Suppose you are a marine biologist studying a particular species of whales. The average length of this whale species is 60 feet and the standard deviation is 12 feet. The average length of whales in Normally distributed. 15. You find one member of this particular species of whales and measure it to find its length is 48 feet. What is the z-score corresponding to the length of this whale? a) 2 b) -2 c) -1.0 d) 1.0 16. What is the probability you find a whale smaller than the one referred to in the previous question? a) .8413 b).1587 c) 4801 d) - 4801 17. You find old research on this species of whales that only reports the z-scores of lengths and not the actual lengths of whales. One particular whale stands out to you because it has a z-score of 5.2. What does the z-score tell you? a) This whales is much larger than the mean. b) This whale is much smaller than the mean c) The whale is an average length d) Not enough information is given. 18. Which of the following is a true statement? (Assume that the first quartile and minimum for this data set are not equal.) a) the IQR is always bigger than the range for a given data set. b) the IQR is always smaller than the range. c) the IQR is equal to the range. d) this cannot be determined from the given information. 19. Which of the following is not true about normal curves? a) They all have mean 0. b) They are all symmetric. c) The area underneath the curve is equal to 1. d) They are all bell shaped. 20. What is the biggest advantage of the standard deviation over the variance? a) The standard deviation is always smaller than the variance. b) The standard deviation is calculated with the median instead of the mean. c) The standard deviation is better for describing skewed distributions.

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Suppose you are a marine biologist studying a particular species of whales. The average
length of this whale species is 60 feet and the standard deviation is 12 feet. The average
length of whales in Normally distributed.
15. You find one member of this particular species of whales and measure it to find its
length is 48 feet. What is the z-score corresponding to the length of this whale?
a) 2
b) -2
c) -1.0
d) 1.0
16. What is the probability you find a whale smaller than the one referred to in the
previous question?
a) .8413
b).1587
c) 4801
d) - 4801
17. You find old research on this species of whales that only reports the z-scores of
lengths and not the actual lengths of whales. One particular whale stands out to you
because it has a z-score of 5.2. What does the z-score tell you?
a) This whales is much larger than the mean.
b) This whale is much smaller than the mean
c) The whale is an average length
d) Not enough information is given.
18. Which of the following is a true statement? (Assume that the first quartile and
minimum for this data set are not equal.)
a) the IQR is always bigger than the range for a given data set.
b) the IQR is always smaller than the range.
c) the IQR is equal to the range.
d) this cannot be determined from the given information.
19. Which of the following is not true about normal curves?
a) They all have mean 0.
b) They are all symmetric.
c) The area underneath the curve is equal to 1.
d) They are all bell shaped.
20. What is the biggest advantage of the standard deviation over the variance?
a) The standard deviation is always smaller than the variance.
b) The standard deviation is calculated with the median instead of the mean.
c) The standard deviation is better for describing skewed distributions.
Transcribed Image Text:Suppose you are a marine biologist studying a particular species of whales. The average length of this whale species is 60 feet and the standard deviation is 12 feet. The average length of whales in Normally distributed. 15. You find one member of this particular species of whales and measure it to find its length is 48 feet. What is the z-score corresponding to the length of this whale? a) 2 b) -2 c) -1.0 d) 1.0 16. What is the probability you find a whale smaller than the one referred to in the previous question? a) .8413 b).1587 c) 4801 d) - 4801 17. You find old research on this species of whales that only reports the z-scores of lengths and not the actual lengths of whales. One particular whale stands out to you because it has a z-score of 5.2. What does the z-score tell you? a) This whales is much larger than the mean. b) This whale is much smaller than the mean c) The whale is an average length d) Not enough information is given. 18. Which of the following is a true statement? (Assume that the first quartile and minimum for this data set are not equal.) a) the IQR is always bigger than the range for a given data set. b) the IQR is always smaller than the range. c) the IQR is equal to the range. d) this cannot be determined from the given information. 19. Which of the following is not true about normal curves? a) They all have mean 0. b) They are all symmetric. c) The area underneath the curve is equal to 1. d) They are all bell shaped. 20. What is the biggest advantage of the standard deviation over the variance? a) The standard deviation is always smaller than the variance. b) The standard deviation is calculated with the median instead of the mean. c) The standard deviation is better for describing skewed distributions.
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if the whale is 48 feet is it an outlier?

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