a. What is the z-score for 273 days?
b. What is the proportion that corresponds to 273 days?
c. What is the z-score for 288 days?
d. What is the proportion that corresponds to 288 days?
e. What proportion of pregnancies last between 273 to 288 days?
With the Central Limit Theorem, we need to know the average and standard deviation of a population and the average and size of a sample, x-bar and n, respectively. This gives us a z-score which corresponds to a proportion.
f. What is the z-score for 273 days for a sample where n = 8?
g. What is the proportion that corresponds to 273 days for a sample where n = 8?
h. What is the z-score for 288 days for a sample where n = 8?
i. What is the proportion that corresponds to 288 days for a sample where n = 8?
j. What proportion of pregnancies last between 273 to 288 days for a sample where n = 8?
Consider the following data set.
17, 19, 19, 18, 19, 19, 15, 20, 20, 20, 20, 14, 18, 20, 19, 20, 18, 19, 20, 16
Find the frequencies and relative frequencies for each value.
Answers in the comments.
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For pregnancies, assume mu_x = 280.6 days and sigma_x = 9.7 days.
a. What is the z-score for 273 days?
z = -7.6/9.7= -.78
b. What is the proportion that corresponds to 273 days?
-.78 corresponds to .2177
c. What is the z-score for 288 days?
z = 7.4/9.7 = .76
d. What is the proportion that corresponds to 288 days?
.76 corresponds to .7764
e. What proportion of pregnancies last between 273 to 288 days?
.7764 - .2177 = .5587
With the Central Limit Theorem, we need to know the average and standard deviation of a population and the average and size of a sample, x-bar and n, respectively. This gives us a z-score which corresponds to a proportion.
f. What is the z-score for 273 days for a sample where n = 8?
z = -7.6/9.7*sqrt(8)= -2.22
g. What is the proportion that corresponds to 273 days for a sample where n = 8?
-2.22 corresponds to .0132
h. What is the z-score for 288 days for a sample where n = 8?
z = 7.4/9.7*sqrt(8)= 2.16
i. What is the proportion that corresponds to 288 days for a sample where n = 8?
2.16 corresponds to .9846
j. What proportion of pregnancies last between 273 to 288 days for a sample where n = 8?
.9846 - .0132 = .9714
Consider the following data set.
17, 19, 19, 18, 19, 19, 15, 20, 20, 20, 20, 14, 18, 20, 19, 20, 18, 19, 20, 16
Find the frequencies and relative frequencies for each value.
f(20) = 7 | | | p-hat(20) = 35%
f(19) = 6 | | | p-hat(19) = 30%
f(18) = 3 | | | p-hat(18) = 15%
f(17) = 1 | | | p-hat(17) = 5%
f(16) = 1 | | | p-hat(16) = 5%
f(15) = 1 | | | p-hat(15) = 5%
f(14) = 1 | | | p-hat(14) = 5%
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