Question

2. I have a distribution of data that is skewed left with a
mean of 50 and a standard deviation of 15. I take 5000 samples each
of size 11 from this data set. Then the sampling distribution of
sample means will have:

a) Mean = _______ b) Standard deviation = _____________ c)
What shape distribution= _______

3. The mean length of time it takes for a broken arm to heal
is normally distributed with a mean of 44 days and a standard
deviation of 7 days.

a) Find the probability one person with a broken arm will heal
in over 38 days?

b) Find the probability from a sample of 45 people with broken
arms that the average time for the sample of 45 to heal is over 38
days?

c) Why is your answer for part b) greater than the answer for
part a)?

d) Give an example of an interval that could have been used in
parts a) and b) so that the answer for b) is less than the answer
for a)?

Answer #1

2. We have given that a distribution of data that is skewed left .

5000 samples each of size 11 from this data set

So n=11

The sampling distribution of the mean approaches a
**normal** **distribution** as
**sample** **size** (**n**)
**increases**.

Then the sampling distribution of sample means will have:

a) Mean = = 50

b) Standard deviation =

= 4.52

c) Shape of the distribution would be **Normal** or
bell shape.

Home prices in a certain community have a distribution that is
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standard deviation of $25,200.
a. Suppose we take a random sample of 30 homes in this
community. What is the probability that the mean of this sample is
between $500,000 and $510,000?
b. Suppose we take a random sample of 10 homes in this
community. Can we find the approximate probability that the mean of
the sample...

Home prices in a certain community have a distribution that is
skewed right. The mean of the home prices is $498,000 with a
standard deviation of $25,200.
a. Suppose we take a random sample of 30 homes in this
community. What is the probability that the mean of this sample is
between $500,000 and $510,000?
b. Suppose we take a random sample of 10 homes in this
community. Can we find the approximate probability that the mean of
the sample...

The distribution of college students’ commute time is skewed to
the right with the mean 20 minutes and the standard deviation 30
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1. Let X¯ be the sample mean commute time of a random sample of
9 students. What are (i) the mean and (ii) variance of X¯? (iii) Is
the distribution of X¯ normal? (iv) Why or why not?
2. Let X¯ 100 be the sample mean commute time of a random sample
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The times that college students spend studying per week have a
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standard deviation of 2.2 hours. Find the probability that the mean
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The time it takes broken bones of a given size and type to heal
is normally distributed. A random sample of 17 simple arm breaks
occurring in people in their twenties took an average of 50 days to
heal with a standard deviation of 5 days.
A) Find a 95% confidence interval for the healing time for all
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B) Find a 95% confidence interval for the population variance
and standard deviation

The time it takes broken bones of a given size & type to
heal is normally distributed . A random sample of 17 simple arm
breaks occurring in people in their twenties took and average of 50
days to heal with a standard deviation of 5 days.) a) Find a 95%
confidence interval (ci) for the healing time for all broken bones
of this type b) Find a 95% (CI) for the population variance and
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The final exam grade of a mathematics class has a skewed
distribution with mean of 78 and standard deviation of 7.2. If a
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Lifetimes of a certain brand of lightbulbs is known to follow a
right-skewed distribution with mean 24 months and standard
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the sample mean corresponding to a sample of size 1500 from this
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Select one:
a. Approximately Normal with a mean of 24 months and a standard
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b. Right-skewed with a mean of approx. 24 months and a standard...

A
grocery store’s reciepts show that Sunday customer purchases have a
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-Multiple choice-
1.) Explain why you cannot determime the probability that the
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a.) The probability can only be determimed if the point is
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Having this information:
Arm length data
Male Mean: 75.002 Standard deviation: 3.414
Female Mean: 68.l578 Standard deviation: 3.821
answer the following questions:
1.What is the probability that a woman will have an arm length
above the male mean arm length? What proportion of women that
should have longer arms than the male mean?
2. Give the proportion of men that should have shorter arms than
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3.Sketch the curve and the shaded regions that illustrates the
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