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Suppose that the mean value of interpupillary distance (the distance between the pupils of the left and right eyes) for adult males is 65 mm and that the population standard deviation is 5 mm.
a. If the distribution of interpupillary distance is normal and a random sample of n = 25 adult males is to be selected, what is the probability that the sample mean distance x for these 25 will be between 64 and 67 mm? at least 68 mm?
b. Suppose that a random sample of 100 adult males is to be obtained. Without assuming that interpupillary distance is normally distributed, what is the approximate probability that the sample mean dis- tance will be between 64 and 67 mm? at least 68 mm?
Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 55 families will be between 17 & 18 pounds.
The main purpose of this exercise is to check your understanding of significance level, p-values and power .
paris arlines wants to estimate the average number of flights pet year for its crews. a quick pilot study found the
Standard deviation 13. in a random sample of 32 womrn aged 18-24, find the probability that the average systolic blood pressure is between 110 and 120 mm hg.
Based on past data, the Student Recreation Center knew that the proportion of students who prefer exercising outside over exercising in a gym was 0.734. To update their records, the SRC conducted a survey. Out of 95 students surveyed, 76 indicated..
Assuming the sample size of 40 can be considered as large, compute the confidence interval for a confidence level of 90%.
Suppose Abraham Lincoln had answered a survey questionnaire in which he indicated that he had not received a grade school diploma.
Assume that T has a t-distribution with 8 degrees of freedom. Find the following probabilities.
let x and y be independent geometric distributions. u minxy v x - ya show that u and v are independentb find the
Compute the pdf of continuous random variable Z where Z = X + Y and X is a continuous random variable uniformly distributed on [0, 2] and Y is a continuous random variable uniformly distributed on [0, 4]. Assume that X and Y are independent.
Suppose 5.9% of certain population use public transportation to get to work. You randomly select 380 workers and ask them if they use public transportation to get to work.
If 16 newborn babies are randomly selected, find the probability that their mean weight is greater than 3700 g. If 49 newborn babies are randomly selected, find the probability that their mean weight is between 3300 g and 3700 g.
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