Question

**Scenario I**: Your friend is an Applied Mathematics major and you believe that students who have this major have lower social skills than other college students. You get a nationally normed social skills scale (m =15.00= s_{x}= 7.00) and get 100 Applied Mathematics majors to complete it. You obtain the following,*M*= 13.24,*SD*= 6.35. Test whether Applied Mathematics majors have lower social skills than other adults.

- What are the hypotheses for the study?
*H*:_{o}*Null hypothesis**H*:_{a}- Alternative hypothesis

- Calculate the following:

- z
_{obt}

- Should you reject or retain the null hypothesis? Is the test significant or not? Conclusion?

**Scenario II**: A social psychologist
believes women are better tippers than men. Over the
span of a few days, she observes male and female patron’s picking
up lunch orders that cost between 20-25 dollars. She then records
how much money each individual tips. The data is presented in Table
1 below. She wants to test her hypothesis that women leave larger
tips than men.

Women
Tips: *M* = 4.25, *s _{x}^{2}* = 3.50,

Men
Tips: *M* = 3.00, *s _{x}^{2}* = 2.75,
n = 15

- What is the independent variable in this study? What is the treatment condition (or experimental group) and what is the control group?
- What is the dependent variable in this study?
- What is the Null Hypothesis for this study?
- What is the Alternative Hypothesis for this study?
- Calculate the degrees of freedom and the t
_{crit} - What is the t
_{obt}value (use a separate sheet of paper if needed)? - What is your decision? Is the test significant or not significant? What is the conclusion?

Answer #1

Scenario II: A social psychologist believes women are better
tippers than men. Over the span of a few days, she observes male
and female patron’s picking up lunch orders that cost between 20-25
dollars. She then records how much money each individual tips. The
data is presented in Table 1 below. She wants to test her
hypothesis that women leave larger tips than men. Women Tips: M =
4.25, sx2 = 3.50, n = 15 Men Tips: M = 3.00,...

Your friend tells you that the proportion of active Major League
Baseball players who have a batting average greater than .300 is
different from 0.71, a claim you would like to test. The hypotheses
for this test are Null Hypothesis: p = 0.71, Alternative
Hypothesis: p ≠ 0.71. If you randomly sample 23 players and
determine that 14 of them have a batting average higher than .300,
what is the test statistic and p-value?

Your friend tells you that the proportion of active Major League
Baseball players who have a batting average greater than .300 is
different from 0.64, a claim you would like to test. The hypotheses
for this test are Null Hypothesis: p = 0.64, Alternative
Hypothesis: p ≠ 0.64. If you randomly sample 30 players and
determine that 24 of them have a batting average higher than .300,
what is the test statistic and p-value?

Your friend tells you that the proportion of active Major League
Baseball players who have a batting average greater than .300 is
different from 0.77, a claim you would like to test. The hypotheses
for this test are Null Hypothesis: p = 0.77, Alternative
Hypothesis: p ≠ 0.77. If you randomly sample 24 players and
determine that 19 of them have a batting average higher than .300,
what is the test statistic and p-value?
Question 9 options:
1)
Test Statistic:...

Your friend tells you that the proportion of active Major League
Baseball players who have a batting average greater than .300 is
different from 0.74, a claim you would like to test. The hypotheses
here are Null Hypothesis: p = 0.74, Alternative Hypothesis: p ≠
0.74. If you take a random sample of players and calculate p-value
for your hypothesis test of 0.9623, what is the appropriate
conclusion? Conclude at the 5% level of significance.
Question 15 options:
1)
We...

Question 10 (1 point)
Your friend tells you that the proportion of active Major League
Baseball players who have a batting average greater than .300 is
greater than 0.51, a claim you would like to test. If you conduct a
hypothesis test, what will the null and alternative hypotheses
be?
Question 10 options:
1)
HO: p ≥ 0.51
HA: p < 0.51
2)
HO: p < 0.51
HA: p ≥ 0.51
3)
HO: p ≤ 0.51
HA: p > 0.51...

What is your smell ability score?
Researchers studying people’s sense of smell devised a measure
of smelling ability (Lundstrom et al. 2006). If you score high on
this scale, you can detect smells better than others. Although it
was not a goal of the study, we can use the data collected by these
researchers to determine whether women and men differ in their
ability to detect smells. The fact that the researchers felt it was
important to record the gender...

Questions 14-18 are based on Scenario 4. A
researcher is interested in studying how exposure to blue spectrum
light (the light emitted from smartphones and other technology
devices) can influence sleep quality. She randomly assigns one
group of participants to use no technology before bed for 1 week,
and a second group of participants to look at a smartphone or
tablet for 1 hour before bed for 1 week, and a third group to read
a book for 1 hour...

Question 7 (1 point)
You are interested in whether the average lifetime of Duracell
AAA batteries is less than the average lifetime of Energizer AAA
batteries. You lay out your hypotheses as follows: Null Hypothesis:
μ1 ≥ μ2, Alternative Hypothesis:
μ1 < μ2 (Duracell = Group 1, Energizer =
Group 2). You perform an experiment on 23 randomly selected
Duracell AAA batteries and 33 randomly selected Energizer AAA
batteries and test them using a battery drainer. The Duracells had
an...

Question 11 (1 point)
A suggestion is made that the proportion of people who have food
allergies and/or sensitivities is 0.48. You believe that the
proportion is actually less than 0.48. The hypotheses for this test
are Null Hypothesis: p ≥ 0.48, Alternative Hypothesis: p < 0.48.
If you select a random sample of 28 people and 12 have a food
allergy and/or sensitivity, what is your test statistic and
p-value?
Question 11 options:
1)
Test Statistic: 0.545, P-Value: 0.293...

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