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A blood sample was sent to two different Labs for cholesterol analysis and results are tabulated...

A blood sample was sent to two different Labs for cholesterol analysis and results are tabulated below:

Lab

Lab-1 (mg/100 mL)

Lab-2 (mg/100 mL)

Mean ±

243

258

Standard deviation s

15

13

# of measurments n

5

6

(i)Are the standard deviations s1 & s2 significantly different at 95% confidence level?

(ii)Are the means s1 & s2 significantly different at 90% confidence level?

(*Must use F-test and T-test to conclude above)

math   Statistics-And-Probability   
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Answer #1


From the given inform ati on Lab-1: n-5, 7- 243,and s-15 Lab-2 n,-6,--258, and s,-13 (i) Null hypothesis Ho:-2 Alternative hypothesis H1 : G # 51.331 Test stati stic a2 a(13) P-value-0.3737 The P-value-0.3737 is greater than the level of significance -0.05 we fail to reject the null hypothesis Therefore, there is a no significant difference between the two standard deviations at 95% confidence level (in) Null hypothesis Ho 4 A Alternative hypothesis : μ μ 243-258 The test statistic tca --1.754 P-value-0.1133 The P-value-0.1133 is greater than the level of significance a-0.10 we fail to reject the null hypothesis Therefore, there is no significant difference between the two means at 90% confidence level

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