Consider a set of data in which the sample mean is 70.1 and the sample standard deviation is 3.2. Calculate the z-score given that x = 69,5. Round your answer to two 14. 69.5-70.1 0.06 3.7 decimal places. 3.2 Answer:

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11.
Suppose that IQ scores have a bell-shaped distribution with a mean of 105 and a
standard deviation of 15. Using the empirical rule, what percentage of IQ scores are
greater than 120? Please do not round your answer.
120 - 105
p(x >120)= P/
X-105
13
IS
15.86553 %
1-P (2SI
Answer:
12.
Given the following data, find the weight that represents the 31st percentile. - 0. 5
w6,15865
Weights of Newborn Babies
7.9 7.6 6.5
7.9
7.4
7.0
6.2 6.9 9.2
Çi2, 6.5, 6,5, 69,7.4,7:4, 7.6, 7.8.
7.8
6,5 7.9
8.5
74 7.0
8.2
0.31(16) 4.96
4th+ 0.4
6.9
6.9+0.96 ()
Answer:
100
13.
Calculate the standard score of the given x value, x = 59.4, where = 66.2, s =
3.6. Round your answer to two decimal places.
2: X-x 59.4 - 66.2
3.61
Z- -1,89
Answer: -1,89
Consider a set of data in which the sample mean is 70.1 and the sample standard
deviation is 3.2. Calculate the z-score given that x = 69,5. Round your answer to two
14.
decimal places.
69.5-70.1
-0.06
Answer:
3.2
3.2
O,1875
There are 239 identical plastic chips numbered 1 through 239 in a box.
15.
What is the probability of reaching into the box and randomly drawing the chip
numbered 171? Express your answer as a simplified fraction or a decimal rounded to
four decimal places.
Answer: O. 0042
239
0.0042
Transcribed Image Text:11. Suppose that IQ scores have a bell-shaped distribution with a mean of 105 and a standard deviation of 15. Using the empirical rule, what percentage of IQ scores are greater than 120? Please do not round your answer. 120 - 105 p(x >120)= P/ X-105 13 IS 15.86553 % 1-P (2SI Answer: 12. Given the following data, find the weight that represents the 31st percentile. - 0. 5 w6,15865 Weights of Newborn Babies 7.9 7.6 6.5 7.9 7.4 7.0 6.2 6.9 9.2 Çi2, 6.5, 6,5, 69,7.4,7:4, 7.6, 7.8. 7.8 6,5 7.9 8.5 74 7.0 8.2 0.31(16) 4.96 4th+ 0.4 6.9 6.9+0.96 () Answer: 100 13. Calculate the standard score of the given x value, x = 59.4, where = 66.2, s = 3.6. Round your answer to two decimal places. 2: X-x 59.4 - 66.2 3.61 Z- -1,89 Answer: -1,89 Consider a set of data in which the sample mean is 70.1 and the sample standard deviation is 3.2. Calculate the z-score given that x = 69,5. Round your answer to two 14. decimal places. 69.5-70.1 -0.06 Answer: 3.2 3.2 O,1875 There are 239 identical plastic chips numbered 1 through 239 in a box. 15. What is the probability of reaching into the box and randomly drawing the chip numbered 171? Express your answer as a simplified fraction or a decimal rounded to four decimal places. Answer: O. 0042 239 0.0042
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