For problems 6- 10 circle the best answer 6. You have measured the systolic bloo

Question

For problems 6- 10 circle the best answer 6. You have measured the systolic blood pressure of a r you. A 95% confidence interval for the mean systolic blood pressureof he confidence 138). Which of the following statements gives a valid interpretation of the confidence level? between 122 and 138. men systolic blood pressure for the employees ofthis company is (122, 95% of the sample of employees have b, 95%ofof the following star a 95% of the population ofemployees havea systolic blood pressure a systolic blood pressure between 122 and 138. ytimes, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure. d. mean systolic blood The probability that the population mean blood pressure is between 122 and 138 is .95 7. ence limits for the population mean are 73 and 80, which of the following could be the 95% If the 98% confi confidence limits? a. 73 and 81 b. 72 and 79 c. 72 and 81 d. 74 and 79 8, A 95% confidence interval for the mean reading achievement score for a population of third grade students is 2, 342, suppose you compute a 99% confidence interval using the same information which of the following statements is correct? a. The intervals have the same width. b. The 99% interval is longer. C. The 99% interval is shorter. d. None of the above. Which of the following confidence intervals will be the smallest? a, 80% b. 95% c, 90% d. 98% 9. 10. Which of the following best describes the shape of the sampling distribution of the sample proportion? a. When standardized, it is exactly the standard normal distribution. b. When standardized, it is the t distribution. c. It is approximately normal as long as n 230 d. It is approximately normal as long as np 10 and n(1-p)210.

Explanation / Answer

Question 6:

The correct interpretation of the given 95% confidence interval for the mean Blood pressure is that there is a 0.95 probability that the true mean blood pressure would lie in the given interval

Therefore d is the correct answer here.

Question 7:

Here we are given the 98% confidence interval as 73 and 80. Which means that the sample mean is given as:

Sample Mean = (73 + 80 )/ 2 = 76.5 that is the midpoint here.

Now clearly the 95% confidence interval should also have the same midpoint.

a) We see here the midpoint is (73 + 81 )/ 2= 77 therefore this is not correct

b) We see here the midpoint is (72 + 79 )/ 2= 75.5 therefore this is not correct

c) We see here the midpoint is (72 + 81 )/ 2= 76.5 therefore this could be correct

d) We see here the midpoint is (74 + 79 )/ 2= 76.5 therefore this is not correct

Now also we know that the 95% confidence interval width should be less than the 98% confidence interval width.

Therefore 72 and 81 cannot be the 95% confidence interval

Therefore d 74 and 79 is the correct answer here.

Question 8:

Higher the confidence interval higher is the width of the interval

Therefore b) the 99% interval is longer is the correct answer here.

Question 9:

Again using the same property as in previous problem. The lowest confidence level width would be the smallest.

Therefore a) 80% is the correct answer here.

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