Question

*For each exercise, perform these steps. Assume that all
variables are normally or approximately normally
distributed.*

*a*.State the
hypotheses and identify the claim.

*b*.Find the
critical value(s) or use the *P*-value method.

*c*.Compute
the test value.

*d*.Make the
decision.

*e*.Summarize
the results.

*Use the traditional method of hypothesis testing unless the
P-value method is specified by your instructor.*

5.Teachers’ Salaries A random sample of 15 teachers from Rhode
Island has an average salary of $35,270, with a standard deviation
of $3256. A random sample of 30 teachers from New York has an
average salary of $29,512, with a standard deviation of $1432. Is
there a significant difference in teachers’ salaries between the
two states? Use α = 0.02. Find the 98% confidence interval for the
difference of the two means. **Use P Value Method. Please
show your work/do by hand**

**Answer:** **5. H_{0}:
μ_{1} = μ_{2} and
H_{1}: μ_{1} ≠
μ_{2} (claim); C.V. = ±2.624; d.f. = 14;
t = 6.540; reject. Yes, there is enough evidence to
support the claim that there is a difference in the teachers’
salaries. $3447.80 < μ_{1} –
μ_{2} < $8068.20 P <
0.0001**

Answer #1

In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom d.f. not in the
Student's t table, use the closest d.f. that is smaller. In some
situations, this choice of d.f. may increase the P-value by a small
amount and therefore produce a slightly more "conservative" answer.
Are America's top chief executive officers (CEOs) really worth all
that money? One way to answer this question is to look at row B,
the annual...

In this problem, assume that the distribution of differences is
approximately normal. Note: For degrees of freedom
d.f. not in the Student's t table, use
the closest d.f. that is smaller. In
some situations, this choice of d.f. may increase
the P-value by a small amount and therefore produce a
slightly more "conservative" answer.
Are America's top chief executive officers (CEOs) really worth all
that money? One way to answer this question is to look at row
B, the annual...

Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Use
either the traditional method or P-value method as indicated.
Identify the null and alternative hypotheses, test statistic,
critical value(s) or P-value (or range of P-values) as appropriate
and state the conclusion that addresses the original claim.
2) A light-bulb manufacturer advertises that the average life
for its light bulbs is 900 hours. A random sample of 15 of its
light...

Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Use
either the traditional method or P-value method as indicated.
Identify the null and alternative hypotheses, test statistic,
critical value(s) or P-value (or range of P-values) as appropriate,
and state the final conclusion that addresses the original claim. A
test of sobriety involves measuring the subject's motor skills.
Twenty randomly selected sober subjects take the test and produce a
mean score...

Assume that a simple random sample has been selected from a
normally distributed population and test the given claim.
Use either the traditional method or P –value method as
indicated. Identify the null and alternative hypotheses, test
statistic, critical value(s) or P -value, and state the final
conclusion that addresses the original claim. A researcher wants to
test the claim that convicted burglars on average of 18.7 months in
jail. She takes a random sample of 11 such casas from...

An electrical firm manufactures light bulbs that have a lifetime
that is approximately normally distributed with a mean of 800 hours
and a standard deviation of 40 hours. Test the claim, at the 0.05
level of significance, if a random sample of 30 bulbs has an
average life of 790 hours. Also, Find P-value

Test the given claim. Assume that a simple random sample is
selected from a normally distributed population. Use either the
P-value method or the traditional method of testing hypotheses.
Company A uses a new production method to manufacture aircraft
altimeters. A simple random sample of new altimeters resulted in
errors listed below. Use a 0.05 level of significance to test the
claim that the new production method has errors with a standard
deviation greater than 32.2 ft, which was the...

Test the given claim. Assume that a simple random sample is
selected from a normally distributed population. Use either the
P-value method or the traditional method of testing hypotheses.
Company A uses a new production method to manufacture aircraft
altimeters. A simple random sample of new altimeters resulted in
errors listed below. Use a 0.05 level of significance to test the
claim that the new production method has errors with a standard
deviation greater than 32.2 ft, which was the...

Assume that a simple random sample has been selected from a
normally distributed population and test the given claim. Use
either the traditional method or P-value method as indicated.
Identify the null and alternative hypotheses, test statistic,
critical value(s) or P-value (or range of P-values) as appropriate,
and state the final conclusion that addresses the original claim. A
public bus company official claims that the mean waiting time for
bus number 14 during peak hours is less than 10 minutes....

A large university is well known for both its business
school and its mechanical engineering program. The dean of career
services wants to know if there is a difference in starting job
salary between recently graduated business majors and mechanical
engineering majors. Assume that the population standard deviation
of the business majors' starting salaries is $12,000 and the
population standard deviation of the mechanical engineering majors'
starting salaries is $7,000, and that the starting salaries for
both majors are normally...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 53 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago