Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.05 level of significance with 15 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the a = 0.05 level of significance based on a sample size of n= 10. (c) Determine the critical value(s) for a two-tailed test of a population mean at the a = 0.01 level of significance based on a sample size of n = 11.

A traffic safety company publishes reports about motorcycle fatalities and helmet use. In the first accompanying data table, the distribution shows the proportion of fatalities by location of injury for motorcycle accidents. The second data table shows the location of injury and fatalities for 2073 riders not wearing a helmet. Complete parts (a) and (b) below. (a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use α = 0.10 level of significance. What are the null and alternative hypotheses? A. Ho: The distribution of fatal injuries for riders not wearing a helmet follows the same distribution for all other riders. H₁: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. B. Ho: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. H₁: The distribution of fatal injuries for…

​(a) Find the critical​ value(s) assuming that the population variances are equal. ​(b) Find the critical​ value(s) assuming that the population variances are not equal.

Opposing a random sample of size and equal 16A sample average of 185 it is observed the P value of the sample statistic is

(c) For a two-tailed test using the t-distribution, if the sample size is 10, find out the critical values based on the given significance levels: (1) a = 0.1, (2) a = 0.05, and (3) a = 0.01. %3D

Which would be the appropriate way to test differences in proportions for more than two samples?     t-test if variance is unknown     z-test     paired t-test     F-test for equality of variances     cross-tabulation procedure to conduct a chi-square test

To determine diet quality, male weanling rats were fed diets with various protein levels. Each of 15 rats was randomly assigned to one of three diets, and their weight gain in grams was recorded in the following table: Diet protein level Medium Low High 9.72 8.54 9.19 9.67 9.32 11.11 8.15 8.76 14.45 6.75 9.30 10.39 9.55 10.45 12.16 Sample Mean Sample Variance 1.696 8.768 9.274 11.460 0.547 3.963 Suppose we fit the data with the following model: Xij = µ+a; + Eij, i = 1, 2, 3; j= 1,., 5, N(0, o²) independently. Define X;. i = 1,2, 3, X. = 1=1 Xij, and SS(E) = E-1E=1(Xij – X;.)². E- Xij for where a1 + a2 + az = 0 and Eij Some R output that may help. > p1 qf (p1, 2, 12) [1] 0.010 0.025 0.052 0.106 2.807 3.885 5.096 6.927 > qf (p1, 2, 14) [1] 0.010 0.025 0.051 O.106 2.726 3.739 4.857 6.515 > qf (p1, 3, 12) [1] 0.037 0.070 0.114 O.192 2.606 3.490 4.474 5.953 > qf (p1, 3, 14) [1] 0.037 0.070 0.115 0.192 2.522 3.344 4.242 5.564

(b) For a one-tailed test using the t-distribution, if the sample size is 20, find out the critical values based on the given significance levels: (1) a = 0.1, (2) a = 0.05, and (3) a = 0.01.

A researcher wants to measure average cardiovascular health of university students and compare those scores to the average scores in the general population. Assuming that population variance is known, what statistical test is most appropriate for this study?        independent-samples t-test     single-sample t-test     z-test for sample mean     related-samples t-test

At a 0.05, test to see if the population variances from which the following samples were drawn are equal. The test statistic is Group 1 n₁ = 21 Group 2 n₂ = 19 $1 = 20 S2 = 18 (A) 1.56 (B) 1.23 (C) 1.26 (D) 1.11