Question

In: Statistics and Probability

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 2 years ago
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