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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