H₂ True or False: When we say that we are 95% confident when interpreting 95% confidence intervals for we are saying that if we repeatedly take random samples of the same size from the same population and construct = 95% confidence interval for then 95% of the confidence intervals should include μl' μl.
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- Q4 . If we have a 95% confidence interval of (15, 20) for the number of hours that USF students work at a job outside of school every week, we can say with 95% confidence that the mean number of hours USF students work is not less than 15 and not more than 20. True FalseA certain counselor wants to compare mean IQ scores for two different social groups. A random sample of 14 IQ scores from group 1 showed a mean of 91 and a standard deviation of 17, while an independently chosen random sample of 13 IQ scores from group 2 showed a mean of 80 and a standard deviation of 16. Assuming that the populations of IQ scores are normally distributed for each of the groups and that the variances of these populations are equal, construct a 95% confidence interval for the difference u, -u, between the mean u, of IQ scores of group 1 and the mean u, of IQ scores of group 2. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit:| Upper limit:True or False: When using data from the same sample, the 95% confidence interval for µ will always support the results from a 2-sided, 1 sample t-test. Explain your reasoning.