First grade children have heights that are normally distributed about a mean of 37 inches and a standard deviation of 2 inches.
A random sample of size 25 is taken and the mean is calculated. Find the probability that the mean value (X-bar) will be between 36.5 and 41.0 inches.
a. .894
b. .1088
c. .724
d. .0994
e. .223
a. .894
b. .1088
c. .724
d. .0994
e. .223
1 answer:
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Answer:
a. We get 56 heads out of 100 tosses.
We will use one sample proportion test
x = 56
n = 100
Formula of test statistic =
=
=
refer the z table for p value
p value = 0.8849
a. We get 560 heads out of 1000 tosses.
We will use one sample proportion test
x = 560
n = 1000
Formula of test statistic =
=
=
refer the z table for p value
p value = .000148
p value of part B is less than Part A because part B have 10 times the number the tosses.