3.3.In a simple linear regression model, the coefficient of determinationnot only indicates the strength of the relationship between independent anddependent variable, but also showswhether the relationship is positive ornegative. (Ch13)(Points : 8)TrueFalseQuestion 4.4.The sample standard deviation s is an unbiased estimator of thepopulation standard deviation. (Ch8)(Points : 8)TrueFalseQuestion 5.5.If the random variable of x is normally distributed, 68.26% of allpossible observed values of x will be within two standard deviations of the mean.(Ch7)

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(Points : 8)TrueFalseQuestion 6.6.If n=20 and p=.4, then the mean of the binomial distribution is 8 (Ch6)(Points : 8)TrueFalseQuestion 7.7.First a confidence interval is constructed without using the finitepopulation correction factor. Then, for the same identical data, a confidenceinterval is constructed using the finite population correction factor. The width ofthe interval with the finite population correction factor is wider than the confidenceinterval without the finite population correction factor. (Ch9)(Points : 8)TrueFalseQuestion 8.8.The power of a statistical test is the probability of rejecting the nullhypothesis when it is true. (Ch10)(Points : 8)TrueFalseQuestion 9.9.The sampling distribution of the sample mean is developed byrepeatedly taking samples of size n and computing the sample means andreporting the resulting sample means in the form of aprobability distribution.(Ch8)(Points : 8)TrueFalse

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Question 10.10.For a continuous distribution, the exact probability of a particularvalue is always zero. (Ch7)(Points : 8)TrueFalseQuestion 11.11.As the level of significanceincreases, we are more likely to rejectthe null hypothesis. (Ch10)(Points : 8)TrueFalseQuestion 12.12.If events A and B are mutually exclusive, then P(A|B) is always equalto zero. (Ch5)(Points : 8)TrueFalseQuestion 13.13.If p=.9 and n=40, then we can conclude that the samplingdistribution ofthe proportionsis approximately a normal distribution. (Ch8)(Points: 8)TrueFalseQuestion 14.14.The standard deviation of the sampling distribution of the samplemean is the same as the population standard deviation. (Ch8)(Points : 8)TrueFalseQuestion 15.15.If events A and B are mutually exclusive, then P(A and B) is always

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