Question

Does where you live affect your insurance rate? The mean auto insurance rate for 29 drivers in a large city is $1,839 per car with a standard deviation of $315 while the mean rate for 23 drivers in a rural area is $1,648 with a standard deviation of $239. At α = 0.05, can we conclude that drivers in the large city pay higher insurance rates than those in the rural area, assuming the population variances are equal?

a. Calculate the test statistic. t=

Round to three decimal places if necessary

b. Determine the critical value(s) for the hypothesis test. +

Round to three decimal places if necessary

c. Conclude whether to reject the null hypothesis or not based on the test statistic

. Reject

Fail to Reject

Answer #1

Parents of teenage boys often complain that auto insurance costs
more, on average, for teenage boys than for teenage girls. A group
of concerned parents examines a random sample of insurance bills.
The mean annual cost for 36 teenage boys was $673. For 23 teenage
girls, it was $558. From past years, it is known that the
population standard deviation for each group is $180. Determine
whether or not you believe that the mean cost for auto insurance
for teenage...

According to a local insurance company, 23% of drivers aged 60 -
62 fail the written driver's test. With the conditions of the
Binomial distribution being satisfied if we had randomly picked 10
of the drivers from this age group, then find the following:
a) The probability that exactly 3 of the 10 drivers aged 60 - 62
fail the written driver's test. Round answer to 3 decimal
places.
b) The mean and the standard deviation of this Binomial
distribution....

A random sample of eight auto drivers insured with a
company and having similar auto insurance policies
was selected. The following table lists their driving experience
(in years) and the monthly auto insurance
premium (in dollars).
Driving Experience(years) 5 2 12 9 15 6 25 16
Monthly Premium(dollars) 64 87 50 71 44 56 42 60
Answer the following questions.
(a) Does the insurance premium depend on driving experience or does
the driving experience depend on
insurance premium? Do you...

Q1
The restaurant manager is testing the bartender's ability to
pour 45 mL of spirits correctly into a mixed drink. The manager has
the bartender pour water into 12 shot glasses to test their ability
to pour the correct amount of spirits:
48
45
44
43
46
47
42
46
47
45
47
49
Note: The data appears to be approximately normally
distributed.
Test the bartender's ability to pour 45 mL at the 5% level of
significance.
T-Distribution Table
a....

The GMAC Insurance company reported that the mean score on the
National Drivers Test was 78.9 with a standard deviation of 2.9
points. The test scores are approximately bell-shaped.
Approximately 68% of all test scores were between two values A and
B. What is the value of A? Write only a number as your answer.
Round to one decimal place.

Test the claim that the average weight of a new SUV is 1,940 kg,
if a sample of 301 vehicle weights results in a sample mean of
1,931 kg, with a standard deviation of 61.1 kg. Use a 2% level of
significance.
Standard Normal Distribution Table
a. Calculate the test statistic.
z=z=
Round to two decimal places if necessary
b. Determine the critical value(s) for the
hypothesis test.
+
Round to two decimal places if necessary
c. Conclude whether to...

he restaurant manager is testing the bartender's ability to pour
45 mL of spirits correctly into a mixed drink. The manager has the
bartender pour water into 12 shot glasses to test their ability to
pour the correct amount of spirits:
48
45
44
43
46
47
42
46
47
45
47
49
Note: The data appears to be approximately normally
distributed.
Test the bartender's ability to pour 45 mL at the 1% level of
significance.
T-Distribution Table
a. Calculate...

A laboratory claims that the mean sodium level, ? , of a healthy
adult is 141 mEq per liter of blood. To test this claim, a random
sample of 90 adult patients is evaluated. The mean sodium level for
the sample is 140 mEq per liter of blood. It is known that the
population standard deviation of adult sodium levels is 14 mEq. Can
we conclude, at the 0.05 level of significance, that the population
mean adult sodium level differs...

random sample of n1=17securities in Economy A produced mean
returns of x̄ 1=5.8% with s1=2.5% while another random sample of
n2=20 securities in Economy B produced mean returns of x̄ 2=4.6%
with s2=2.2%.. At α =0.1 , can we infer that the returns differ
significantly between the two economies?
Assume that the samples are independent and randomly selected
from normal populations with equal population variances ( σ
12= σ 22)
T-Distribution Table
________________________________________
a. Calculate the test statistic.
t=
Round...

A). Anystate Auto Insurance Company took a random sample of 358
insurance claims paid out during a 1-year period. The average claim
paid was $1555. Assume σ = $246.
Find a 0.90 confidence interval for the mean claim payment. (Round
your answers to two decimal places.)
lower limit
$
upper limit
$
Find a 0.99 confidence interval for the mean claim payment. (Round
your answers to two decimal places.)
lower limit
$
upper limit
$
B). Find z such that...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 11 minutes ago

asked 13 minutes ago

asked 16 minutes ago

asked 20 minutes ago

asked 26 minutes ago

asked 28 minutes ago

asked 40 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago