Find the maximum likelihood estimate for k . (The student's numbers are drawn from a discrete uniform distribution).

Explain why this statement is true: Suppose you take large repeated samples of a variable X (which is uniformly distributed). The distribution of the sample means will also be uniform. 

Select all that apply. We show that our sample statistics have (at minimum) a somewhat normal distribution because this allows us to use t and z critical values. this allows us to use t and z tables for probabilities. this tells us that our sampling is appropriate. normal distributions are cool and that's all we talk about in this class.

What is the test​ statistic?

About 71% 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 pq less than 63%? Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to The probability that the sample proportion surviving for at least 3 years will be less than 63% is (Round to four decimal places as needed.) More Clear All Final Check Help Me Solve This View an Example Get More Help - 4:51 PM 73°F Rain coming 4* 10/4/2021 O Type here to search 10/05/17 EGO PrtSc Insert Delete 口回 F10 F11 F12 F7 F8 F9 F6 Esc F2 F4 F5 F1 F3 & Backspace Num Lock 5 6 2 R T. Y U Home G K L Enter F H. J + |I LEGY P * 00 44 %#3 山

The assets (in billions of dollars) of the four wealthiest people in a particular country are 40, 29, 16, 13. Assume that samples of size n = 2 are randomly selected with replacement from this population of four values. a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined. Probability Probability X 40 34.5 29 28 26.5 (Type integers or fractions.) Save 4 X 22.5 21 16 14.5 13

Suppose that we have disjoint normal populations A and B with equal population variances. Suppose we plan a sample of size 4 from from population A and a sample of size 9 from population B which we will pool to form the pooled variance. If you know the population variances are both in fact equal to 6, what is the probability that the pooled variance of the two samples will turn out to be less than 8 given your information? .8 .2 .82 .18 NONE OF THE OTHERS

Roy and Jennie are looking for a company to help plan their wedding. Company A charges an amount based on the cost function, C=Vn+F, where C is the total cost, V is the variable cost, F is the fixed cost, and n is the number of people who attend the wedding. Suppose n is a random variable with a mean of 47 and a standard deviation of 8. Also V=40 and F=2500. (Round your answers to the nearest dollar.)  (a) What is the mean for the total cost? (b) What is the standard deviation for the total cost?

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