Question
In: Statistics and Probability
The following data represent the high-temperature distribution for a summer month in a city for some...
The following data represent the high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population. Complete parts (a) through (c).
Temperature (degrees F) Lower Limit
Upper Limit Days
50-59 50 59 1
60-69 60 69 307
70-79 70 79 1467
80-89 80 89 1514
90-99 90 99 455
100-109 100 109 7
(1a) Approximate the mean and standard deviation for temperature.
μ=_____degrees°F (Round to one decimal place as needed.)
σ=____degrees°F (Round to one decimal place as needed.)
(1b)
Is the distribution bell shaped?
A.
Yes, the frequency histogram of the data is bell shaped.
B.
No, the frequency histogram of the data is uniform.
C.
No, the frequency histogram of the data is skewed left.
D.
No, the frequency histogram of the data is skewed right.
(1c)
According to the Empirical Rule, 95% of days in the month will be between what two temperatures? ___degrees°F and ____degrees°F (Round to one decimal place as needed. Use ascending order.)
Solutions
orchestra answered 1 year agoRelated Solutions
The following data represent the high-temperature distribution for a summer month in a city for some...
The following data represent the high-temperature distribution
for a summer month in a city for some of the last 130 years. Treat
the data as a population. Complete parts (a) through (c).
Temperature : 50-59 60-69 70-79 80-89 90-99 100-109
Days: 5 303 1450 1516 438 8
(a) Approximate the mean and standard deviation for
temperature.
Mean = __________ (Round to one decimal place as needed.)
Standard Deviation = ___________ (Round to one decimal place as
needed.)
(b) Use the...
The following data represent the high-temperature distribution for a summer month in a city for some...
The following data represent the high-temperature distribution
for a summer month in a city for some of the last 130 years. Treat
the data as a population.
Temperature 50-59 60-69 70-79 80-89 90-99 100-109
Days 1 305 1469 1523 571 6
a.) Approximate the mean and standard deviation for
temperature.
Mean =
Standard Deviation =
b.) Use the frequency histogram of the data to verify that the
distribution is bell shaped.
- Yes, the frequency histogram...
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Can the consumption of water in a city be predicted by
temperature? The following data represent a sample of a day’s water
consumption and the high temperature for that day. Water Use
(millions of gallons) Temperature (degrees Fahrenheit) 219 103ο 56
39 107 77 129 78 68 50 184 96 150 90 112 75
a. Develop a least squares regression line to predict the amount
of water used in a day in a city by the high temperature for that...
1. The high temperature in Chicago for the month of August have a normal distribution with...
1. The high temperature in Chicago for the month of August have
a normal distribution with a mean μ= 80 F and a standard deviation
of σ= 8 F.
A. Using this distribution, what percent of days in August would
you expect to have a high temperature over 95 F?
B. What percentage of days would you expert the high temperature
to be between 85 and 95 F.?
C. What would be the high temperature required for a day to be...
dfgasdsgsf32414123435315 The following data show the cost of electricity (in RM) during a summer month for...
dfgasdsgsf32414123435315
The following data show the cost of electricity (in RM) during
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a large city.
17.5
33.7
31.9
21.7
19.1
19.6
20.9
39.7
36.5
21.7
29.7
19.9
33.2
35.7
20.7
27.8
32.8
19.7
14.5
27.2
15.7
15.2
23.6
24.2
26.8
21.6
13.9
42.5
14.7
35.1
a)Construct a frequency
distribution.
b)Using the result from part (i),
calculate the relative frequencies for each class.
c)Using the result from part...
The following data represent the probability distribution of the holding period returns for an investment in...
The following data represent the probability distribution of the
holding period returns for an investment in Lazy Rapids Kayaks
(LARK) stock. State of the Economy Scenario #(s) Probability, p(s)
HPR Boom 1 0.324 30.80% Normal growth 2 0.396 8.90% Recession 3
0.28 -18.00% a. What is the expected return on LARK? (Round your
answer to 2 decimal places.) Expected return % b. What is the
standard deviation of the returns on LARK? (Round your answer to 2
decimal places.) Standard...
The following data represent the probability distribution of the holding period returns for an investment in...
The following data represent the probability distribution of the
holding period returns for an investment in Lazy Rapids Kayaks
(LARK) stock.
State of the Economy
Scenario #(s)
Probability, p(s)
HPR
Boom
1
0.328
30.00%
Normal growth
2
0.402
9.40%
Recession
3
0.27
-18.30%
a. What is the expected return on LARK?
(Round your answer to 2 decimal places.)
Expected
return %
b. What is the standard deviation of the
returns on LARK? (Round your answer to 2 decimal
places.)
Standard deviation...
Suppose the average price of gasoline for a city during summer follows an uniform distribution with...
Suppose the average
price of gasoline for a city during summer follows an
uniform distribution with a lower bound of $3.50
per gallon and an upper bound of $3.80 per gallon? Show all
calculation with formula and interpret your result for each problem
to get full credit.
Compute the mean and standard deviation.
What is the probability a randomly chosen gas station charges
more than $3.70 per gallon?
What is the probability a randomly chosen gas station charges
less than...
A random sample of 18 summer days in Boise, ID, had an average high temperature of...
A random sample of 18 summer days in Boise, ID, had an
average high temperature of 87.76o F, with a standard
deviation of 10.81o F, while a random sample of 15
summer days in Duluth, MN, had an average high temperature of
70.73o F, with a standard deviation of 6.71o
F. Find a 99% confidence interval for the difference in the average
summer high temperatures between the two cities and explain what
the interval means.
Provide the difference between the...
Suppose the data represent the inches of rainfall in April for a certain city over the...
Suppose the data represent the inches of rainfall in April for a
certain city over the course of 20 years.
Determine the quartiles.
0.240.24
1.691.69
3.283.28
4.664.66
0.370.37
2.122.12
3.463.46
4.774.77
0.490.49
2.322.32
3.713.71
4.914.91
0.930.93
2.622.62
4.094.09
5.225.22
1.241.24
2.892.89
4.224.22
5.65
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