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 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 =
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...
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...
A sample of 35 cars of a certain kind had an average mileage of
36.2 mpg. Assuming that mileage is approximately normally
distributed with standard deviation 4 mpg, test the hypothesis that
the average mileage for all cars of this type is no less than 34.2
mpg at the 0.01 significance level. Give the value of p
you find to two decimal places, and choose the correct
conclusion:
p=
The weight of a car can influence the mileage that the car can
obtain. A random sample of 20 cars was taken and the weight (in
pounds) and mileage (in mpg) were recorded and are in the table
below.
X, weight
Y, mileage
4000
23.1
4500
17.2
4500
19.5
2250
53.3
2750
46.9
3500
31.3
4500
17
4000
23.6
2750
36.3
3000
31.5
3000
31.4
3000
32.2
4000
23.4
2500
40.9
3000
31.4
3500
31.3
3500
32.6
3000
32.2
2250...
The weight of a car can influence the mileage that the car can
obtain. A random sample of 20 cars’ weights and mileage is
collected. The table for the weight and mileage of the cars is
given below. Use Excel to find the best fit linear regression
equation, where weight is the explanatory variable. Round the slope
and intercept to three decimal places.
Weight Mileage
30.0 32.2
20.0 56.0
20.0 46.2
45.0 19.5
40.0 23.6
45.0 16.7
25.0 42.2
55.0 ...
The manufacturer claims that your new car gets 33 mpg on the
highway. You suspect that the mpg is more for your car. The 42
trips on the highway that you took averaged 35 mpg and the standard
deviation for these 42 trips was 6 mpg. What can be concluded at
the αα = 0.01 level of significance?
For this study, we should use Select an answer t-test for a
population mean z-test for a population proportion
The null and...
The manufacturer claims that your new car gets 32 mpg on the
highway. You suspect that the mpg is less for your car. The 64
trips on the highway that you took averaged 31.4 mpg and the
standard deviation for these 64 trips was 8.9 mpg. What can be
concluded at the αα = 0.01 level of significance?
For this study, we should use Select an answer t-test for a
population mean z-test for a population proportion
The null and...
The manufacturer claims that your new car gets 31 mpg on the
highway. You suspect that the mpg is a different number for your
car. The 40 trips on the highway that you took averaged 28.7 mpg
and the standard deviation for these 40 trips was 5.8 mpg. What can
be concluded at the α α = 0.01 level of significance? a.For this
study, we should use Select an answer z-test for a population
proportion t-test for a population mean...