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When making a 95% confidence interval

by | Nov 29, 2023 | Posted Questions

  1. When making a 95% confidence interval, which is bigger: a t-value or a z-value?
  2. 1.they are equal
  3. 2.z-value
  4. 3.t-value
  5. 4.can’t tell

2 points

QUESTION 6

  1. Suppose a researcher, interested in obtaining an estimate of the average length of some enzyme in a certain human population, takes a sample of 10 individuals, determines the level of the enzyme in each, and computes a sample mean of X = 22. Suppose further it is known that the variable of interest is approximately normally distributed with a population standard deviation of ? = 6.7. Find the LOWER confidence limit in the 99% confidence interval for ?.
  2. 1.28.89
  3. 2.16.54
  4. 3.15.11
  5. 4.27.46

2 points

QUESTION 7

  1. A physical therapist wished to estimate, with 90 percent confidence, the mean maximal strength of a particular muscle in a certain group of individuals. He is willing to assume that strength scores are approximately normally distributed with a population standard deviation of ? = 12. A sample of 15 subjects who participated in the experiment yielded a mean of 84.3. Find the LOWER confidence limit.
  2. 1.78.87
  3. 2.79.2
  4. 3.89.4
  5. 4.78.84

2 points

QUESTION 8

  1. Suppose you are making a 99% confidence interval for ? with the following information: X = 20, ? = 2, n = 30. What is the appropriate z-value?
  2. 1.2.325
  3. 2.2.575
  4. 3.2.75
  5. 4.2.7564

2 points

QUESTION 9

  1. Suppose that you took a sample and derived that ( 1.6, 2.0 ) is a 95% confidence interval for ?. Later, you learn that ? = 1.8. What is the probability that ? is in your confidence interval?
  2. 1..95
  3. 2..5
  4. 3.1
  5. 4.0

2 points

QUESTION 10

  1. Suppose n = 100. Which confidence interval for ? (? is unknown) uses a t distribution with more degrees of freedom: a 95% confidence interval or a 99% confidence interval?
  2. 1.both confidence intervals have the same degrees of freedom
  3. 2.can’t tell
  4. 3.the 95% confidence interval
  5. 4.the 99% confidence interval
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