Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is design to increase the likelihood that each baby will be a girl. But assume that the method has no effect, so the probability of a girl is 0.5 assume that the groups consist of 40 couples. Find the value of the mean

Yoonie is a personnel manager in a large corporation. Each month she must review  10  of the employees. From past experience, she has found that the reviews take her approximately  4  hours each to do with a population standard deviation of  1.1  hours. Let  X  be the random variable representing the time it takes her to complete one review. Assume  X  is normally distributed. Let  X¯¯¯  be the random variable representing the mean time to complete the  10  reviews. Assume that the  10  reviews represent a random set of reviews. (a) What is the mean, standard deviation, and sample size? Mean = Standard Deviation = Sample Size = (b) Complete the distributions. Round all decimals to four decimal places. X∼ ( Number, Number)   X¯¯¯∼ ( Number, Number)

To become an actuary, it is necessary to pass a series of 10 exams, including the most important one, an exam in probability and statistics. An insurance company wants to estimate the mean score on this exam for actuarial students who have enrolled in a special study program. They take a sample of 8 actuarial students in this program and find the mean of the sample is 6.0 with standard deviation of the sample 2.0. This sample will be used to calculate a 95% confidence interval for the mean score for actuarial students in the special study program. A 95% confidence interval for the mean score of actuarial students in the special program is from ________ to ________.   Question 17 options:   1)  3.52 to 8.47   2)  4.69 to 7.31   3)  4.66 to 7.34   4)  4.33 to 7.67

Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?