x |
-0.866814795 |
0.246760949 |
-1.941532121 |
-1.349364804 |
-1.2719308 |
0.041524942 |
-1.260881767 |
-1.919982531 |
1.069766838 |
0.126693327 |
0.56232258 |
-3.477629996 |
-0.50921569 |
-1.041538702 |
0.927902673 |
-1.886318642 |
-0.947717933 |
-0.517901391 |
0.464380212 |
0.669566568 |
-1.871671743 |
0.871785352 |
0.454823474 |
-1.484602438 |
0.196486146 |
-0.296430492 |
0.310630635 |
-0.99949377 |
1.517300693 |
0.51442553 |
1.042602278 |
-0.946326752 |
-1.235822297 |
0.195479473 |
1.153261165 |
-2.401193004 |
-0.309749812 |
-1.197759389 |
0.648040849 |
0.227328284 |
-3.18840536 |
1.533954067 |
-0.003152563 |
0.510618268 |
-0.632352932 |
1.546035914 |
-0.046914203 |
-3.313719129 |
-0.668958723 |
-1.692939866 |
-0.630330374 |
-1.703667561 |
-1.796672624 |
0.02399107 |
0.810327704 |
0.881329225 |
-2.460992201 |
0.00739322 |
0.985632034 |
0.68582808 |
-0.696083097 |
-0.040699229 |
-0.223475501 |
2.288817442 |
-2.342788745 |
1.210997479 |
-2.039779613 |
-2.918206794 |
-0.75831006 |
0.255096769 |
0.088790435 |
1.922839486 |
3.629661875 |
-2.224789801 |
-0.40786832 |
0.144902184 |
1.526375332 |
-0.51334803 |
-0.653129602 |
0.990575862 |
0.944063474 |
0.449693299 |
-2.47490641 |
0.693052234 |
-0.049980378 |
-0.938827743 |
0.715943848 |
-1.824928377 |
-1.548146999 |
-1.485329409 |
2.518166289 |
-0.850357131 |
-0.501121251 |
-1.344041161 |
-3.928113465 |
-1.403579215 |
-0.288223637 |
-0.112644625 |
0.314366646 |
-0.097004813 |
0.84138832 |
0.875335524 |
-1.350918043 |
-1.774707365 |
-1.551614446 |
-1.038060235 |
-1.519519034 |
-1.135505366 |
-0.604088976 |
-1.355424015 |
-1.730459217 |
0.887236791 |
0.434089315 |
-0.779106458 |
-1.295212792 |
There are 115 independent observations on a random variable X. It is known that σ^{2}=1.4934.
In your answer, you should state the null and alternative hypotheses, the significance level, the PDF of the test statistic under the null hypothesis, the value of the test statistic, the p-value, and your conclusion.
x -0.866814795 0.246760949 -1.941532121 -1.349364804 -1.2719308 0.041524942 -1.260881767 -1.919982531 1.069766838 0.126693327 0.56232258 -3.477629996 -0.50921569 -1.041538702 0.927902673...
Mean = -0.92809 This file contains independent observations on a random variable X. It is known that a2-1.4246. a. Test Ho : E(X) 1.6 against H1 : E(X)>1.6 using a significance level of 1%. In your answer, you should state the null and alternative hypotheses, the significance level, the PDF of the test statistic under the null hypothesis, the value of the test statistic, and your conclusion. b. Do you need to make any assumptions in order for your test...
Can a pretest on mathematics skills predict success in a statistics course? The 82 students in an introductory statistics class took a pretest at the beginning of the semester. The least-squares regression line for predicting the score y on the final exam from the pretest score x was ŷ = 9.8 + 0.74x. The standard error of b1 was 0.41. (a) Test the null hypothesis that there is no linear relationship between the pretest score and the score on the...
Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately σ2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 41 women in rural Quebec gave a sample variance s2 = 2.7. Use a 5% level of significance to test the claim that the current variance is less than 5.1. (a) What is the...
Can a pretest on mathematics skills predict success in a statistics course? The 82 students in an introductory statistics class took a pretest at the beginning of the semester. The least-squares regression line for predicting the score y on the final exam from the pretest score x was ŷ = 9.4 + 0.78x. The standard error of b1 was 0.44. (a) Test the null hypothesis that there is no linear relationship between the pretest score and the score on the...
The data in this file are the differences in productivity of workers measured before and after they undertake a training program. Compute the p-value for the null hypothesis that the training program makes no difference to productivity. Using a significance level of 5% and a two-sided alternative hypothesis, do you reject H0? Do you need to make any assumptions in order for your test to be valid? In your answer, you should state the null and alternative hypotheses, the significance...
A machine that puts corn flakes into boxes is adjusted to put an average of 15.3 ounces into each box, with standard deviation of 0.23 ounce. If a random sample of 15 boxes gave a sample standard deviation of 0.36 ounce, do these data support the claim that the variance has increased and the machine needs to be brought back into adjustment? (Use a 0.01 level of significance.) (i) Give the value of the level of significance. 0.01 State the...
A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance σ2 = 42.3. In a different section of Chaco Canyon, a random sample of 19 transects gave a sample variance s2 = 51.5 for...
Given the following null and alternative hypotheses, the test statistic from the sample data is z=1.875z=1.875. If the significance level of 0.05 which results in a critical value of 1.645, what is the conclusion as it relates to the null hypothesis? H0:p=0.22 H1:p>0.22 Fail to reject the alternative hypothesis Reject the null hypothesis Fail to reject the null hypothesis Support the null hypothesis
A machine that puts corn flakes into boxes is adjusted to put an average of 15.8 ounces into each box, with standard deviation of 0.22 ounce. If a random sample of 10 boxes gave a sample standard deviation of 0.39 ounce, do these data support the claim that the variance has increased and the machine needs to be brought back into adjustment? (Use a 0.01 level of significance.) (i) Give the value of the level of significance. State the null...
Let x represent the number of mountain climbers killed each year. The long-term variance of x is approximately σ2 = 136.2. Suppose that for the past 7 years, the variance has been s2 = 119.0. Use a 1% level of significance to test the claim that the recent variance for number of mountain-climber deaths is less than 136.2. Find a 90% confidence interval for the population variance. (a) What is the level of significance? State the null and alternate hypotheses....