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 3 years ago
Next > < Previous

Related Solutions

In a hypothesis test, the null hypothesis of < 81 is rejected because the P-value was...
In a hypothesis test, the null hypothesis of < 81 is rejected because the P-value was 0.0465. The sample size “n” was 55 and the sample mean was 84.5. Find the value of the population standard deviation “σ”.
Consider the following. (a) For the same data and null hypothesis, is the P-value of a...
Consider the following. (a) For the same data and null hypothesis, is the P-value of a one-tailed test (right or left) larger or smaller than that of a two-tailed test? Explain your answer. The P-value for a one-tailed test is smaller because the two-tailed test includes the area in only one tail.The P-value for a one-tailed test is smaller because the two-tailed test includes the area in both tails.     The P-value for a one-tailed test is larger because the two-tailed test...
Consider the following. (a) For the same data and null hypothesis, is the P-value of a...
Consider the following. (a) For the same data and null hypothesis, is the P-value of a one-tailed test (right or left) larger or smaller than that of a two-tailed test? Explain your answer. The P-value for a one-tailed test is smaller because the two-tailed test includes the area in only one tail. The P-value for a one-tailed test is larger because the two-tailed test includes the area in only one tail. The P-value for a one-tailed test is smaller because...
Find the P - value for the test statistic z=−1.41 for the following null and alternative...
Find the P - value for the test statistic z=−1.41 for the following null and alternative hypotheses: H0: The population mean is 50.   Ha: The population mean is less than 50.   The P - value is   (b) Find the P - value for the test statistic z=−1.41 for the following null and alternative hypotheses: H0: The population mean is 50.   Ha: The population mean is not equal to 50.   The P - value is
Calculate the test statistic and p-value for each sample. Use Appendix C-2 to calculate the p-value....
Calculate the test statistic and p-value for each sample. Use Appendix C-2 to calculate the p-value. (Negative values should be indicated by a minus sign. Round your test statistic to 3 decimal places and p-value to 4 decimal places.) Test Statistic p-value   (a) H0: ππ ≤ 0.45 versus H1: ππ > 0.45, α = 0.05, x = 43, n = 82           (b) H0: ππ = 0.30 versus H1: ππ ≠ 0.30, α = 0.05, x = 17, n...
Calculate the test statistic and p-value for each sample. Use Appendix C-2 to calculate the p-value....
Calculate the test statistic and p-value for each sample. Use Appendix C-2 to calculate the p-value. (Negative values should be indicated by a minus sign. Round your test statistic to 3 decimal places and p-value to 4 decimal places.) Test Statistic p-value (a) H0: ππ ≤ .50 versus H1: ππ > .50, α = .05, x = 50, n = 87 (b) H0: ππ = .30 versus H1: ππ ≠ .30, α = .05, x = 19, n = 37...
find the critical t value used to test a null hypothesis if a=0.05 for a two...
find the critical t value used to test a null hypothesis if a=0.05 for a two tailed test with 12 degrees of freedom
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses both the claim and the significance level alpha. Use the P-value method. A sample of 17 jellybeans with a mean weight of 0.8295 g was taken. Assume that σ is known to be 0.0565 g. Consider a hypothesis test that uses a 0.05 significance level to test the claim that the mean weight of all jellybeans is equal to 0.8550 g...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Various temperature measurements are recorded at different times for a particular city. The mean of 20°C is obtained for 60 temperatures on 60 different days. Assuming that test the claim that the population mean is 22°C . Use a 0.05 significance level. Testing Hypothesis Z-Table
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. a) A poll of 1068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 level of significance, test the claim that at least half of all voters prefer the Democrat. b) In a sample of 167 children selected randomly from one town, it is found that 37 of...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT