# In a group of 15 young professionals studied, it was found that they purchased on average…

In a group of 15 young professionals studied, it was found that
they purchased on average \$186.498 per month eating meals prepared
outside the home, with a standard deviation of \$30.392. What is the
99% confidence interval of the true amount of money young
professionals spend monthly on meals prepared outside the home?

1)

( 163.138 , 209.858 )

2)

( 183.521 , 189.475 )

3)

( 163.372 , 209.624 )

4)

( -163.138 , 209.858 )

5)

( 178.651 , 194.345 )

You read an article in Golf Digest that someone with your
average drive distance will have an average score of 79.53. You
keep track of your scores for the next 13 rounds and see that your
average score is 79.2 with a standard deviation of 1.295 strokes.
You create a 95% confidence interval for your average score and it
is (78.42, 79.98). Given this information, what is the best
conclusion?

1)

The percentage of rounds in which you score more than 79.53 is
95%.

2)

We cannot determine the proper interpretation based on the
information given.

3)

The average score does not significantly differ from
79.53.

4)

We are 95% confident that your average score is greater than
79.53.

5)

We are 95% confident that your average score is less than
79.53.

It is believed that using a solid state drive (SSD) in a
computer results in faster boot times when compared to a computer
with a traditional hard disk (HDD). You sample a group of computers
and use the sample statistics to calculate a 95% confidence
interval of (1.64, 10.4). This interval estimates the difference of
(average boot time (HDD) – average boot time (SSD)). What can we
conclude from this interval?

1)

We are 95% confident that the average boot time of all
computers with an HDD is greater than the average of all computers
with an SSD.

2)

We are 95% confident that the average boot time of all
computers with an SSD is greater than the average of all computers
with an HDD.

3)

There is no significant difference between the average boot
time for a computer with an SSD drive and one with an HDD drive at
95% confidence.

4)

We do not have enough information to make a conclusion.

5)

We are 95% confident that the difference between the two sample
means falls within the interval.

A new drug to treat high cholesterol is being tested by
pharmaceutical company. The cholesterol levels for 8 patients were
recorded before administering the drug and after. The mean
difference in total cholesterol levels (after – before) was 15.539
mg/dL with a standard deviation of 19.2612 mg/dL. Create a 90%
confidence interval for the true average difference in cholesterol
levels by the drug.

1)

(-2.6372, 28.4408)

2)

(2.6372, 28.4408)

3)

(13.6444, 17.4336)

4)

(2.8757, 28.2023)

5)

(8.7291, 22.3489)

As of 2012, the proportion of students who use a MacBook as
their primary computer is 0.31. You believe that at your university
the proportion is actually less than 0.31. If you conduct a
hypothesis test, what will the and alternative hypotheses
be?

1)

HO: p > 0.31

HA: p _ 0.31

2)

HO: p _ 0.31

HA: p < 0.31 3) HO: p _ 0.31 HA: p > 0.31

4)

HO: p = 0.31

HA: p _ 0.31

5)

HO: p < 0.31 HA: p _ 0.31

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