Question

Moen has instituted a new manufacturing process for assembling a component. Using the old process, the average assembly time was 4.25 minutes per component. After the new process was in place for 30 days, the quality control engineer took a random sample of fourteen components and noted the time it took to assemble each component. Based on the sample data, the average assembly time was 4.38 minutes, with a standard deviation of .16 minutes. Using a significance level of .02, has the new manufacturing process significantly changed the average assembly time? Do a complete and appropriate hypothesis test.

**Step 1 (Hypotheses)**

H_{0}: (Click to
select)snpx-bar??? (Click to
select)=??>?<

H_{A}: (Click to
select)?x-bar?p?sn (Click to
select)=??>?<

**Step 2 (Decision rule)**

Using only the appropriate statistical table in your textbook,
the critical value for rejecting H_{0} is (Click to
select)+-± . *(report your answer to 3 decimal places,
using conventional rounding rules)*

**Step 3 (Test statistic)**

Using the sample data, the calculated value of the test
statistic is (Click to select)+-± . *(report your answer
to 2 decimal places, using conventional rounding
rules)*

**Step 4 (Evaluate the null hypothesis)**

Should the null hypothesis be rejected? (Click to select)yesno

**Step 5 (Practical conclusion)**

Has the new manufacturing process significantly changed the average assembly time? (Click to select)yesno

Using only the appropriate statistical table in your textbook,
what is the most accurate statement you can make about the
numerical value of the *p*-value of this hypothesis
test?

Answer: *(provide a one-sentence statement
about the p-value)*

✔ Recommended Answer

Answer #1

Step 1:

Hypotheses are:

Step 2:

Here we have following information:

Degree of freedom: df=n-1=13

Test is two tailed so critical values are **+/-
2.650**

**Rejection region:**

**If t < -2.650 or t > 2.650, reject H0**

**Step 3:**

So test statitics will be

Step 4:

Since t lies in the rejection region so we reject the null hypothesis.

Step 5:

The new manufacturing process has significantly changed the average assembly time.

Answer : yes

The p-value must be less than 0.02.

Using extensive data compiled from their manufacturing records,
it has historically taken 16 minutes to complete the assembly of
each FC340M-VB fire extinguisher.
...recently retooled their production line in an
attempt to improve the operation’s overall efficiency and assembly
time. After the retooling was complete, the quality control
inspector took a random sample of n = 25 FC340M-VB fire
extinguishers from the new production line and took note of the
amount of time it took to assemble each one. The...

The owner of Luke's Cooling company believes that the average
time to install a new blower motor on a residential furnace is 12.5
minutes. Assume that installation time is normally distributed, and
that ? = 2.7 minutes. The company owner goes through the times for
a random sample of 26 furnace blower motor installations, and finds
that the average installation time was 11.44 minutes. Using a
significance level of ? = .05, is the company owner’s belief
correct? Conduct a...

The owner of Nick's Heating &
Cooling company believes that the average time to install a new
blower motor on a residential furnace is 12.5 minutes. Assume that
installation time is normally distributed, and that ? = 2.7
minutes. The company owner goes through the times for a random
sample of 26 furnace blower motor installations, and finds that the
average installation time was 11.44 minutes. Using a significance
level of ? = .05, is the company owner’s belief correct?...

Pedego Electric Bikes manufactures and sells its own brand of
electric bicycles (Ebike). The company is based in Irvine,
California. The bicycles can be pedaled manually and also be
powered electrically, reaching speeds of up to 20 miles per hour.
One model in Pedego’s line is the “Comfort Cruiser Ebike”. Based on
historical production records, it took 47 minutes, on average, to
completely assemble a Comfort Cruiser Ebike.
Pedego has recently instituted some major technological
innovations to their assembly line...

In the past the average age of employees of a large corporation
has been 40 years. Recently, the company has been hiring older
individuals. In order to determine whether there has been an
increase in the average age of all the employees, a sample of 25
employees was selected. The average age in the sample was 42.5
years with a sample standard deviation of 5 years. Using a
significance level of α = .01, do the sample data provide support...

Item Bazaar is an internet-based business and advertises that it
fulfills customers’ orders in less than 3 business days.
Periodically, the operations manager selects a random sample of
customer orders and determines the number of business days required
to fill the orders. On one occasion when a sample of 44 orders was
selected, the average number of business days was 2.80. Based on
extensive data from similar companies, the population standard
deviation is known to be equal to 0.75 days....

The makers of Excedrin Extra Strength advertise that
its fast-acting formula delivers extra strength headache relief in
no more than 15 minutes, on average. A consumer advocacy group
believes that this claim is incorrect, and that the true average
headache relief time is significantly longer than 15 minutes.
To test their belief, the consumer advocacy group took a random
sample of 45 hospital patients who were currently experiencing a
headache and administered a dose of Excedrin Extra
Strength pain reliever....

Production engineers at a company believe that a modified layout
on its assembly lines might increase average worker productivity
(measured in the number of units produced per hour). However,
before the engineers are ready to install the revised layout
officially across the entire firm’s production lines, they would
like to study the modified line’s effects on output. The following
data represent the average hourly production output of 6 randomly
sampled employees before and after the line was modified:
Employee:
1...

A manufacturing company measures the weight of boxes before
shipping them to the customers. The box weights have a population
mean and standard deviation of 86 lbs. and 16 lbs.
respectively.
a. Based on a sample size of 64 boxes, the probability that the
average weight of the boxes will exceed 90.3 lbs. is .
Use only the appropriate formula and/or statistical
table in your textbook to answer this question. Report your answer
to 4 decimal places, using conventional rounding...

The management of White Industries is considering a new method
of assembling its golf carts. The present method requires an
average of 42.3 minutes to assemble a cart. The mean assembly time
for a random sample of 25 carts, using the new method, was 41.0
minutes. From historical information, the population standard
deviation is known to be 2.7 minutes. Using an alpha value of .10,
can we conclude that the assembly time using the new method is
different than it...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 50 seconds ago

asked 9 minutes ago

asked 14 minutes ago

asked 31 minutes ago

asked 35 minutes ago

asked 36 minutes ago

asked 38 minutes ago

asked 46 minutes ago

asked 47 minutes ago

asked 50 minutes ago

asked 55 minutes ago

asked 1 hour ago