A population proportion is 0.5. Suppose a random sample of 658 items is sampled randomly from this population.

A direct mail company wishes to estimate the proportion of people on a large mailing list that will purchase a product. Suppose the true proportion is 0.06. If 224 are sampled, what is the probability that the sample proportion will be less than 0.05? Round your answer to four decimal places.

A population distribution has o =6. What position in this distribution is identified bya z-score = + 2.00?

Solve the last part  what is the source of variability in the random variable? B. The sample size was weing

About 79% of all female heart transplant patients will survive for at least 3 years. Eighty female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be less than 70%? Assume the sampling distribution of sample proportions is a normal distribution. pq The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to n The probability that the sample proportion surviving for at least 3 years will be less than 70% is| (Round to four decimal places as needed.)

Please answer number 2

In 1995, the median price of a PC was $1200. Suppose that a random sample of100 persons who bought their PCs during that year recorded the amount spent (byeach of them) on his/her PC. State the approximate sampling distribution of ˆp, theproportion of persons who spent more than $1200 on a PC. Find the probabilitythat more than 60% of this group spent more than $1200.   NOTE: Please explain each part, so the problem can be used as a Study Guide

Suppose you did an experiment with 3 groups and 16 subjects per group. The sample variances in the three groups were 14, 16, and 18. Using Tukey's test to compare the means, what would be the two-tailed probability for a comparison of the first mean (14) with the last mean (18)?

5. (Solve using pen and paper) Cans of salmon are supposed to have a net weight of 6 oz. The canner says that the net weight is a random variable with mean m=6.05 oz. and  stand. dev. s=.18 oz. Suppose you take a random sample of 36 cans and calculate the sample mean weight to be 5.97 oz. a. Find the probability that the mean weight of the sample is less than or equal to 5.97 oz.

Suppose a population distribution has a mean  = 150 and a standard deviation s = 30, and you draw a simple random sample of N = 100 cases. What is the probability that the mean is between 147 and 153?