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February 27, 2015

February 27, 2015

Posted by **Jonhny** on Monday, July 21, 2014 at 4:35am.

Blood samples from 10 persons were sent to each of two labs for cholesterol determination. The measurements are recorded below:

Table 1. Serum Cholesterol measurements of Lab 1 and Lab 2

Subject Lab 1 Lab 2

1 296 318

2 268 287

3 244 260

4 272 279

5 240 245

6 244 249

7 282 294

8 254 271

9 244 262

10 262 285

Is there a statistical significant difference (at α = 0.01) in the cholesterol level reports by lab 1 and lab 2? Perform the following steps:

a. State in symbolic form the null and alternative hypothesis.

Answer: H0: μ = 0

H1: μ ≠0

b. Should you use the independent t test or the paired t test to answer this question?

Answer: (The paired t test)

c. Once you choose the appropriate t test, state:

a. α = (0.01 Answer)

b. degrees of freedom (df)=( 9 Answer)

c. Critical value=( ±3.2498 Answer)

d. Calculate the t test statistic = (-6.7270 Answer)

e. Provide the exact p-value = (0.0001 Answer)

f. Calculate 99% C.I. and interpret the confidence interval using one or two sentences.

Answer: -21.35663 < µd < -7.443366

Reject the Null Hypothesis

Sample provides evidence to reject the claim

g. State your conclusion (reject or fail to reject the null hypothesis)

Answer: Reject the null hypothesis

h. Express your conclusion in less technical terms (“there is or there is not a significant difference……..”)

Answer: Am not sure how to answer this one

i. Based on your conclusion state what type of error you might have made (Type I or Type II error).

Answer: Type I Error because it reject Ho

Thank you for your help.

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