Question

A group of university students are interested in comparing the average age of cars owned by students and the average age of cars owned by faculty. They randomly selected 25 cars that are own by students and 20 cars that are owned by faculty. The average age and standard deviation obtained from the students’ cars are 6.78 years and 5.21 years, respectively. The sample of faculty cars produced a mean and a standard deviation of 5.86 years, and 2.72.

At α = 0.05, is there enough average to conclude that on average faculty cars are newer than students’ cars? Use the p-value method

Answer #1

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...

A student researcher compares the ages of cars owned by students
and cars owned by faculty at a local state college. A sample of 224
cars owned by students had an average age of 5.06 years. A sample
of 233 cars owned by faculty had an average age of 7.19 years.
Assume the standard deviation is known to be 3.42 years for age of
cars owned by students and 2.81 years for age of cars owned by
faculty. Determine the...

A student researcher compares the ages of cars owned
by students and cars owned by faculty at a local State College. A
sample of 98 cars owned by students had an average age of 8.39
years. A sample of 80 cars owned by faculty had an average age of
5.03 years. Assume that the population standard deviation for cars
owned by students is 2.93 years, while the population standard
deviation for cars owned by faculty is 3.42 years. Determine the...

Cars on Campus. Statistics students at a community college
wonder whether the cars belonging to students are, on average,
older than the cars belonging to faculty. They select a random
sample of 37 cars in the student parking lot and find the average
age to be 8.5 years with a standard deviation of 6 years. A random
sample of 32 cars in the faculty parking lot have an average age of
5.1 years with a standard deviation of 4.1 years....

#22
We are interested in comparing the average price of cars in 2015
and 2010. We are given the following data:
2010 2015
sample mean $29,217 $31,252
sample standard deviation $4,560 $3,942
Sample Size 30 22
Find the 95% confidence interval for the difference from 2015
and 2010.

A large university is interested in learning about the average
time it takes students to drive to campus. The university sampled
238 students and asked each to provide the amount of time they
spent traveling to campus. This variable, travel time, was then
used conduct a test of hypothesis. The goal was to determine if the
average travel time of all the university’s students differed from
20 minutes. Suppose the sample mean and sample standard deviation
were calculated to be...

The Department of Transportation would like to test the
hypothesis that the average age of cars on the road is less than 12
years. A random sample of 45 cars had an average age of 10.6 years.
It is believed that the population standard deviation for the age
of cars is 4.1 years. The Department of Transportation would like
to set alphaαequals=0.05.
The p-value for this hypothesis test would be ________. Round
to four decimal places.

At a local university, a sample of 49 evening students was
selected in order to determine whether the average age of the
evening students is significantly different from 21. The average
age of the students in the sample was 23 years. The population
standard deviation is known to be 3.5 years. Use a
0.05 level of significance (z 0.05= -1.64 and
z0.95 = 1.64). Show all four steps of the hypothesis testing. show
work by steps

A student advocacy group at a large western university was
interested in estimating the average rent ($) that off-campus
students pay per month. Five randomly selected, off-campus students
were chosen and their respective monthly rent liabilities were
recorded The raw data are found in Table 1. Let "x" denote the
monthly rent reported.
We want to find the standard deviation. The formula for standard
deviation is We will write out all the steps.
a. Fill in the missing table cells. Note...

A random sample of 16 students selected from the student body of
a large university had an average age of 25 years and a standard
deviation of 2 years. We want to determine if the average age of
all the students at the university is less than equal to or greater
than 24. Assume the distribution of the population of ages is
normal. Using α = .05, it can be concluded that the population mean
age is
not different than...

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