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1. A random sample of n=100 observations is selected from a population with mean equal to 40 and standard deviation equal to 16.
a. Give the mean and standard deviation of the sampling distribution
b. Describe the shape of the sampling distribution
c. Find P(25< ,48)
Use statistical software to calculate the mean, median, mode, variance, and standard deviation for the ungrouped frequency distribution and to prepare.
Jolie takes 45 minutes to do her statistics homework. If the mean is 38 minutes and the standard deviation is 3, calculate Jolie's z score. Once calculated, interpret your findings in terms of Jolie's performance.
Compute Pearson's r between the life satisfaction variable and the family income variable in Table 1. Test the r for statistical significance, and draw conclusions about the meaning of the test.
a. What is the sample regression equation? b. Interpret the slope coefficients.
Suppose the coin is in fact loaded so that its probability of landing heads is .60. What is the power of this test? (Hint: calculate the probability of rejecting H0 when p = .60.) What is your probability of making a Type II error
The algorithms in Figures 4.8 and 4.11 compute First(α) and Follow(A). (a) Modify the algorithm in Figure 4.8 to compute Firstk(α).
a) Calculate the 90% confidence interval on the estimated sample mean. b) Calculate the 99% confidence interval. Why is this interval larger? c) Explain why this confidence interval would shrink if your sample size was 100 (there are two reasons).
Refer to the following experiment: Urn A contains four white and six black balls. Urn B contains three white and five black balls.
a. Explain the difference between a deterministic and a probabilistic model.
Let X1,..., Xn be a random sample from a population with the mean μ. What condition must be imposed on the constants c1, c2,..., cn so that c1X1 + c2X2 + ··· + cnXn is an unbiased estimator of μ?
you are trying to estimate the number of csn students with iphones. a random sample of 130 students reveals that 65 of
consider a hypothesis test on a mean of a normally distributed population where the hypothesis are h0 mean10. h1 mean
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