Question

A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms. Full data set Carpeted Uncarpeted 6 6 11.4 11.4 9.2 9.2 11.3 11.3 5.5 5.5 10.2 10.2 14.9 14.9 8.9 8.9 15.6 15.6 12.3 12.3 7.1 7.1 6.2 6.2 6.4 6.4 9.3 9.3 4.5 4.5 6.6 6.6 Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the alpha equals 0.05 α=0.05 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers. State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.

Answer #1

Null hypothesis: H_{0}:
<= 0

Alternative hypothesis: > 0

We carry out 2-sample independent T-test to determine if carpeted rooms have more bacteria than uncarpeted rooms.

T-statistic, T = [ ] / sqrt[(s1^2/n1) + (s2^2/n2)]

where, is the mean of sample i, si is the std deviation of sample i and ni is the size of sample i

Using the given samples, we get,

T = 1.0121

T-critical (right sided) at alpha= 0.05 and d.o.f = 16+16-2 = 30, is

T-crit = 1.697

Since T < T-crit, we cannot reject the null hypothesis at the 0.05 significance level.

Hence, the no. of bacteria for carpeted rooms is not statistically greater than that in uncarpeted rooms at the 0.05 significance level.

A researcher wanted to determine if carpeted rooms contain more
bacteria than uncarpeted rooms. The table shows the results for the
number of bacteria per cubic foot for both types of rooms.
Determine whether carpeted rooms have more bacteria than
uncarpeted rooms at the α=0.01 level of significance. Normal
probability plots indicate that the data are approximately normal
and boxplots indicate that there are no outliers.
State the null and alternative hypotheses. Let population 1 be
carpeted rooms and population...

A researcher wanted to determine if carpeted rooms contain more
bacteria than uncarpeted rooms. The table shows the results for the
number of bacteria per cubic foot for both types of rooms.
Full data set
Carpeted
Uncarpeted
7.9
7.2
11.6
4.6
6
5.4
8.5
9.9
10.7
6.9
8.2
6.7
8.6
13.7
10.8
8.5
Determine whether carpeted rooms have more bacteria than
uncarpeted rooms at the α=0.05 level of significance. Normal
probability plots indicate that the data are approximately normal...

A researcher wanted to determine if carpeted or uncarpeted rooms
contain more bacteria. The table shows the results for the number
of bacteria per cubic foot for both types of rooms. A normal
probability plot and boxplot indicate that the data are
approximately normally distributed with no outliers. Do carpeted
rooms have more bacteria than uncarpeted rooms at the
alphaequals0.05 level of significance?
Carpeted: 14.9, 11.2, 12.5, 11.8, 8.1, 8.8, 11, 10.8
Uncarpeted: 9,11,11.5, 11.3, 9.5, 4.6, 6.3, 13.8
Test...

A researcher wanted to determine if carpeted rooms contain more
bacteria than uncarpeted rooms. The table shows the results for the
number of bacteria per cubic foot for both types of rooms. Carpeted
10.6 14.5 7.5 10.1 15.4 11.4 15.6 6 Uncarpted 8.2 12.1 11.9 4.2 13
8.4 5.3 7.3 Determine the P-value for this hypothesis test. Choose
the level of significance. In this case, the level of significance
has been given as alpha equals 0.05. Used technology to preform...

A researcher wanted to determine if carpeted rooms contain more
bacteria than uncarpeted rooms. The table shows the results for the
number of bacteria per cubic foot for both types of rooms.
Determine the P-value for this hypothesis test. alpha equals 0.05
level of significance Carpeted: 13.4,14.9,7,10.7,10.5,11.4,6.4,11.1
Uncarpeted: 8.6,8.7,9.7,9.4,13.8,12,4.6,10.3

A researcher wanted to determine if carpeted rooms contain more
bacteria than uncarpeted rooms. The table shows the results for the
number of bacteria per cubic foot for both types of rooms.
Carpeted Uncarpeted
10.4 9.4
6.2 12.1
8.8 8.1
7.4 5.2
13.3 7.7
13.3 13.1
9 9.9
8.6 7.8
Determine the P-value for this hypothesis test.
P-value=___________?
(Round to three decimal places as needed.)

A researcher wanted to determine if carpeted rooms contain more
bacteria than uncarpeted rooms. The table shows the results for the
number of bacteria per cubic foot for both types of rooms.
find the p-value and conclusion
Full data set
Carpeted
Uncarpeted
14.914.9
10.710.7
10.210.2
5.55.5
13.513.5
8.28.2
14.814.8
12.112.1
99
5.25.2
6.26.2
5.35.3
1616
15.315.3
5.65.6
10.710.7
and conclusion

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