Question

**Problem 5: An engineer wants to test whether the mean
diameter of pencils has increased above 0.95 cm. Sample data has
given a sample standard deviation of 0.18 cm. A random sample of 36
pencils is selected. A level of significance of 0.05 is
chosen.**

**Part A: State the null hypothesis.**

**Part B: State the alternative hypothesis.**

**Part C: What technique is used to test the
claim?**

**Part D: What test statistic is used to test the
claim?**

**Part E: Determine the critical point(s).**

**Part F: If the sample mean equals 0.99 cm, what
statistical decision is made?**

**Part G: Interpret the statistical decision in Part
F.**

Answer #1

A tire producer wants to test whether the mean diameter of the
tires produced on a given day equals 36 inches. The firm chooses a
random sample of 48 tires, and finds that the sample mean diameter
is 36.4 inches and the sample standard deviation is 0.8 inches.
Create a 90% confidence interval.

A safety engineer records the braking distances of two types of
tires. Each randomly selected sample has
35 tires. The results of the tests are shown in the table. At
alphaαequals=0.10,
can the engineer support the claim that the mean braking
distance is different for the two types of tires? Assume the
samples are randomly selected and that the samples are independent.
Complete parts (a) through (e).
Type A
x overbar 1x1
equals=
41
feet
sigma 1σ1
equals=
4.5 feet...

A medical researcher wants to determine whether a drug changes
the body’s temperature. Seven test subjects are randomly selected,
and the body temperature (in degrees Fahrenheit) of each is
measured. The subjects are then given the drug and after 20
minutes, the body temperature of each is measured again. The
results are listed below. Use significance level α = 0.05, and we
assume that the body temperatures are normally distributed.pleae
show work
t-Test: Paired Two Sample for Means
Initial Temperature...

1. Carl Reinhold August Wunderlich reported that the
mean temperature of humans is 98.6F. To test this long-held belief
about the average body temperature, medical researchers measured
the temperature of 36 randomly selected healthy adults. The sample
data resulted in a sample mean of 98.2F and a sample standard
deviation of 0.6F. Assuming that the population is normal, test
whether the mean temperature of humans is different from 98.6F at
the 5% significance level. To gain full credit, you should...

The diameter of steel rods manufactured on two different
extrusion machines is being investigated. Two random samples of
sizes ?1 = 15 and ?2 = 17 are selected, and the sample means and
sample variances are ?̅1 = 8.73, ?2 = 0.35, ?̅ = 8.68, and ?2 =
0.40, respectively.
a.Write down null and alternative hypotheses to test if the
machines produce rods with different mean diameters.
b.What is the type of statistical test that is appropriate?
Explain.
c.Test the...

Please show all work:
Assignment: You will be answering problems #1 - #4. For each
problem, you will need to complete parts A through F. Please make
sure you answer each part completely and you offer justification
where necessary. Do all work "by hand" (not using StatCrunch) as
good practice for your next exam!
A) Write the claim mathematically and state the null and
alternative hypotheses.
B) Determine whether the hypothesis test is left-tailed,
right-tailed, or two tailed and whether...

A consumer group is testing the claim that the mean
volume of Coke in cans is greater than 12 oz. A sample of 36 cans
yielded a mean of 12.019 oz and a standard deviation of 0.11 oz.
Test the claim that the mean is actually 12 oz. Use a =
0.05.
(1) List all the information necessary for conducting
the hypothesis test and state which
test you are doing.
(2) State the null and alternative hypotheses and
whether you...

Problem 5:
A bus company advertised a mean time of 150 minutes for a trip
between two cities. A consumer group had reason to believe that the
mean time was more than 150 minutes. A sample of 20 trips showed a
mean x̄ = 153 minutes and a standard deviation s = 7.5 minutes. At
an α = .10 level of significance, test the consumer group’s belief.
Assume that trip lengths with this bus company follow a normal
distribution. Make...

Decide whether the normal sampling distribution can be used. If
it can be used, test the claim about the population proportion p
at the given level of significance
alphaα
using the given sample statistics.Claim:
pnot equals≠0.24;
alphaαequals=0.10;
Sample statistics:
ModifyingAbove p with caretpequals=0.21,
nequals=200
Can the normal sampling distribution be used?
state the null and alternative hypothesis.
determine the critical value.
find the z-test statistic.
what is the result of the test?
Reject
Upper H 0H0.
The data provide sufficient...

A car company says that the mean gas mileage for its luxury
sedan is at least 21 miles per gallon (mpg). You believe the claim
is incorrect and find that a random sample of 7 cars has a mean gas
mileage of 19 mpg and a standard deviation of 3 mpg. At alpha
equals 0.025, test the company's claim. Assume the population is
normally distributed. Which sampling distribution should be used
and why? State the appropriate hypothesis to test. What...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 26 minutes ago

asked 32 minutes ago

asked 46 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 1 hour ago

asked 1 hour ago