A pharmaceutical company claims that their new medication lowers blood pressure. A group of six patients was randomly selected and their systolic blood pressure was measured before and one hour after they had taken the medication (i.e. before > after). See the table below.

For parts (a), (b), (c), round your answers to 2 decimal places.

(a)

d

d

=

You MUST answer part (a) before filling in the two right columns in the table.

(b) Fill in the table below.PatientBeforeAfterd

=

d=

Before

-

Afterd

d

d-d

(

d

d

)

2

(d-d)2

114513021501463139144416315551251336131133Total

(c) The standard deviation for the differences iss

d

=

sd=

At a2.5

%

2.5%

significance level, test the company's claim. Use the t-test for matched pairs and the formula involving the mean of the differences

d

d

t

=

d

d

(

S

d

n

)

t=d-d(Sdn)

, (Note:

d

d

= 0)

(d) State the null and alternative hypotheses, and identify which one is the claim.

H

0

H0

:Select an answer

s

x

d

p

?

=

>

<

H

1

H1

:Select an answer

d

p

x

s

?

>

<

=

Which one is the claim:

• H
• 1
• H1
• H
• 0
• H0

For parts (e), (f) use the correct sign for the t-value and test statistic, and round your answers to at least 3 decimal places.

(e) What is the critical t-value (from the Student t-table)?

(f) What is the test statistic (from the formula)?

(g) Is the null hypothesis rejected?

• No
• Yes

(h) Is the claim supported?

• Yes, there is sufficient evidence to suggest that their new medication lowers blood pressure.
• No, there is not sufficient evidence to suggest that their new medication lowers blood pressure.