Task A: Find critical value for the test of significance in each of the given information.
Show solutions.
1.)One-tailed test, o^2 is known, a = 0.05, n = 134
Answer: z= 1.645
Solution:
2.)Two-tailed test, o^2 is known, a = 0.05, n = 145
Answer:
Solution:
3.)Two-tailed test, o^2 is known, a = 0.01, n =160
Answer: z= 2.575
Solution:
4.)One-tailed test, o^2 is known, a= 0.10, n = 270
Answer:
Solution:
Task B: Do the following. Show solution.
It is believed that in the coming election, 65% of the voters in the province of Pampanga will vote for the administration candidate for governor. Suppose 713 out of the 1 150 randomly selected voters indicate that they
would vote for the administration candidate. At 0.10 level of significance, find out whether the percentage of voters for the administration candidate is different from 65%.
A.) Alpha value
Answer:
Solution:
B.) Critical value
Answer: z= 1.28
Solution:
Task C:
Create real-life situations where knowledge about the concepts of random variables and probability distribution can be
applied.
Note: Please paste the links of the sources in case you're using sources so that I can study. Thanks.
Note: I will attached z and t-table if you need it. Thanks, tutor.
TABLE 1 The entries in the body of the table correspond to the area shaded under the normal curve. I 3.3 3.1 3.2 3.3 3.4 3.5 3.3 3.? 3.3 3.3 1.3 1.1 1.2 1.3 1.4 1.5 1.3 1.? 1.3 1.3 2.3 2.1 2.2 2.3 2.4 2.5 2.3 2.? 2.3 2.3 3.3 3.1 3.2 3.3 3.4 3.5 3.3 3.? 3.3 3.3 3.33 3.3333 3.3333 3.3?33 3.1 1?3 3.1554 3.1315 3.225? 3.2533 3.2331 3.3153 3.3413 3.3343 3.3343 3.4332 3.4132 3.4332 3.4452 3.4554 3.4341 3.4?13 3.4??2 3.4321 3.4331 3.4333 3.4313 3.4333 3.4353 3.4335 3.43?4 3.4331 3.433? 3.4333 3.4333 3.4335 3.433? 3.4333 3.4333 3.4333 3.4333 3.5333 Normal Curve Areas 3.31 3.3343 3.3433 3.3332 3.121? 3.1531 3.1353 3.2231 3.231 1 3.2313 3.3133 3.3433 3.3335 3.3333 3.4343 3.423? 3.4345 3.4433 3.4534 3.4343 3.4?13 3.4??3 3.4323 3.4334 3.4333 3.4323 3.4343 3.4355 3.4333 3.43?5 3.4332 3.433? 3.4331 3.4333 3.4335 3.433? 3.4333 3.4333 3.4333 3.4333 3.5333 3.32 3.3333 3.34?3 3.33?1 3.1255 3.1323 3.1335 3.2324 3.2342 3.2333 3.3212 3.3431 3.3333 3.3333 3.4333 3.4222 3.435? 3.44?4 3.45?3 3.4353 3.4?23 3.4?33 3.4333 3.4333 3.4333 3.4322 3.4341 3.4353 3.433? 3.43?3 3.4332 3.433? 3.4331 3.4334 3.4335 3.433? 3.4333 3.4333 3.4333 3.4333 3.5333 3.33 3.3123 3.351 ? 3.3313 3.1233 3.1334 3.2313 3.235? 3.23?3 3.233? 3.3233 3.3435 3.3?33 3.333? 3.4332 3.4233 3.43?3 3.4434 3.4532 3.4334 3.4?32 3.4?33 3.4334 3.43?1 3.4331 3.4325 3.4343 3.435? 3.4333 3.43?? 3.4333 3.4333 3.4331 3.4334 3.4333 3.433? 3.4333 3.4333 3.4333 3.4933 3.5333 3.34 3.3133 3.355? 3.3343 3. 1331 3. 1 ?33 3.2354 3.2333 3.2?33 3.2335 3.3234 3.3533 3.3?23 3.3325 3.4333 3.4251 3.4332 3.4435 3.4531 3.43?1 3.4?33 3.4?33 3.4333 3.43?5 3.4334 3.432? 3.4345 3.4353 3.4333 3.43?? 3.4334 3.4333 3.4332 3.4334 3.4333 3.433? 3.4333 3.4333 3.4333 3.4933 3.5333 3.35 3.31 33 3.3533 3.333? 3. 1333 3. 1 ?33 3.2333 3.2422 3.2?34 3.3323 3.3233 3.3531 3.3?43 3.3344 3.41 15 3.4235 3.4334 3.4535 3.4533 3.43?3 3.4?44 3.4?33 3.4342 3.43?3 3.4333 3.4323 3.4343 3.4333 3.43?3 3.43?3 3.4334 3.4333 3.4332 3.4334 3.4333 3.433? 3.4333 3.4333 3.4333 3.4333 3.5333 3.33 3.3233 3.3333 3. 1323 3. 1433 3. 1 ??2 3.21 23 3.2454 3.2?34 3.3351 3.331 5 3.3554 3.3??3 3.3332 3.4131 3.42?3 3.4433 3.451 5 3.4333 3.4333 3.4?53 3.4333 3.4343 3.4331 3.4333 3.4331 3.4343 3.4331 3.43?1 3.43?3 3.4335 3.4333 3.4332 3.4334 3.4333 3.433? 3.4333 3.4333 3.4333 3.4333 3.5333 3 3.3? 3.32?3 3.33?5 3. 1334 3. 1443 3. 1333 3.21 5? 3.2433 3.2?34 3.33?3 3.3343 3.35?? 3.3?33 3.3333 3.414? 3.4232 3.441 3 3.4525 3.4313 3.4333 3.4?53 3.4333 3.4353 3.4334 3.431 1 3.4332 3.4343 3.4332 3.43?2 3.43?3 3.4335 3.4333 3.4332 3.4335 3.4333 3.433? 3.4333 3.4333 3.4333 3.4333 3.5333 3.33 3.331 3 3.3?14 3. \"i 1 33 3.1433 3.1344 3.21 33 3.251 ? 3.2323 3.31 33 3.3335 3.3533 3.3313 3.333? 3.41 32 3.4333 3.4423 3.4535 3.4325 3.4333 3.4?31 3.4312 3.4354 3.433? 3.431 3 3.4334 3.4351 3.4333 3.43?3 3.4333 3.4333 3.4333 3.4333 3.4335 3.4333 3.433? 3.4333 3.4333 3.4333 3.4333 3.5333 3.33 3.3353 3.3?53 3.1 141 3.1 51? 3.1 3?3 3.2224 3.2543 3.2352 3.31 33 3.3333 3.3321 3.3333 3.4315 3.41 ?? 3.4313 3.4441 3.4545 3.4333 3.4?33 3.4?3? 3.431? 3.435? 3.4333 3.4313 3.4333 3.4352 3.4334 3.43?4 3.4331 3.4333 3.4333 3.4333 3.4335 3.433? 3.4333 3.4333 3.4333 3.4333 3.4333 3.5333 The t-Table Degrees of Freedom Confidence Coefficient (amount of in two tails) 0.90 0.95 0.99 - 6.314 12.706 63.657 2.920 4.303 9.925 2.353 3.182 5.841 2.132 2.776 D DO J O UI A W N 4.604 2.015 2.571 4.032 1.943 2.447 3.707 1.895 2.365 3.499 8 1.860 2.306 3.355 10 1.833 2.262 3.250 11 10 1.812 2.228 3.169 12 11 1.796 2.201 3.106 13 12 1.782 2.179 3.055 14 13 1.771 2.160 3.012 15 14 1.761 2.145 2.977 16 15 1.753 2.131 2.947 17 16 1.746 2.120 2.921 18 17 1.740 2.110 2.898 19 18 1.734 2.101 2.878 20 19 1.729 2.093 2.861 21 20 1.725 2.086 2.845 22 21 1.721 2.080 2.831 23 22 1.717 2.074 2.819 24 23 1.714 2.069 2.807 25 24 1.711 2.064 2.797 26 25 1.708 2.060 2.787 27 26 1.706 2.056 2.779 28 27 1.703 2.052 2.771 29 28 1.701 2.048 2.763 30 29 1.699 2.045 2.756 31 30 1.697 2.042 2.750 41 40 1.684 2.021 2.714 61 60 1.671 2.000 2.660 1.645 1.960 2.576
