Question

In: Statistics and Probability

1. Hypothesis Test for Two Population Means, Independent Samples, Population Variances Unknown and Not Assumed to...

1. Hypothesis Test for Two Population Means, Independent Samples, Population Variances Unknown and Not Assumed to be Equal (5 points)

Group Statistics
	Specialty	N	Mean	Std. Deviation	Std. Error Mean
Enrollment	Research	17	596.235	163.2362	39.5906
Enrollment	Primary Care	16	481.500	179.3957	44.8489

Independent Samples Test
		Levene's Test for Equality of Variances		t-test for Equality of Means
		F	Sig.	t	df	Sig. (2-tailed)	Mean Difference	Std. Error Difference	90% Confidence Interval of the Difference
									Lower	Upper
Enrollment	Equal variances assumed	.077	.783	1.924	31	.064	114.7353	59.6475	13.6018	215.8688
	Equal variances not assumed			1.918	30.260	.065	114.7353	59.8234	13.2271	216.2435

To include in your submission for Problem 1:

ü Copy and paste both tables into your Word document below your name. If needed, please adjust the size

of the tables so that they fit on the page.

ü Since we are not assuming that the variances are equal for this test, please remember to use the

“Equal variances not assumed” row to answer the questions regarding your hypotheses.

ü Then type in the answers to questions a-e below your output.

a. Type the hypotheses.

b. Type in the test statistics for this independent t-test from the SPSS output.

c. Type in the p-value found from the SPSS output.

d. Type in your decision regarding the null hypothesis.

e. Type in your conclusion using context and units from the problem.

Expert Solution

orchestra answered 2 years ago

Indicate if the hypothesis test is for a. independent group means, population standard deviations, and/or variances known...

Indicate if the hypothesis test is for a. independent group means, population standard deviations, and/or variances known b. independent group means, population standard deviations, and/or variances unknown c. matched or paired samples d. single mean e. two proportions f. single proportion 1. It is believed that 70% of males pass their drivers test in the first attempt, while 65% of females pass the test in the first attempt. Of interest is whether the proportions are in fact equal. 2. A new...

Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means F Sig....

Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means F Sig. t df Sig. (2-tailed) F1 Equal variances assumed 12,130 ,151 -1,967 194 ,052 Equal variances not assumed -2,010 184,290 ,046 A researcher thinks that mean value for F1 of the male is bigger than that of female. (mu1 female, mu2 male) Write down the hypothesis, p- value and conclusion.

Hypothesis Test for Difference in Population Means (σσ Unknown) You wish to test the following claim...

Hypothesis Test for Difference in Population Means (σσ Unknown) You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1≠μ2Ha:μ1≠μ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. We will assume that the population variances are not equal. You obtain a sample of size n1=14n1=14 with a mean of M1=78.1M1=78.1 and a standard deviation of SD1=5.6SD1=5.6 from the first population. You obtain a sample of size...

The Independent Samples t-Test compares the means of two independent groups to determine whether there is...

The Independent Samples t-Test compares the means of two independent groups to determine whether there is statistical evidence that the associated population means are significantly different. The Independent Samples t-Test is a parametric test. Give an example of two variables you would compare, what your theory is and the hypothesis, and how you would find the independent samples t-test in SPSS.

A hypothesis will test that two population means are equal. A sample of 10 with a...

A hypothesis will test that two population means are equal. A sample of 10 with a standard deviation of 3 is selected from the first population and a sample of 15 with a standard deviation of 8 from the second population. The standard deviations are not equal. Testing the claim at the 0.01 level, what is the critical value? Assume unequal standard deviations. Please explain and show your work. Thank you!

5. TWO (INDEPENDENT) SAMPLE T-TEST (a) Describe the independent samples t-test for two means briefly. How...

5. TWO (INDEPENDENT) SAMPLE T-TEST (a) Describe the independent samples t-test for two means briefly. How does it do it? (b) State the null and the alternative hypothesis. (c) State the assumptions. (d) State the formula for the test statistic. (e) State the rejection rule with (How to reject the null hypothesis) (f) Give an real life example of how we can use the independent samples t-test for two means.

TWO (INDEPENDENT) SAMPLE T-TEST (a)Describe the independent samples t-test for two means brieﬂy. How does it...

TWO (INDEPENDENT) SAMPLE T-TEST (a)Describe the independent samples t-test for two means brieﬂy. How does it do it? (b) State the null and the alternative hypothesis. (c) State the assumptions. (d) State the formula for the test statistic. (e) State the rejection rule with (How to reject the null hypothesis) (f) Give an real life example of how we can use the independent samples t-test for two means.

Suppose independent random samples that are taken to test the difference between the means of two...

Suppose independent random samples that are taken to test the difference between the means of two populations (n1 = 66 and n2 =46). The variances of the populations are unknown but are assumed to be unequal. The sample standard deviations are s1=82 and s2=68. The appropriate distribution to use is the: A) t distribution with df = 110 B ) t distribution with df = 107 C) t distribution with df = 106 D) F distribution with numerator df =...

This question involves the 2-SampleFTest test for comparing two unknown population variances (or SD’s) and the...

This question involves the 2-SampleFTest test for comparing two unknown population variances (or SD’s) and the ANOVA test include: 1. Clear statement of hypotheses, with the correct parameter(s) 2. An indication of the test used 3. The test statistic and p-value 4. An indication of the statistical decision (i.e. whether or not to reject Ho) along with an explanation. 5. An interpretation of the statistical decision in the context of the problem. The annual salaries for a random sample...

CH10. 1. Consider the following hypothesis test. The following results are for two independent samples taken...

CH10. 1. Consider the following hypothesis test. The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n 1 = 80 n 2 = 70 x 1 = 104 x 2 = 106 σ 1 = 8.4 σ 2 = 7.6 What is the value of the test statistic? If required enter negative values as negative numbers (to 2 decimals). What is the p-value (to 4 decimals)? Use z-table. 2. The USA Today...