Question

# Problem 1 Your company manufactures face masks and are concerned about the scrap rates of your...

Problem 1

Your company manufactures face masks and are concerned about the scrap rates of your 3 different plants. Particularly, you need to know is there is a difference in scrap rates per 1000 units produced by each Plant. You collect a sample of 4 observations per each Plant. The results are as follows:

 Plant A Plant B Plant C 11.4 11.1 10.2 12.5 14.1 9.5 10.1 16.8 9.0 13.8 13.2 13.3

You need to run a test with α = 0.05

What is your conclusion?

Select one:

a. Plant A has a higher scrap rate than Plant B

b. All Plants have the same mean scrap rate

c. Can't reach a conclusion without more information

d. Not all the Plants have the same scrap rate

 Mean n Std. Dev Plant A 11.95 4 1.576 Plant B 13.80 4 2.362 Plant C 10.50 4 1.930 Total 12.08 12 2.281
 ANOVA table Source SS df MS F p-value Treatment 21.887 2 10.9433 2.78 .1145 Error 35.370 9 3.9300 Total 57.257 11

To Test :-
H0 :- µ1 = µ2 = µ3 = 0
H0 :- µ1 = µ2 = µ3 ≠ 0

Test Statistic :-
f = MS treatment / MS error = 2.7846

Test Criteria :-
Reject null hypothesis if f > f(α , a-1 , N-a )
Critical value f(0.05, 2 , 9 ) = 4.2565 (From F table)
Since 2.7846 < 4.2565, we fail to reject H0

Conclusion :- Not all the Plants have the same scrap rate

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Need Online Homework Help?

Most questions answered within 1 hours.

##### Active Questions
• The following command has been successfully executed: Create Sequence EmpSeq; The following block of PL/SQL code...
asked 8 minutes ago
• You own a mid-size company that designs 3-D imaging products. The government has requested you to...
asked 13 minutes ago
• J owns an 80% interest in the capital and profits of the JL partnership. On April...
asked 15 minutes ago
• For the population of infants subjected to fetal surgery for congenital anomalies, the distribution of gestational...
asked 24 minutes ago
• Bill needs to schedule a meeting for tomorrow afternoon, but he also has a tee time...
asked 31 minutes ago
• (a) True/False. A binary random variable is a categorical variable. Explain the answer thoroughly. (b) True/False....
asked 31 minutes ago
• Which of the following is TRUE about erythrocytes? Select one: a. Mature erythrocytes contain many ribosomes....
asked 50 minutes ago
• Muray Corp. is expected to pay the following dividends over the next 4 years: \$14, \$7,...
asked 56 minutes ago
• After her yearly physical exam, a 45-year-old woman is told by her doctor that she has...
asked 58 minutes ago
• A demand loan of ​\$8000.00 is repaid by payments of ​\$3500.00 after two ​years, \$3500.00 after...
asked 58 minutes ago
• In May 2011, Mississippi River flooding hit Vicksburg, Mississippi, and the Optima Air Filter Company. Many...
asked 1 hour ago
• Choose the CORRECT statement about lymphatic fluid (lymph). Select one: a. Lymph is moved through lymphatic...
asked 1 hour ago