Hypothesis Test: Difference Between Means Sample A: 35 Observations, Mean = 10.255, Variance=0.310 Sample B :...

Hypothesis Test: Difference Between Means

Sample A: 35 Observations, Mean = 10.255, Variance=0.310

Sample B : 20 Observations, Mean= 9.004, Variance= 0.831

H0: μA – μB= 0

H1: μA – μB ≠ 0

alpha=0.05

Can you run a hypothesis test for the difference between two means?

Expert Solution

milcah answered 1 year ago

Hypothesis Testing and Confidence Intervals for Proportions and Hypothesis Test for Difference between Two Means A...

Hypothesis Testing and Confidence Intervals for Proportions and Hypothesis Test for Difference between Two Means A pharmaceutical company is testing a new cold medicine to determine if the drug has side affects. To test the drug, 8 patients are given the drug and 9 patients are given a placebo (sugar pill). The change in blood pressure after taking the pill was as follows: Given drug: 3 4 5 1 -2 3 5 6 Given placebo: 1 -1 2 7 2...

You want to test your hypothesis below: There is a difference in mean test scores between...

You want to test your hypothesis below: There is a difference in mean test scores between two classes: Class 1 vs. Class 2 Provide your answers in the template below the data set. class 1 class 2 15 15 23 12 22 17 18 17 19 19 18 17 15 17 19 18 16 13 21 20 15 19 14 21 20 21 23 14 19 19 17 17 17 17 21 18 7 13 16 20 14 19...

What is the difference between a test of independent means and a test of dependent means,...

What is the difference between a test of independent means and a test of dependent means, and when is each appropriate?

In a 2 sample test for a difference in means, if we fail to reject the null hypothesis, we conclude

In a 2 sample test for a difference in means, if we fail to reject the null hypothesis, we concludea. There is evidence that the 2 population means are equal to each otherb. There is evidence that the 2 sample means are equal to each otherc. There is evidence that the 2 population means are not equal to each otherd. There is evidence that the 2 sample means are not equal to each othere. There is no evidence that...

A sample of 35 observations is selected from a normal population. The sample mean is 26,...

A sample of 35 observations is selected from a normal population. The sample mean is 26, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 25 H1: μ > 25 Is this a one- or two-tailed test? "One-tailed"—the alternate hypothesis is greater than direction. "Two-tailed"—the alternate hypothesis is different from direction. What is the decision rule? (Round your answer to 2 decimal places.) What is the value of...

A random sample of 42 observations is used to estimate the population variance. The sample mean...

A random sample of 42 observations is used to estimate the population variance. The sample mean and sample standard deviation are calculated as 74.5 and 5.6, respectively. Assume that the population is normally distributed. a. Construct the 90% interval estimate for the population variance. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) b. Construct the 99% interval estimate for the population variance. (Round intermediate calculations to at least 4 decimal places and...

A random sample of 27 observations is used to estimate the population variance. The sample mean...

A random sample of 27 observations is used to estimate the population variance. The sample mean and sample standard deviation are calculated as 44 and 4.5, respectively. Assume that the population is normally distributed. (You may find it useful to reference the appropriate table: chi-square table or F table) a. Construct the 95% interval estimate for the population variance. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) b. Construct the 99% interval...

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!

Differentiating pooled variance and the estimated standard error of the difference in sample means

Differentiating pooled variance and the estimated standard error of the difference in sample means For the independent-measures t test, which of the following describes the pooled variance (whose symbol is sp2 )? The difference between the standard deviations of the two samples The variance across all the data values when both samples are pooled together A weighted average of the two sample variances (weighted by the sample sizes) An estimate of the standard distance between the difference in sample means (M1 - M2) and the...

Consider the following hypothesis test. H0: μ ≥ 35 Ha: μ < 35 A sample of...

Consider the following hypothesis test. H0: μ ≥ 35 Ha: μ < 35 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 34 and s = 5.2 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) *PLEASE GO INTO DETAIL WHEN EXPLAINING THIS STEP! How do you...

Question