a. What is the probability that Sammy, a two-year-old boy, will be at least 3 ft tall? Stain? b. What is the probability that, in a sample of 25 two-year-old boys, the mean height be less than 35 inches? nl nl

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3. According to the children's growth chart that doctors use as a reference, the heights of two-year-old boys
are nearly normally distributed with a mean of 34.5 inches and a standard deviation of 1.3 inches.
X =
a. What is the probability that Sammy, a two-year-old boy, will be at least 3 ft tall?
b. What is the probability that, in a sample of 25 two-year-old boys, the mean height
be less than 35 inches?
4. The weights of pears picked from an orchard are normally distributed with a mean of 5 oz
and a standard deviation of 1.5 oz.
X =
a. What is the probability that a sample of 50 randomly pears has a mean weight
between 4.5 oz and 5.25 oz?
nl
b. What is the probability that a pear picked from this orchard would weigh at least 7 oz?
nl
nl
20
Transcribed Image Text:3. According to the children's growth chart that doctors use as a reference, the heights of two-year-old boys are nearly normally distributed with a mean of 34.5 inches and a standard deviation of 1.3 inches. X = a. What is the probability that Sammy, a two-year-old boy, will be at least 3 ft tall? b. What is the probability that, in a sample of 25 two-year-old boys, the mean height be less than 35 inches? 4. The weights of pears picked from an orchard are normally distributed with a mean of 5 oz and a standard deviation of 1.5 oz. X = a. What is the probability that a sample of 50 randomly pears has a mean weight between 4.5 oz and 5.25 oz? nl b. What is the probability that a pear picked from this orchard would weigh at least 7 oz? nl nl 20
NAME:
1. The graph representing the ages for the population of
McDonald's employees is shown at the right. It has a
mean of 48.1 and a standard deviation of 12.3. Samples
of 20 employees are then taken from this population.
1. Take all possible
a. Describe how the sampling distribution for x for samples of size 20 would be obtained.
Fill in the blanks using the definition at the top of the sampling distribution info page in Topic 7.06. .
of McDonald's employees.
2. Find the
3. Put all of the
b. Find μ and o.
from
mpic
of size
of each sample.
ô distribution, n = 35, p = .12
values on a
Worksheet #7
Due
from the
2. a. What does the Central Limit Theorem tell you? Fill in the blanks.
The Central Limit Theorem says that a
approximately
regardless of the shape of the
and observe the distribution.
c. Would the x distribution be normal?
Why or why not? (consider licenses B and C)
rd are normally distributed with a mean of Soz
as long as the sample
X (ages)
weight
used is
b. Use the CLT to determine which of the following distributions would be normal. Assume all
populations are non-normal. On each one either explain your answer or show work to support it.
x distribution, n = 53
x distribution, n = 18
ô distribution, n = 28, p = .3
will be
2
Transcribed Image Text:NAME: 1. The graph representing the ages for the population of McDonald's employees is shown at the right. It has a mean of 48.1 and a standard deviation of 12.3. Samples of 20 employees are then taken from this population. 1. Take all possible a. Describe how the sampling distribution for x for samples of size 20 would be obtained. Fill in the blanks using the definition at the top of the sampling distribution info page in Topic 7.06. . of McDonald's employees. 2. Find the 3. Put all of the b. Find μ and o. from mpic of size of each sample. ô distribution, n = 35, p = .12 values on a Worksheet #7 Due from the 2. a. What does the Central Limit Theorem tell you? Fill in the blanks. The Central Limit Theorem says that a approximately regardless of the shape of the and observe the distribution. c. Would the x distribution be normal? Why or why not? (consider licenses B and C) rd are normally distributed with a mean of Soz as long as the sample X (ages) weight used is b. Use the CLT to determine which of the following distributions would be normal. Assume all populations are non-normal. On each one either explain your answer or show work to support it. x distribution, n = 53 x distribution, n = 18 ô distribution, n = 28, p = .3 will be 2
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