# A laboratory tested 82 chicken eggs and found that

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15. A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 228 milligrams with σ =19.0 milligrams. Construct a 95% confidence interval for the true mean cholesterol content, μ , of all such eggs.
16. The critical value t α/ 2 that corresponds to a ________% confidence level with 1000 degrees of freedom is 2.33.
17. To be able to say with 95% confidence that the standard deviation of a data set is within 10% of the population's standard deviation, the number of observations within the data set must be greater than or equal to what quantity?
18. You want to be 95% confident that the sample standard deviation is within 40% of the population standard deviation. Find the appropriate minimum sample size.
19. In a study of the accuracy of fast food drive-through orders, Restaurant A had 300 accurate orders and 60 that were not accurate. a. Construct a 95% confidence interval estimate of the percentage of orders that are not accurate.
b. Compare the results from part (a) to this 95% confidence interval for the percentage of orders that are not accurate at Restaurant B: 0.141 < p <0.228. What do you conclude?
20. In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 321 trials, the touch therapists were correct 153 times. Complete parts (a) through (d). a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?