Question

1. Customers at the local Subway store order an ice tea with
their meal 70% of the time. Use the Binomial distribution to find
the answer to the following.

Find the probability that among the next 8 customers, at least 3
will order ice tea with their meal: (to three places
after the decimal)

Of the next 8 customers, how many do you expect to order ice tea
with their meal? (to one place after the decimal)

2. The average score of all golfers for a particular course has
a mean of 66 and a standard deviation of 5.

Find the mean of the sampling distribution for the average score
(sample mean) of 196 golfers: (Round answer to the
nearest integer.)

Find the standard deviation of the sampling distribution for the
average score (sample mean)of 196 golfers: (Round
answer to four places after the decimal.)

Is the sampling distribution of the average score (sample mean)
approximately normal?

a) Yes, because the sample size is large enough.

b) No, because the sample size is not large enough.

What is the probability that the average (sample mean) of the 196
golfers exceeded 67? (Round answer to four places after
the decimal.)

What is the standard deviation of the number of customers that
order ice tea among the next 8 customers? (to two places
after the decimal)

3. We are interested in estimating the proportion of people that
can identify Nebraska but not Vermont. In a class of 55 students,
each student was requested to select a sample of 6 people, show
each person a map of the US and ask the person to identify the
states of Vermont and Nebraska. The following numbers are the
counts that each student got, that is, each number is the count of
people in the student sample of 6, that could identify Nebraska but
not Vermont.

4

4

5

5

0

1

0

1

1

0

0

2

0

0

3

0

0

0

2

0

2

0

0

0

1

1

0

0

0

0

2

0

1

0

0

0

0

0

0

1

0

0

0

2

0

0

0

0

0

0

0

1

0

1

0

Note: You can cut and past these numbers into an excel spreadsheet
to help you calculate the mean and the standard deviation and
compute the confidence interval. If you have trouble pasting them,
paste them to a text file first and then copy from there.

When we collect all the students' data, we have a sample size of
6x55=330.

Of the sample of 330 people, what proportion were able to locate
Nebraska but not Vermont?

Find a 95% confidence interval for the true proportion of people
that can locate Nebraska but not Vermont. The 95% confidence
interval is ( , ).

(Round answers to two places after the decimal.)

Answer #1

We would be looking at question 1 all parts here.

Question 1:

The number of people who orders ice tea along with their meal is given by a distribution here as:

a) Probability that of the 8 customers, at least 3 will order ice tea with their meal is computed using binomial distribution function here as:

**Therefore 0.9887 is the required probability
here.**

b) Number of customers expected to order ice tea with their meal out of the next 8 customers is computed here as:

= 8*0.7

= 5.6

**Therefore 5.6 is the expected number of customers
here.**

We are interested in estimating the proportion of people that
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each student was requested to select a sample of 6 people, show
each person a map of the US and ask the person to identify the
states of Vermont and Nebraska. The following numbers are the
counts that each student got, that is, each number is the count of
people in the student sample of 6, that could...

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Modifying Above p with care tp.
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124
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equation editor
Equation Editor <μ<<μ<
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