Question

In your bid to be elected class representative, you have your election committee survey five randomly chosen students in your class and ask them to rank you on a scale of 0-10. Your rankings are 9, 6, 8, 8, 4. (a) Find the sample mean and standard deviation. (Round your answers to two decimal places.) HINT [See Example 1.] sample mean standard deviation (b) Assuming the sample mean and standard deviation are indicative of the class as a whole, in what range does the empirical rule predict that approximately 68% of the class will rank you? , What other assumptions must we make to use the rule? The population distribution is neither bell-shaped nor symmetric. The population distribution is symmetric, but not bell-shaped. The population distribution is bell-shaped, but not symmetric. The population distribution is bell-shaped and symmetric.

Answer #1

8. In a
statistics class, the average grade on the final examination was 75
with a standard deviation of 5.
a.
Use Chebyshev’s theorem to answer: At least what percentage of
the students received grades between 50 and 100?
b.
What is the z-score for a student who had an examination score
of 91?
c. Would the test score from part b., be
considered an outlier? Explain.
9. Assume we have a symmetric or bell shaped distribution. Using...

You work for a consumer watchdog publication and are testing the
advertising claims of a tire manufacturer. The manufacturer claims
that the life spans of the tires are normally distributed, with a
mean of 40,000 miles and a standard deviation of 40004000 miles.
You test 16 tires and get the following life spans. Complete parts
(a) through (c) below.
48,819 40,986 28,175 37,525 29,515 41,602 38,865 37,866
23,405 30,245 38,601 33,815 30,521 37,289 37,018 44,084
(a) Draw a frequency histogram...

In the 1992 presidential election, Alaska's 40 election
districts averaged 2057 votes per district for President Clinton.
The standard deviation was 588. (There are only 40 election
districts in Alaska.) The distribution of the votes per district
for President Clinton was bell-shaped. Let X = number of votes for
President Clinton for an election district. (Source: The World
Almanac and Book of Facts) Round all answers except part e. to 4
decimal places.
a. What is the distribution of X?...

1) Calculate the five-number summary of the given data. Use the
approximation method:
6,9,5,3,7,13,24,18,8,14,16,3,18,8
Enter answers in ascending order.
2) Consider the following data:
10,4,11,15,2,10,5,7
-Calculate the value of the sample variance, sample standard
deviation, and the range. Round your answers to one decimal
place.
3) Suppose that IQ scores have a bell shaped distribution with a
mean of 104 and a standard deviation of 14. Using the empirical
rule, what percentage of IQ scores are at least 90? Please...

Suppose that you are interested in estimating the average number
of miles per gallon of gasoline your car can get. You calculate the
miles per gallon for each of the next ten times you fill the tank.
Suppose that in truth, the values for your car are bell-shaped,
with a mean of 25 miles per gallon and a standard deviation of 1.
Find the possible sample means you are likely to get based on your
sample of ten observations. Consider...

In the 1992 presidential election, Alaska's 40 election
districts averaged 2157 votes per district for President Clinton.
The standard deviation was 570. (There are only 40 election
districts in Alaska.) The distribution of the votes per district
for President Clinton was bell-shaped. Let X = number of votes for
President Clinton for an election district. (Source: The World
Almanac and Book of Facts) Round all answers except part e. to 4
decimal places.
a. What is the distribution of X?...

How much do you typically pay, including tips, for a haircut? In
a survey of 50 students in her class, one of the authors found the
average amount paid for haircuts to be $45.68 and the standard
deviation to be $39.95. The data are not strongly skewed.
1. Explain how you know from the sample average and sample
standard deviation that the distribution of price of haircuts is
not bell-shaped.
A.The sample standard deviation is very large compared to the...

Expand Previous Next Check 0/1 ptRetries 3Reattempts 99 In the
1992 presidential election, Alaska's 40 election districts averaged
2164 votes per district for President Clinton. The standard
deviation was 580. (There are only 40 election districts in
Alaska.) The distribution of the votes per district for President
Clinton was bell-shaped. Let X = number of votes for President
Clinton for an election district. (Source: The World Almanac and
Book of Facts) Round all answers except part e. to 4 decimal...

In your own town, the number of individuals voting in the next
election is 800. Of those voting, 600 are Republicans. Assume the
probability of getting a Republican on each sampling stays the
same. If you randomly sample 60 individuals, one at a time, from
the voting population, calculate the following:
a) The normal distribution that the binomial distribution
approximates has a mean of:
b) The normal distribution that the binomial distribution
approximates has a standard deviation of:
c) What...

1.) Calculate both the sample and the population standard
deviations using the data below.
x
14
20
26
18
6
24
Please show the following answers to 1 decimal
place.
Sample Standard Deviation (ss) =
Population Standard Deviation (σσ) =
Notice the different!
2.) The highway mileage (mpg) for a sample of 9 different models
of a car company can be found below.
20
27
35
49
35
43
22
28
40
Find the mode:
Find the midrange:
Find the...

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