Which of the following are the assumptions for a Paired Samples t Test? Choose all assumptions which are appropriate. Random samples Expected values ≥ 5 Equal population variances Normal Sampling Distribution: np ≥ 5 & n(1-p) ≥ 5 Known population standard deviation Two outcomes Normal Sampling Distribution: n₁p₁ ≥ 5, n₁(1-p₁) ≥ 5 n₂p₂ ≥ 5 & n₂(1-p₂) ≥ 5 The proportion is constant Independent trials Independent samples Normal Sampling Distribution: n ≥ 30 or Population is normally distributed Unknown population standard deviation Fixed number of trials

Which samples show unequal variances?  Use a = .10 in all tests.  Show the critical values and degrees of freedom clearly and illustrate the decision rule. s1 = 10.2, n1 = 22, s2 = 6.4, n2 = 16, two-tailed test s1 = .89, n1 = 25, s2 = .67, n2 = 18, right tailed test s1 = 124, n1 = 12, s2 = 260, n2 = 10, left-tailed test

What are the values for SS and variance for the following sample of n = 3 scores? Sample:  8, 5, 2

can you find  two tailed test p value for given data  sample size 14 test statistics -2.23

HW10Q9

Question Heip How do the requirements for a chi-square test for a variance or standard deviation differ from a z-test or a t-test for a mean? Choose the correct answer below. OA A chi-square test can only be used when the population has a normal distribution. On the other hand, a z-test or a t-test can only be used when the sample size is at least 30. O B. A chi-square test can only be used when the population has a normal distribution. On the other hand, a z-test or a t-test can be used when either the population has a normal distribution or the sample size is at least 30. O C. Az-test or a t-test can only be used when the population has a normal distribution. On the other hand, a chi-square test can be used when either the population has a normal distribution or the sample size is at least 30. O D. Az-test or a t-test can only be used when the population has a normal distribution. On the other hand, a chi-square test can only be used when the sample size is at least 30. Click to…

Suppose that we have disjoint normal populations A and B and we want to find the standard error estimate for estimating the difference in their means.  We have an IRS from A of size 9  and an IRS from B of size 4.  The POOLED variance is 18.72.  What is the MARGIN OF ERROR for the 99 percent confidence interval for the difference of population means if we assume both populations have the same population variance? Group of answer choices

Do cars really get better mileage per gallon on the highway? The table shows results from a study of the MPG (miles per gallon) of cars both in the city and on the highway. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. At the 0.1 significance level, test the claim that the mpg on the highway is better than in the city. MPG on the Highway 35.6 34.3 32.2 33.9 31.1 27.1 33.3 33.4 29.3 33.5 31.4 33.2 33.5 30.8 33.8     MPG in the City 26.4 25.3 18.6 25.6 24.7 24.6 25.1 22.4 29.3 23.7 23.4 22 24 23.6 25.5     What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer p x̄₁ p₁ σ₁² μ₁ μ₂ μ μ(Highway) x̄₂ p̂₁ s₁² p₂  ? ≤ ≠ < ≥ = >  Select an answer p₁ p₂ p̂₁ μ(City) μ μ₁ μ₂ x̄₁ x̄₂ s₁² σ₁² p H1: Select an answer p₂ μ(Highway) p̂₂ σ₂² x̄₁ x̄₂ s₂² μ₁ μ₂ μ p₁ p  ? < ≠ = ≥ ≤ >  Select an answer p₂ p₁ μ₁ σ₁²…

Drug Trial ProblemClinical trials for a drug was conducted using a treatment group and a placebo group.  The results are shown in the table below.   Treatment Placebo μ μ₁ μ₂ n 33 38 x̄ 2.31 2.87 s 0.85 0.71 Use a 0.05 significance level to test the claim that the two samples are from populations with different means. State the final conclusion regarding the claim (using p-value). ______________  the HO since the p-value is   __________      the significance level α.

Treatment Placebo A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. H1 H2 n 26 34 2.32 2.66 0.61 0.99 "TPL P2 OC. Ho: H1 H2 The test statistic, t, is -1.64. (Round to two decimal places as needed.) The P-value is 0.107. (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. C. Fail to reject the null hypothesis. There is not sufficient evidence…