Question

The manager of an assembly process wants to determine whether or
not the number of defective articles manufactured depends on the
day of the week the articles are produced. She collected the
following information. Is there sufficient evidence to reject the
hypothesis that the number of defective articles is independent of
the day of the week on which they are produced? Use *α* =
0.01.

Day of Week | M | Tu | W | Th | F |

Nondefective | 88 | 94 | 97 | 98 | 91 |

Defective | 12 | 6 | 3 | 4 | 9 |

(a) Find the test statistic. (Round your answer to two decimal
places.)

(ii) Find the *p*-value. (Round your answer to four decimal
places.)

(b) State the appropriate conclusion.

Fail to reject the null hypothesis. There is significant evidence that the number of defective articles is not independent to day of the week. Fail to reject the null hypothesis. There is not significant evidence that the number of defective articles is not independent to day of the week. Reject the null hypothesis. There is significant evidence that the number of defective articles is not independent to day of the week. Reject the null hypothesis. There is not significant evidence that the number of defective articles is not independent to day

Answer #1

The statistical software output for this problem is :

Test statistics = 8.78

P-value = 0.0670

Fail to reject the null hypothesis. There is not significant evidence that the number of defective articles is not independent to day of the week.

The manager of an assembly process wants to determine whether or
not the number of defective articles manufactured depends on the
day of the week the articles are produced. She collected the
following information. Is there sufficient evidence to reject the
hypothesis that the number of defective articles is independent of
the day of the week on which they are produced? Use α =
0.01.
Day of Week
M
Tu
W
Th
F
Nondefective
87
92
99
96
93
Defective...

The manager of an assembly process wants to determine whether or
not the number of defective articles manufactured depends on the
day of the week the articles are produced. She collected the
following information. Is there sufficient evidence to reject the
hypothesis that the number of defective articles is independent of
the day of the week on which they are produced? Use α =
0.05.
Day of Week
M
Tu
W
Th
F
Nondefective
86
86
95
90
91
Defective...

1A) The manager of an assembly process wants to determine
whether or not the number of defective articles manufactured
depends on the day of the week the articles are produced. She
collected the following information. Is there sufficient evidence
to reject the hypothesis that the number of defective articles is
independent of the day of the week on which they are produced? Use
α = 0.05.
Day of Week
M
Tu
W
Th
F
Nondefective
90
93
86
91
88...

1A) The manager of an assembly process wants to determine
whether or not the number of defective articles manufactured
depends on the day of the week the articles are produced. She
collected the following information. Is there sufficient evidence
to reject the hypothesis that the number of defective articles is
independent of the day of the week on which they are produced? Use
α = 0.05.
Day of Week
M
Tu
W
Th
F
Nondefective
95
95
93
94
88...

The following table is from a publication. The individuals in
the following table have an eye irritation, a nose irritation, or a
throat irritation. They have only one of the three. Is there
sufficient evidence to reject the hypothesis that the type of ear,
nose, or throat irritation is independent of the age group at a
level of significance equal to 0.05?
Age (years)
Type of Irritation
18-29
30-44
45-64
65 and Older
Eye
435
566
366
68
Nose
923...

In a sample of 400 parts manufactured by a factory, the number
of defective parts were found to be 30. The company, however,
claimed that at most 5% of their produce is defective. We wish to
test the company's claim.
Answer the next 3 questions.
1. Is the hypothesis: right-tailed, left tailed, or
two-tailed?
2. True or False. We fail to reject the Null hypothesis at 5%
level of significance.
3. True or False. We do not have enough evidence...

A supervisor of a manufacturing plant is interested in relating
the average number of defects produced per day to two factors: the
operator working the machine and the machine itself. The supervisor
randomly assigns each operator to use each machine for three days
and records the number of defects produced per day. Is there
sufficient evidence to conclude that there is a significant
difference among the average number of defects produced per day for
the different machines?
Number of Defects...

The following table is from a publication. The individuals in
the following table have an eye irritation, a nose irritation, or a
throat irritation. They have only one of the three. Is there
sufficient evidence to reject the hypothesis that the type of ear,
nose, or throat irritation is independent of the age group at a
level of significance equal to 0.05?
Age (years)
Type of Irritation
18-29
30-44
45-64
65 and Older
Eye
444
576
334
61
Nose
907...

Two randomly selected groups of citizens were exposed to
different media campaigns that dealt with the image of a political
candidate. One week later, the citizen groups were surveyed to see
whether they would vote for the candidate. The results were as
follows. Is there sufficient evidence to show a difference in the
effectiveness of the two image campaigns at the 0.05 level of
significance? (Use Conservative - Moderate.)
Exposed to Conservative Image Exposed to Moderate
Image
Number in...

The mean number of English courses taken in a two–year time
period by male and female college students is believed to be about
the same. An experiment is conducted and data are collected from 25
males and 13 females. The males took an average of 4 English
courses with a standard deviation of 0.8. The females took an
average of 2.5 English courses with a standard deviation of
1.0.
Set up a hypothesis test to determine whether this difference is...

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