Stats Assignment 5 on Hypothesis Tests |
1/ The yield of alfalfa from 6 test plots is 1.4, 1.8, 1.1, 1.9, 2.2, and 1.2 tons per acre. (5)
2/ In the comparison of 2 kinds of paint, a consumer-testing service found that (5)
3/ The following data were obtained in an experiment designed to check whether
Use the 1% level of significance to test whether the difference between (5)
4/ Samples of 50 freshmen from two Universities were given a special test (5)
5/ To test the effectiveness of a new drug, 80 patients at a clinic were given the drug (5)
6/ The student newspaper interviewed a random sample of 200 male students and (5)
7/ A traffic engineer is studying the traffic pattern on a four-lane inbound expressway.
At the 5% significance level, test the hypothesis that traffic uses all four lanes equally.
(5)
8/ Studies have shown that in the past, 25.2% of the used cars bought in a particular (5)
9/ The table shows the results of a study in which independent random samples of
Test at the 5% level of significance whether the differences among the sample proportions (5)
TOTAL (45)
Test at the 5% level of significance whether this supports the claim that
the average yield for this kind of alfalfa is 1.5 tons per acre.
4 one-gallon cans of brand A covered an average of 514 sq. ft. with a standard deviation
of 32 sq. ft., while 4 one-gallon cans of brand B paint covered an average of 487 sq. ft.
with a standard deviation of 27 sq. ft.
Use the 5% level of significance to test whether the difference between the
two sample means is significant.
there is a difference in the weights (grams) obtained with two different scales:
SPECIMEN
SCALE 1
SCALE 2
1
12.13
12.17
2
17.56
17.61
3
9.33
9.35
4
11.4
11.42
5
28.62
28.61
6
10.25
10.27
7
23.37
23.42
8
16.27
16.26
9
12.4
12.45
10
24.78
24.75
the means of the weights obtained with the two scales is significant.
to determine their knowledge of history. The average score from University A
was 67.4 with a standard deviation of 5. The average score from university B was 62.8
with a standard deviation of 4.6.
Test at the 5% level of significance whether the difference between
the two samples is significant.
and 80 others were given a placebo. If 56 of the patients who received the drug
and 38 of those who received the placebo felt a beneficial effect, what can we
conclude at the 1% level of significance about the effectiveness of the new drug?
found that 150 were in favor of having a homecoming dance.
A random sample of 400 females revealed that 312 were in favor of the dance.
At the 10% significance level, does the sample evidence show that there is a
difference between the proportion of males and females favoring a dance?
For an hour, he counts the number of vehicles using each of the four lanes.
The results are as follows:
LANE
VEHICLES
1
100
2
80
3
60
4
60
city are subcompacts, 52.9% are mid-sized and 21.9% are full-sized cars.
A sample of 500 sales during the first quarter revealed that 129 were subcompacts,
258 were mid-sized and 113 were full-sized cars.
Test at the 5% level of significance that there has been no change in the buying
habits with respect to used cars in that city.
workers in 3 parts of the country were asked whether they feel that unemployment
or inflation is a more serious problem:
northeast
midwest
southwest
total
unemployment
87
73
66
226
inflation
113
77
84
274
total
200
150
150
500
of workers who chose unemployment are significant.
.
Back to Statistics MathRoom Index
.