From previous large studies of women drawn at random from th

From previous large studies of women drawn at random from the healthy general public, a resting systolic blood pressure of = 120 was predicted as the population mean for the relevant age group. Consider 10 first year resident female doctors drawn at random from one area, resting systolic blood pressures measured using an electronic sphygmomanometer were:

128

118

144

133

132

111

149

139

136

126

1. Write null and alternative hypotheses (in words and notation) appropriate for this research scenario.

2. Calculate the mean, median, mode, variance and standard deviation for the data.

3. Compute a single sample t-test to test the hypotheses, use an = .05, two-tailed. Clearly describe the independent and dependent variables.

4. Next compute a one-tailed test, = .05.

5. Write a results paragraph that interprets and explains the results of your tests.

Solution

Set Up Hypothesis
1)
Null, H0: U=120
Alternate, H1: U!=120
3)
Test Statistic
Population Mean(U)=120
Sample X(Mean)=131.6
Standard Deviation(S.D)=11.48
Number (n)=10
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =131.6-120/(11.48/Sqrt(9))
to =3.195
| to | =3.195
Critical Value
The Value of |t | with n-1 = 9 d.f is 2.262
We got |to| =3.195 & | t | =2.262
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
P-Value :Two Tailed ( double the one tail ) -Ha : ( P != 3.1953 ) = 0.0109
Hence Value of P0.05 > 0.0109,Here we Reject Ho

4)
AT ONE TAIL
Null, H0: U=120
Alternate, H1: U>120

Critical Value
The Value of |t | with n-1 = 9 d.f is 1.833
We got |to| =3.195 & | t | =1.833
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
P-Value :Right Tail - Ha : ( P > 3.1953 ) = 0.00546
Hence Value of P0.05 > 0.00546,Here we Reject Ho