Question

In: Statistics and Probability

1. True or False: Confidence intervals can only be calculated for means. True False SAVE 2....

1. True or False: Confidence intervals can only be calculated for means.

True

False

SAVE

2. Suppose a sample of 200 barrow-wights (wraith-like creatures that feed on the life force of the living) yields a sample mean of 6.2 living beings consumed per day. Assuming a standard error of 1.7, what would the upper bound of a 95% confidence interval be?

SAVE

3. Using the same ridiculous survey data from the previous question, what would the lower bound of a 95% confidence interval be?

SAVE

4. Finally, if you were to calculate a 99% confidence interval for the true mean number of living beings consumed by barrow-wights per day, would the width of the interval (i.e., the distance between the upper and lower bound) end up being greater or less than the width of the interval you calculated in Questions 3 and 4?

Solutions

Expert Solution

(1)

Correct option:

False

(2)

= 6.2

= 0.05

From Table, critical values of Z = 1.96

SE = 1.7

Upper bound = + Z SE

= 6.2 + (1.96 X 1.7)

= 6.2 + 3.332

= 9.532

So,

Answer is:

9.532

(3)

(2)

= 6.2

= 0.05

From Table, critical values of Z = 1.96

SE = 1.7

Lower bound = - Z SE

= 6.2 - (1.96 X 1.7)

= 6.2 - 3.332

= 2.868

So,

Answer is:

2.868

(4)

greater

EXPLANATION:

If you were to calculate a 99% confidence interval for the true mean number of living beings consumed by barrow - wights per day, the width of the interval (i.e., the distance between the upper and lower bound) end up being greater than the width of the interval you calculate in Question 3 and 4.

orchestra answered 1 year ago

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