Question

An experiment was designed to compare the lengths of time that
four different drugs provided pain relief after surgery. The
results (in hours) follow. Is there enough evidence to reject the
null hypothesis that there is no significant difference in the
length of pain relief provided by the four drugs at *α* =
.05?

Drug | |||

A | B | C | D |

7 | 6 | 8 | 3 |

2 | 5 | 12 | 4 |

3 | 5 | 10 | 4 |

7 | 4 | 8 | |

8 |

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

(ii) Find the *p*-value. (Give your answer bounds
exactly.)

_____< *p* <_____

(b) State the appropriate conclusion.

Reject the null hypothesis, there is not significant evidence of a difference in the length of pain relief. Reject the null hypothesis, there is significant evidence of a difference in the length of pain relief. Fail to reject the null hypothesis, there is significant evidence of a difference in the length of pain relief. Fail to reject the null hypothesis, there is not significant evidence of a difference in the length of pain relief.

You may need to use the appropriate table in Appendix B to answer
this question.

Answer #1

An experiment was designed to compare the lengths of time that
four different drugs provided pain relief after surgery. The
results (in hours) follow. Is there enough evidence to reject the
null hypothesis that there is no significant difference in the
length of pain relief provided by the four drugs at α =
.05?
Drug
A
B
C
D
4
5
11
3
5
4
9
3
3
3
12
4
6
5
11
10
(a) Find the test statistic....

An experiment was designed to compare the lengths of time that
four different drugs provided pain relief after surgery. The
results (in hours) follow. Is there enough evidence to reject the
null hypothesis that there is no significant difference in the
length of pain relief provided by the four drugs at α =
.05?
Drug
A
B
C
D
5
5
9
2
8
5
9
2
3
5
12
3
4
6
9
8
(a) Find the test statistic....

1A) An experiment was designed to compare the lengths of time
that four different drugs provided pain relief after surgery. The
results (in hours) follow. Is there enough evidence to reject the
null hypothesis that there is no significant difference in the
length of pain relief provided by the four drugs at α =
.05?
Drug
A
B
C
D
2
4
9
4
8
6
8
2
7
6
11
2
3
5
10
9
(a) Find the test...

A large supermarket carries four qualities of ground beef.
Customers are believed to purchase these four varieties with
probabilities of 0.06, 0.29, 0.18, and 0.47, respectively, from the
least to most expensive variety. A sample of 517 purchases resulted
in sales of 40, 147, 85, and 245 of the respective qualities. Does
this sample contradict the expected proportions? Use α =
.05.
(a) Find the test statistic. (Give your answer correct to two
decimal places.)
(ii) Find the p-value. (Give...

A large supermarket carries four qualities of ground beef.
Customers are believed to purchase these four varieties with
probabilities of 0.11, 0.24, 0.17, and 0.48, respectively, from the
least to most expensive variety. A sample of 520 purchases resulted
in sales of 49, 145, 73, and 253 of the respective qualities. Does
this sample contradict the expected proportions? Use α =
0.05.
(a) Find the test statistic. (Round your answer to two decimal
places.)
(ii) Find the p-value. (Round your...

A large supermarket carries four qualities of ground beef.
Customers are believed to purchase these four varieties with
probabilities of 0.09, 0.27, 0.13, and 0.51, respectively, from the
least to most expensive variety. A sample of 518 purchases resulted
in sales of 44, 150, 83, and 241 of the respective qualities. Does
this sample contradict the expected proportions? Use α =
0.05.
(a) Find the test statistic. (Round your answer to two decimal
places.)
(ii) Find the p-value. (Round your...

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 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...

A certain type of flower seed will produce magenta, chartreuse,
and ochre flowers in the ratio 6:3:1 (one flower per seed). A total
of 100 seeds are planted and all germinate, yielding the following
results.
Magenta
Chartreuse
Ochre
56
25
19
(a) If the null hypothesis (6:3:1) is true, what is the expected
number of magenta flowers?
(b) How many degrees of freedom are associated with
chi-square?
(c) Complete the hypothesis test using α = 0.10.
(i) Find the test...

A new operator was recently assigned to a crew of workers who
perform a certain job. From the records of the number of units of
work completed by each worker each day last month, a sample of size
five was randomly selected for each of the two experienced workers
and the new worker. At the α = .05 level of significance,
does the evidence provide sufficient reason to reject the claim
that there is no difference in the amount of...

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