Question
In: Statistics and Probability
In a recent publication, it was reported that the average highway gas mileage of tested models...
In a recent publication, it was reported that the average highway gas mileage of tested models of a new car was 33.2 mpg with a standard deviation of 2.5 mpg, with the mileages approximately normally distributed.
H0 :μ=33.2
Ha :μ<33.2
Part a: Describe a Type II error in the context of the
hypothesis test.
Part b: If a simple random sample of 100 cars is selected, what
values of the sample mean x ̄ would represent sufficient evidence
to reject the null hypothesis at significance level α = 0.05?
Part c: If the actual population average gas mileage is 32.8 mpg,
determine the probability of a Type II error if a simple random
sample of 100 cars is selected.
Part d: If the sample size were greater than 100 cars, what would happen to the probability in Part c? Explain your reasoning.
Solutions
orchestra answered 2 years agoRelated Solutions
In a recent publication, it was reported that the average highway gas mileage of tested models...
In a recent publication, it was reported that the average
highway gas mileage of tested models of a new car was 33.5 mpg. A
consumer group conducts its own tests on a simple random sample of
12 cars of this model and finds that the mean gas mileage for their
vehicles is 31.6 mpg with a standard deviation of 3.4 mpg.
a) Choose an appropriate significance test for the consumer
group to perform to test the publication's assertion.
b) The...
4. In a recent publication, it was reported that the average highway gas mileage of tested...
4. In a recent publication, it was reported that the average
highway gas mileage of tested models of a new car was 33.2 mpg with
a standard deviation of 2.5 mpg, with the mileages approximately
normally distributed.
H0 : µ = 33.2
Ha : µ < 33.2
Part a: Describe a Type II error in the context of the
hypothesis test.
Part b: If a simple random sample of 100 cars is selected, what
values of the sample mean ¯x...
4. In a recent publication, it was reported that the average highway gas mileage of tested...
4. In a recent publication, it was reported that the average
highway gas mileage of tested models of a new car was 33.2 mpg with
a standard deviation of 2.5 mpg, with the mileages approximately
normally distributed.
H0 : µ = 33.2
Ha : µ < 33.2
Part a: Describe a Type II error in the context of the
hypothesis test.
Part b: If a simple random sample of 100 cars is selected, what
values of the sample mean ¯x...
City Mileage, Highway Mileage. We expect a car's highway gas mileage to be related to its...
City Mileage, Highway Mileage. We expect a car's highway gas
mileage to be related to its city gas mileage (in miles per gallon,
mpg). Data for all 1137 vehicles in the government's 2013 Fuel
Economy Guide give the regression line
highway mpg = 6.785 + (1.033 x city mpg)
for predicting highway mileage from city mileage.
(a) What is the slope of this line? Say in words what the
numerical value of the slope tells you.
(b) What is the...
The highway mileage (mpg) for a sample of 8 different models of a car company can...
The highway mileage (mpg) for a sample of 8 different models of
a car company can be found below.
18, 20, 24, 26, 36, 29, 32, 36
Find the 5-number summary, check for any outliers, and use it to
create a boxplot.
The highway mileage (mpg) for a sample of 8 different models of a car company can...
The highway mileage (mpg) for a sample of 8 different models of
a car company can be found below. Find the mean, median, mode, and
standard deviation. Round to one decimal place as needed.
20, 23, 25, 28, 29, 31, 35, 35
Standard Deviation =
The highway mileage (mpg) for a sample of 8 different models of a car company can...
The highway mileage (mpg) for a sample of 8 different models of
a car company can be found below.
18, 21, 24, 26, 36, 30, 32, 36
Find the 5-number summary, check for any outliers, and use it to
create a boxplot.
Use the data below, showing a summary of highway gas mileage for several observations, to decide...
Use the data below, showing a summary of highway gas mileage for several observations, to decide if the average highway gas mileage is the same for midsize cars, SUV’s, and pickup trucks. Test the appropriate hypotheses at the α = 0.01 level.
n Mean Std. Dev.
Midsize 31 25.8 2.56
SUV’s 31 22.68 3.67
Pickups 14 21.29 2.76
The data below was collected from manufacturer advertisements of their vehicles horsepower and highway gas mileage...
The data below was collected from manufacturer advertisements of
their vehicles horsepower and highway gas mileage (mpg.). Use this
data to answer the following questions.
x
158
250
340
350
390
190
220
y
33
28
15
17
11
35
42
1. Find the the correlation coefficient. Round your final answer to
four decimal places.
r=r=
2. Write the regression equation below. Round all numbers to four
decimal places.
ˆy=y^=
3. Using the data shown above,predict the the highway gas...
The excel file gives the city and highway gas mileage for 21 two-seater cars, including the...
The excel file gives the city and highway gas mileage for 21
two-seater cars, including the Leaf hybrid car:
Type
City
Hwy
T
17
24
T
20
28
T
20
28
T
17
25
T
18
25
T
12
20
T
11
16
T
10
16
T
17
23
T
60
66
T
9
15
T
9
13
T
15
22
T
12
17
T
22
28
T
16
23
T
13
19
T
20
26
T
20
29
T...
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