Question

Thirty randomly selected student cars have ages with a mean of
7.8years and a standard deviation of 3.4 years, while fifteen
randomly selected faculty cars have ages with a mean of 5.2 years
and a standard deviation of 3.7 years.

1. Use a 0.01 significance level to test the claim that student
cars are older than faculty cars, on average.

(a) State the null and alternative hypotheses. (Type
**mu1** for the population mean age of student cars,
and **mu2** for the population mean age of faculty
cars.)

H0 :

H1 :

(b) Find the rejection region.

Reject H0 if t>

(c) Find the test statistic. (Round your final answer to 2 decimal
places.)

t =

(d) Do these samples provide significant evidence that student cars
are older than faculty cars, on average? (Type:
**Yes** or **No** )

2. Construct a 99% confidence interval estimate of the difference
μ1−μ2, where μ1 is the mean age of student cars and μ2 is the mean
age of faculty cars. (Round your final answer to 2 decimal
places.)

( , )

Answer #1

Randomly selected 130 student cars have ages with a mean of 7.9
years and a standard deviation of 3.4 years, while randomly
selected 65 faculty cars have ages with a mean of 5.7 years and a
standard deviation of 3.3 years. 1. Use a 0.02 significance level
to test the claim that student cars are older than faculty cars.
The test statistic is The critical value is Is there sufficient
evidence to support the claim that student cars are older...

Randomly selected 2020 student cars (population 1) have ages
with a mean of 77 years and a standard deviation of 3.63.6 years,
while randomly selected 2222 faculty cars (population 2) have ages
with a mean of 55 years and a standard deviation of 3.73.7 years.
(For the purposes of this exercise, the two populations are assumed
to be normally distributed.)
1. Use a 0.030.03 significance level to
test the claim that student cars are older than faculty cars.
The test statistic...

Randomly selected 17 student cars have ages with a mean of 7
years and a standard deviation of 3.6 years, while randomly
selected 20 faculty cars have ages with a mean of 5.6 years and a
standard deviation of 3.7 years.
1. Use a 0.05 significance level to test the claim that student
cars are older than faculty cars.
(a) The test statistic is
(b) The critical value is
(c) Is there sufficient evidence to support the claim that
student...

Randomly selected 30 student cars have ages with a mean of 7
years and a standard deviation of 3.6 years, while randomly
selected 23 faculty cars have ages with a mean of 5.9 years and a
standard deviation of 3.5 years.
1. Use a 0.01 significance level to test the claim that student
cars are older than faculty cars.
(a) The test statistic is
(b) The critical value is
(c) Is there sufficient evidence to support the claim that
student...

Randomly selected 3131 student cars have ages with a mean of
7.37.3 years and a standard deviation of 3.43.4 years, while
randomly selected 2525 faculty cars have ages with a mean of 5.65.6
years and a standard deviation of 3.53.5 years.
1. Use a 0.050.05 significance level to test the claim that student
cars are older than faculty cars.
(a) The null hypothesis is H0:μs=μfH0:μs=μf. What is the
alternate hypothesis?
A. HA:μs>μfHA:μs>μf
B. HA:μs≠μfHA:μs≠μf
C. HA:μs<μfHA:μs<μf
(b) The test statistic...

(1 point) Randomly selected 14 student cars have ages with a
mean of 8 years and a standard deviation of 3.6 years, while
randomly selected 19 faculty cars have ages with a mean of 6 years
and a standard deviation of 3.3 years. 1. Use a 0.01 significance
level to test the claim that student cars are older than faculty
cars. (a) The test statistic is (b) The critical value is (c) Is
there sufficient evidence to support the claim...

A sample of 17 randomly selected student cars have ages with a
mean of 7.8 years and a standard deviation of 3.6 years, while a
sample of 22 randomly selected faculty cars have ages with a mean
of 5.6 years and a standard deviation of 3.3 years.
1. Use a 0.05 significance level to test the claim that student
cars are older than faculty cars.
(a) The test statistic is 1.9619
(b) The critical value is 1.688
(c) Is there...

A sample of 17 randomly selected student cars have ages with a
mean of 7.8 years and a standard deviation of 3.63 years, while a
sample of 22 randomly selected faculty cars have ages with a mean
of 5.6 years and a standard deviation of 3.3 years.
1. Use a 0.05 significance level to test the claim that student
cars are older than faculty cars.
(a) The test statistic is
(b) The critical value is
(c) Is there sufficient evidence...

(1 point) Randomly selected 28 student cars have ages with a
mean of 7.3 years and a standard deviation of 3.6 years, while
randomly selected 17 faculty cars have ages with a mean of 5.5
years and a standard deviation of 3.3 years. 1. Use a 0.05
significance level to test the claim that student cars are older
than faculty cars.
(a) The test statistic is _______?
(b) The critical value is _______ ?
(c) Is there sufficient evidence to...

A student researcher compares the ages of cars owned by students
and cars owned by faculty at a local state college. A sample of
8484 cars owned by students had an average age of 5.78 years. A
sample of 118 cars owned by faculty had an average age of 5.79
years. Assume that the population standard deviation for cars owned
by students is 2.39 years, while the population standard deviation
for cars owned by faculty is 3.27 years. Determine the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 9 minutes ago

asked 15 minutes ago

asked 20 minutes ago

asked 30 minutes ago

asked 37 minutes ago

asked 42 minutes ago

asked 42 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago