3. Calculate the p-value (3dp) for a t-test on the chol.csv data with the correct null...

3. Calculate the p-value (3dp) for a t-test on the chol.csv data with the correct null hypothesis from the lab test exercise.

4.Using Fishers F-test determine whether you can accept or reject the null hypothesis that there is no difference between the variances of the day_2 and day_4 samples.

chol.csv

day_2	day_4
270	218
236	234
210	214
142	116
280	200
272	276
160	146
220	182
226	238
242	288
186	190
266	236
206	244
318	258
294	240
282	294
234	220
224	200
276	220
282	186
360	352
310	202
280	218
278	248
288	278
288	248
244	270
236	242

Solutions

Expert Solution

3. H0: There is no significance difference between the means of day_2 and day_4

H1: There is significance difference between the means of day_2 and day_4

Let the los be alpha = 5%

From the given data

Critical t: ±2.004877
P-Value: 0.0712

Degrees of freedom: 54.0000

Here t value is lies between t critical value and p-value > alpha 0.05 so we accept H0

Thus we conclude that There is no significance difference between the means of day_2 and day_4

4. H0: There is no significance difference between the variance of day_2 and day_4

H1: There is significance difference between the variance of day_2 and day_4

Let the los be alpha = 5%

Test Statistic, F: 1.0319
Lower Critical F: 0.4627611
Upper Critical F: 2.160946
P-Value: 0.9356

Here F value is lies between F critical values and P-value is > alpha 0.05 so we accept H0

Thus we conclude that there is no significance difference between the variance of day_2 and day_4

orchestra answered 1 year ago

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