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2 probability Questions

### Question Description

A researcher wants to get information from a focus group. How many focus group of 8 people can be selected?

If a focus group of 8 people is selected, what is the probability that all member of the group support living together before marriage?

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## Final Answer

We should know how many people are involved in this research. Let's call it n, the answer will be nC8

Then if p is the proba that a member support living together before marriage the answer is p^8

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What is the sample proportion, of students at East University who been involved in a car a

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A study was conducted to determine if there was
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A study was conducted to determine if there was
a difference in the driving ability of students from West University and East
University by sending a survey to a sample of 100 students at both
universities. Of the 100 sampled from West University, 15 reported they had
been involved in a car accident within the past year. Of the 100 randomly
sampled students from East University, 12 students reported they had been
involved in a car accident within the past year.
What is the sample proportion, of students at East University who
been involved in a car accident within the last year?

Hypothesis test for the population variance or standard deviation

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A lab scientist is interested in whether lab rats that grow
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120
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7.98, = 127.8 and s2 =
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The
sample standard deviations are fairly close in value. Based on these estimates,
it is reasonable to assume that the two population variances are equal.
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What can we say about the value of the P-value?

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A lab scientist is interested in whether lab rats that grow
up alone grow as large as lab rats that grow up with other rats around them to
play with. He randomly selects 10 young rats with approximately the same age
and size. Five of these will spend the next four monthsalone and the other five
rats will each have three other rats to play with during the same time. After
four months, the scientist measures the abdomen circumference of all the rats
(in mm). The results are shown below:
Alone
group (#1)
110
123
113
103
120
Play
group (#2)
119
125
131
128
136
The sample means and sample standard deviations are
xbar1= 113.8 and s1 =
7.98, xbar2= 127.8 and s2 =
6.38
The
sample standard deviations are fairly close in value. Based on these estimates,
it is reasonable to assume that the two population variances are equal?
What can we say about the value of the P-value?

What is the value of the z statistic for testing these hypotheses?

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