Question
In: Statistics and Probability
1. Suppose that the distribution of scores on an exam is mound shaped and approximately symmetric....
1. Suppose that the distribution of scores on an exam is mound shaped and approximately symmetric. The exam scores have a mean of 110 and the 16th percentile is 85.
a. What is the 84th percentile?
b. What is the approximate value of the standard deviation of exam scores?
c. What is the z-score for an exam score of 90?
d. What percentile corresponds to an exam score of 160?
e. Do you think there were many scores below 35? Explain
Since a score of 35 is _______ one standard deviation two standard deviations three standard deviations below the mean, that corresponds to a percentile of
___ %. Therefore, there were ______ few many scores below 35.
Solutions
orchestra answered 2 years agoRelated Solutions
Suppose that the distribution of scores on an exam is mound shaped and approximately symmetric. The...
Suppose that the distribution of scores on an exam is mound
shaped and approximately symmetric. The exam scores have a mean of
110 and the 16th percentile is 85. (Use the Empirical Rule.)
(a)
What is the 84th percentile?
(b)
What is the approximate value of the standard deviation of exam
scores?
(c)
What is the z-score for an exam score of 90?
(d)
What percentile corresponds to an exam score of 160?
%
(e)
Do you think there were...
The distribution of the heights of the first grade students is mound – shaped and symmetric...
The distribution of the heights of the first grade students is
mound – shaped and symmetric with the mean height of 140 cm and
standard deviation of 5 cm.
According Empirical rule
What % of heights is between 125 and 155 cm
What % of heights is between 135 and 150 cm
What % of heights is less than 130 cm
What % of heights is less than 130 cm
The distribution of ages of Oscar winning actors is roughly symmetric and mound shaped (in other...
The distribution of ages of Oscar winning actors is roughly
symmetric and mound shaped (in other words, the ages for Oscar
winning actors are normally distributed). The mean of this
distribution is 44 years and the standard deviation of this
distribution is 9 years.
The 68-95-99.7 Rule
Finding Percentiles
a.What percent of actors received the Oscar after the age of 70?
Draw the picture of the area that represents this probability. (You
will notice that it is a right-tailed area.)...
The distribution of ages of Oscar winning actresses is roughly symmetric and mound shaped (in other...
The distribution of ages of Oscar winning actresses is roughly
symmetric and mound shaped (in other words, the ages for Oscar
winning actresses are normally distributed). The mean of this
distribution is 36 years and the standard deviation of this
distribution is 11 years.In 2013, Jennifer Lawrence and Daniel
Day-Lewis won the Oscar for best leading actress and best leading
actor respectively. Jennifer Lawrence was 22 years old and Daniel
Day-Lewis was 55 years old
a.Which is more unusual –...
1. According to the empirical rule, for a distribution that is symmetric and bell-shaped, approximately _______...
1. According to the empirical rule, for a distribution that is
symmetric and bell-shaped, approximately _______ of the data values
will lie within 3 standard deviations on each side of the mean.
2. Assuming that the heights of boys in a high-school basket-
ball tournament are normally distributed with mean 70 inches and
standard deviation 2.5 inches, how many boys in a group of 40 are
expected to be taller than 75 inches?
3. Let x be a random variable...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample...
A random sample of 16 values is drawn from a mound-shaped and
symmetric distribution. The sample mean is 12 and the sample
standard deviation is 2. Use a level of significance of 0.05 to
conduct a two-tailed test of the claim that the population mean is
11.5.
(a) Is it appropriate to use a Student's t
distribution? Explain. (Choose one of 5 listed
below)
Yes, because the x distribution is mound-shaped and
symmetric and σ is unknown.
No, the x...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample...
A random sample of 16 values is drawn from a mound-shaped and
symmetric distribution. The sample mean is 8 and the sample
standard deviation is 2. Use a level of significance of 0.05 to
conduct a two-tailed test of the claim that the population mean is
7.5.
(a) Is it appropriate to use a Student's t
distribution? Explain.
Yes, because the x distribution is mound-shaped and
symmetric and σ is unknown.No, the x distribution
is skewed left.
No, the x...
A random sample of 25 values is drawn from a mound-shaped and symmetric distribution. The sample...
A random sample of 25 values is drawn from a mound-shaped and
symmetric distribution. The sample mean is 13 and the sample
standard deviation is 2. Use a level of significance of 0.05 to
conduct a two-tailed test of the claim that the population mean is
12.5.
(a) Is it appropriate to use a Student's t distribution?
Explain. Yes, because the x distribution is mound-shaped and
symmetric and σ is unknown. No, the x distribution is skewed left.
No, the...
Q1 A random sample of 36 values is drawn from a mound-shaped and symmetric distribution.
Q1)
A random sample of 36 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5.
(A) Is it appropriate to use a Student's t distribution? Explain.
a) Yes, because the x distribution is mound-shaped and symmetric and σ is unknown.
b) No, the x distribution is...
A random sample of 25 values is drawn from a mound-shaped and symmetric distribution. The sample...
A random sample of 25 values is drawn from a mound-shaped and
symmetric distribution. The sample mean is 9 and the sample
standard deviation is 2. Use a level of significance of 0.05 to
conduct a two-tailed test of the claim that the population mean is
8.5. (a) Is it appropriate to use a Student's t distribution?
Explain. Yes, because the x distribution is mound-shaped and
symmetric and σ is unknown. No, the x distribution is skewed left.
No, the...
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