Question 2
In one tailed T-test, if the test statistics is \(\mathrm{t}\) and \(\mathrm{t}_{0}\) is the t-value under null hypothesis, then \(\mathrm{p}\) -value \(=\operatorname{Pr}\left(\mathrm{t}<\mathrm{t}_{0} \mid\right.\) null hypothesis is true) if \(\mathrm{t}_{0}>0\) and p-value \(=\operatorname{Pr}\left(t>t_{0} \mid\right.\) null hypothesis is true) if \(t_{0}<0\).
Question 3
In a recent twin study from researchers at King's College London, the researchers wanted to first test whether identical twins show statistically significantly different thigh muscular power. To test this, they recruited 20 identical female twins. For this analysis,one-way ANOVA is preferred than the two group \(\mathrm{t}\) -test.
Question 4
In one-way ANOVA, a typical null hypothesis is: all means of groups are equal.
Question 5
$$ \text { In one-way ANOVA, we use } \chi^{2} \text { -test for the post hoc analysis. } $$
Question 6
In linear regression, population slope is always larger than sample slope.
U Question 7 2 pts In a recent twin studies from researchers at King's College London, the researchers wanted to test whether stronger thigh muscular power is an indicator of sharper minds. To test this, they recruited 162 female twins. For this analysis, the linear regression is preferred than the one-way ANOVA O True False Question 8 2 pts Lease Significant Difference (LSD) method post hoc analysis of one-way ANOVA is same as independent two group t-test. True False Panther...
A) A one-way ANOVA test: is a left-tailed test is a right-tailed test is a two-tailed test Can be either a right-tailed or a left-tailed test 1.B) The p-value of the ANOVA F test is a. Area below (left) the value of the test statistic of the corresponding F distribution b. Area above (right) the value of the test statistic of the corresponding F distribution c. Half of the area above (right) the value of the test statistic of the corresponding...
One tailed t-test O One tailed z-test Question 14 4 pts Which of the following statements most adequately summarizes the conclusion statement resulting from a p-value of 0.03? O We fail to reject the null hypothesis at the alpha level 0.1 We reject the null hypothesis at the alpha level of 0.05 We reject the null hypothesis at the alpha level of 0.01 O We fail to reject the null hypothesis at the alpha level 0.05 Question 15 4 pts
In a one-tailed t-test, the null hypothesis is H0: population β1≥0. If the test statistic = – 1.529, and the critical value you find from the t-table is 2.164, do you reject the null hypothesis?
In a one way-ANOVA with F test, the F value tends to decrease when: SStotal increases SStotal decreases SSwithin increases SSbetween increases Tukey's honestly significant difference (HSD) test of post-hoc analysis should be used only if: the omnibus null hypothesis in an AVOVA is retained. the omnibus null hypothesis in an AVOVA is rejected. the all the groups have the same sample size. the distributions are skewed.
11. What is the null hypothesis for a t-test for two independent groups? a. If mul and mu2 are the population means of the two groups, then the null hypothesis is Ho: mul-mu2=0. b. If sl and s2 are the population standard deviations of the two groups, then the null hypothesis is Ho: sl-s2=0. 12. Differentiate between a data set that should be analyzed using a paired t-test from a data set that should be analyzed using a t-test for...
You are performing a left-tailed t-test with a sample size of 21. If α=.05α=.05, and your test statistic is t=−2.89t=-2.89, do you: fail to reject the null hypothesis reject the null hypothesis You will either want to either: Calculate the critical value and compare the test statistic to it. Calculate the p-value and compare it to the significance.
Help with these questions related to statistics! Select the statements that are always true about two sample t-tests: If the populations are assumed to have unequal variances, we use Welch's t-test It is not required for the two samples to be independent The sample sizes do not have to be equal 0 0 0 If the populations are assumed to have equal variances, we use Welch's t-test If the p-value from our test is .03, the null hypothesis should be...
In a two tailed (non-directional) t-test, if the null hypothesis is true, what is the t value ? 0? 10? -2? or not equal to 0?
Suppose you are planning to use a t test for independent groups to tast the following one-tailed hypotheses you want to maximize the power of your study, you are considering which factors might increase power so th can adjust your plans to incorporate them, if possible, before conducting your research you The following are your considerations for increasingp ower. Fill in any missing words/values. (Hint: Remember that for this alternative hypothesis, you will reject the null hypothesis for large values...