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If A and B are mutually exclusive events, then P(A) + P(B) = 1. Number of ways t

ID: 3247142 • Letter: I

Question

If A and B are mutually exclusive events, then P(A) + P(B) = 1. Number of ways to choose a committee of 3 students from a class of 10 students where the order in which the 3 students are chosen is important: a. 120 b. 720 c. 10^2 d. None of the above A manager is interested in the average number of personal days that full-time employees in his company had. He randomly selected 30 full-time employees to collect the information. Determine the population and sample. a. The population is all employees (both full-time and part-time) in his company. The sample is 30 employees chosen. b. The population is the set of 30 employees chosen. The sample is the set of employees who had personal days. c. The population is the set of 30 employees chosen. d. The sample is the set of all full-time employees. d. The population is all full-time employees in his company. The sample is 30 employees chosen. Weight of a two-year-old boy is a discrete/continuous random variable. The central limit theorem guarantees that, as long as the sample size is large enough, the distribution of the population is approximately Normal. Increasing the sample size increases the width of the confidence interval. Decreasing the confidence level decreases the width of the confidence interval Use the information below to answer question 8 and 9: A class has 6 female students and 4 male students. Choose two students at random and with replacement. Given that the first student chosen is a female student, the probability that the 2^nd student chosen is female is a. 5/10 b. 5/9 c. 6/10 d. None of the above The probability that both chosen students are female is a. 3/10 b. 36/100 c. 1/3 d. None of the above A hypothesis test results in a P-value of 0.15 a. We would reject the null hypothesis at alpha = 0.05 but not at alpha = 0.01 b. We would reject the null hypothesis at both alpha = 0.05 and alpha = 0.01 c. We would fail to reject the null hypothesis at both alpha = 0.05 and at alpha = 0.01. d. None of the above

Explanation / Answer

1) true

The answer is p(a or b)= p(a)+p(b) =1

2) the answer is "a"

Reason is 10c3= 120

3)the answer is "d"

The reason is the company have full time employees which is consider under population . The randomly choosen 30 members(sample size) from the population

4) the answer is continues random variable.

The reason is a continuous variable is a variable whose value is obtained by measuring.

5)"true" the sample size is sufficiently large, then the sample means will have an approximately normal distribution

6)False. Increasing the sample size decreases the width of confidence intervals, because it decreases the standard error..

7)false False. Decreasing the sample size increases the width of confidence intervals, because it increases the standard error.