The claim that two categorical variables are independent means that: A. they're drawn from two independent...
The claim that two categorical variables are independent means that: A. they're drawn from two independent simple random samples. B. the probability of getting, by chance alone, a value of X2 as large as we did is less than .05. C. they have equal probabilities of occurring if the null hypothesis is true. D. observed and expected values are the same. E. the conditional distributions of all values of one variable are the same.
Homework Answers
the claim that the categorial variables are independent means that the conditional distributions of all values of one variable are the same. as the categorail variables are those which are segregated based upon there quality and the conditional distribution does not affected by the other. hence option E is correct
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The claim that two categorical variables are independent means
that: A. they're drawn from two independent...
ject 4 Test the indicated claim about the means of two populations. Assume that the two...
ject 4 Test the indicated claim about the means of two populations. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use the traditional method or P-value method as indicated 11) A researcher was interested in comparing the salaries of female and male employees at a 11) particular company. Independent simple random samples of 8 female employees and 15 male employees yielded the following...
Question Completion Status: QUESTION 2 The Null Hypothesis (HO): O The two categorical variables are independent...
Question Completion Status: QUESTION 2 The Null Hypothesis (HO): O The two categorical variables are independent Op1 = P2 = ... = Pg, where g = 4 Homogeneity of distribution of a categorical response Goodness-of-fit test QUESTION 3 Significance level: a = a=0.05 Which test statistic would we use for the test? X-MO 2 = P - Po po(1-P) F = t= MSG MSE x-1 (0-1) E s/n (a) 72 (b) (c) (d) O 1.a O2.b O3.c 04.0 QUESTION 4...
1. You have two independent samples, X1,... , Xn and Y,... , Ym drawn from populations...
1. You have two independent samples, X1,... , Xn and Y,... , Ym drawn from populations with continuous distributions. Suppose the two samples are combined and the combined set of values are put in increasing order. Let Vr-1 if the value with rank r in the combined sample is a Y and V0 if it is an X, for r-1...., N, where N-m+n Show that, if the two populations are the same then mn The general linear rank statistic is...
1. You have two independent samples, Xi,..., Xn and Yi,... , Ym drawn from populations with...
1. You have two independent samples, Xi,..., Xn and Yi,... , Ym drawn from populations with continuous distributions. Suppose the two samples are combined and the combined set of values are put in increasing order. Let Vr- 1 if the value with rank r in the combined sample is a Y and V,-0 if it is an X, for r-1, . . . ,N, where N-m+ n. Show that, if the two populations are the same then mn E(V) TES...
(1 point) Test the claim that the two samples described below come from populations with the...
(1 point) Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n1 = 18, X1 = 20, $i = 5. Sample 2: n2 = 30, L2 = 15, S2 = 5. (a) The test statistic is (b) Find the t critical value for a significance level of 0.025 for an alternative hypothesis that the first population has a larger mean (one-sided test)....
8. Two independent random samples drawn from normal distributions have equal variances and means pli and...
8. Two independent random samples drawn from normal distributions have equal variances and means pli and M2. You are given • The sample mean from the first sample is 16.9. • The sample mean from the second sample is 22.1. • The number of observations from both samples combined is 17. • The upper bound of the 90% confidence interval for H1 - H2 is 1.44. Let tay be the critical value of a t random variable with v degrees...
8. Two independent random samples drawn from normal distributions have equal variances and means and p2....
8. Two independent random samples drawn from normal distributions have equal variances and means and p2. You are given The sample mean from the first sample is 16.9 The sample mean from the second sample is 22.1 The number of observations from both samples combined is 17 The upper bound of the 90% confidence interval for -2 is 1.44 Let tbe the critical value of a t random variable with v degrees of freedom. The foll owing table lists values...
(1 point) Test the claim that the two samples described below come from populations with the...
(1 point) Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Use a significance level of a = 0.05 Sample 1: n = 6, 11 = 25, $1 = 5.29 Sample 2: n2 = 17, I2 = 21.1, S2 = 5.84 (a) The degree of freedom is (b) The test statistic is (c) The final conclusion is A. We can reject the null hypothesis...
The difference of two independent normally distributed random variables is also normally distributed. We have used...
The difference of two independent normally distributed random
variables is also normally distributed. We have used this fact in
many of our derivations. Now, consider two independent and normally
distributed populations with unknown variances σ 2 X and σ 2 Y . If
we get a random sample X1, X2, . . . , Xn from the first population
and a random sample Y1, Y2, . . . , Yn from the second population
(note that both samples are of...
(1 point) Recall in the course we learnt how to display data of two categorical variables...
(1 point) Recall in the course we learnt how to display data of two categorical variables by means of a contingency table. In this question, we will formulate a measure to quantify the level of association between the two categorical variables. Such a measure is often used in a statistical test called Chi-square test for assessing whether there is an association between two categorical variables. This question is also used to motivate the learning of independence and to connect the...
ject 4 Test the indicated claim about the means of two populations. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use the traditional method or P-value method as indicated 11) A researcher was interested in comparing the salaries of female and male employees at a 11) particular company. Independent simple random samples of 8 female employees and 15 male employees yielded the following...
Question Completion Status: QUESTION 2 The Null Hypothesis (HO): O The two categorical variables are independent Op1 = P2 = ... = Pg, where g = 4 Homogeneity of distribution of a categorical response Goodness-of-fit test QUESTION 3 Significance level: a = a=0.05 Which test statistic would we use for the test? X-MO 2 = P - Po po(1-P) F = t= MSG MSE x-1 (0-1) E s/n (a) 72 (b) (c) (d) O 1.a O2.b O3.c 04.0 QUESTION 4...
1. You have two independent samples, X1,... , Xn and Y,... , Ym drawn from populations with continuous distributions. Suppose the two samples are combined and the combined set of values are put in increasing order. Let Vr-1 if the value with rank r in the combined sample is a Y and V0 if it is an X, for r-1...., N, where N-m+n Show that, if the two populations are the same then mn The general linear rank statistic is...
1. You have two independent samples, Xi,..., Xn and Yi,... , Ym drawn from populations with continuous distributions. Suppose the two samples are combined and the combined set of values are put in increasing order. Let Vr- 1 if the value with rank r in the combined sample is a Y and V,-0 if it is an X, for r-1, . . . ,N, where N-m+ n. Show that, if the two populations are the same then mn E(V) TES...
(1 point) Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n1 = 18, X1 = 20, $i = 5. Sample 2: n2 = 30, L2 = 15, S2 = 5. (a) The test statistic is (b) Find the t critical value for a significance level of 0.025 for an alternative hypothesis that the first population has a larger mean (one-sided test)....
8. Two independent random samples drawn from normal distributions have equal variances and means pli and M2. You are given • The sample mean from the first sample is 16.9. • The sample mean from the second sample is 22.1. • The number of observations from both samples combined is 17. • The upper bound of the 90% confidence interval for H1 - H2 is 1.44. Let tay be the critical value of a t random variable with v degrees...
8. Two independent random samples drawn from normal distributions have equal variances and means and p2. You are given The sample mean from the first sample is 16.9 The sample mean from the second sample is 22.1 The number of observations from both samples combined is 17 The upper bound of the 90% confidence interval for -2 is 1.44 Let tbe the critical value of a t random variable with v degrees of freedom. The foll owing table lists values...
(1 point) Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Use a significance level of a = 0.05 Sample 1: n = 6, 11 = 25, $1 = 5.29 Sample 2: n2 = 17, I2 = 21.1, S2 = 5.84 (a) The degree of freedom is (b) The test statistic is (c) The final conclusion is A. We can reject the null hypothesis...
The difference of two independent normally distributed random
variables is also normally distributed. We have used this fact in
many of our derivations. Now, consider two independent and normally
distributed populations with unknown variances σ 2 X and σ 2 Y . If
we get a random sample X1, X2, . . . , Xn from the first population
and a random sample Y1, Y2, . . . , Yn from the second population
(note that both samples are of...
(1 point) Recall in the course we learnt how to display data of two categorical variables by means of a contingency table. In this question, we will formulate a measure to quantify the level of association between the two categorical variables. Such a measure is often used in a statistical test called Chi-square test for assessing whether there is an association between two categorical variables. This question is also used to motivate the learning of independence and to connect the...
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