Question

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. A farmer has decided to use a new additive to grow his crops. He divided his farm into 10 plots and kept records of the corn yield (in bushels) before and after using the additive. The results are shown below.

Plot Before After

1 9 10

2 9 9

3 8 9

4 7 8

5 6 7

6 8 10

7 5 6

8 9 10

9 10 10

10 11 12

You wish to test the following hypothesis at the

10 percent level of significance.

H0:

μ d=0

against

H1:

μ d ≠0.

What decision rule would you use?

Answer #1

A major oil company has developed a new gasoline additive that
is supposed to increase mileage. To test this hypothesis, ten cars
are randomly selected. The cars are driven both with and without
the additive. The results are displayed in the following table. Can
it be concluded, from the data, that the gasoline additive does
significantly increase mileage? Let d = (gas mileage with additive)
- (gas mileage without additive) . Use a significance level of 0.05
for the test....

Create a null hypothesis and a directional experimental
hypothesis for minutes of exercise.
Create a null hypothesis and a non-directional
experimental hypothesis for cigarettes smoke daily, alcohol
beverages and daily calories.
Should we conduct a one or two tailed?
Participants
Minutes of exercise
Daily calories
Cigarettes smoked daily
Alcohol beverages
1
30
2000
0
2
2
0
3000
5
4
3
120
1500
0
0
4
150
1800
10
14
5
0
3200
0
5
6
150
1600
20
35...

22. In testing the null hypothesis H0:
μ1 - μ
2 = 0, the computed test statistic is z =
-1.66. The corresponding p-value is
a.
.9515.
b.
.0485.
c.
.9030.
d.
.0970.
15. The level of significance α
a.
is (1 - confidence coefficient).
b.
is always a negative value.
c.
can be any positive value.
d.
can be any value between -1.96 to 1.96.
10. The following information was obtained from matched
samples.
The daily production rates for a sample...

A major oil company has developed a new gasoline additive that
is supposed to increase mileage. To test this hypothesis, ten cars
are randomly selected. The cars are driven both with and without
the additive. The results are displayed in the following table. Can
it be concluded, from the data, that the gasoline additive does
significantly increase mileage? Let d = (gas mileage with additive)
- (gas mileage without additive). Use a significance level of α =
0.05 for the...

A major oil company has developed a new gasoline additive that
is supposed to increase mileage. To test this hypothesis, ten cars
are randomly selected. The cars are driven both with and without
the additive. The results are displayed in the following table. Can
it be concluded, from the data, that the gasoline additive does
significantly increase mileage?
Let d=(gas mileage with additive)−(gas mileage without
additive)d=(gas mileage with additive)−(gas mileage without
additive). Use a significance level of α=0.01α=0.01 for the...

A major oil company has developed a new gasoline additive that
is supposed to increase mileage. To test this hypothesis, ten cars
are randomly selected. The cars are driven both with and without
the additive. The results are displayed in the following table. Can
it be concluded, from the data, that the gasoline additive does
significantly increase mileage? Let d=(gas mileage with
additive)−(gas mileage without additive). Use a significance level
of α=0.05 for the test. Assume that the gas mileages...

Chapter 11: Using the attached dataset “Chapter 11 Data Set 1”
to test the research hypothesis that males raise their hands in
class more often than females. (Please note that these data are not
exactly the data provided by the author). Is this a directional or
non-directional hypothesis? Should you use a one-tailed or
two-tailed test? What is the corresponding null hypothesis? Conduct
the between groups t-test using Excel (either method). Use the .05
confidence level. What is your conclusion...

Chapter 11: Using the attached dataset “Chapter 11 Data Set 1”
to test the research hypothesis that males raise their hands in
class more often than females. (Please note that these data are not
exactly the data provided by the author).
Is this a directional or non-directional hypothesis?
Should you use a one-tailed or two-tailed test?
What is the corresponding null hypothesis?
Conduct the between groups t-test using Excel (either method).
Use the .05 confidence level. What is your conclusion...

A major oil company has developed a new gasoline additive that
is supposed to increase mileage. To test this hypothesis, ten cars
are randomly selected. The cars are driven both with and without
the additive. The results are displayed in the following table. Can
it be concluded, from the data, that the gasoline additive does
significantly increase mileage? Let d=(gas mileage with
additive)−(gas mileage without additive) d = (gas mileage with
additive) − (gas mileage without additive) . Use a...

A major oil company has developed a new gasoline additive that
is supposed to increase mileage. To test this hypothesis, ten cars
are randomly selected. The cars are driven both with and without
the additive. The results are displayed in the following table. Can
it be concluded, from the data, that the gasoline additive does
significantly increase mileage?
Let d=(gas mileage with additive)−(gas mileage without
additive)d=(gas mileage with additive)−(gas mileage without
additive). Use a significance level of α=0.05 for the...

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