The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2 A random sample of 8 observations from one population revealed a sample mean of 23 and a sample standard deviation of 4.6. A random sample of 8 observations from another population revealed a sample mean of 27 and a sample standard deviation of 4.6. The population standard deviations are unknown but assumed to be equal. At the 0.01 significance level, is there a difference between the population means? a. State the decision rule. b. Compute the pooled estimate of the population variance. c. Compute the test statistic.

Two teaching methods and their effects on science test scores are being reviewed.  A random sample of 5 students, taught in traditional lab sessions, had a mean test score of 76.5 with a standard deviation of 3.3 .  A random sample of 11 students, taught using interactive simulation software, had a mean test score of 82.3 with a standard deviation of 4.6 .  Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software?  Let μ1 be the mean test score for the students taught in traditional lab sessions and μ2 be the mean test score for students taught using interactive simulation software.  Use a significance level of α=0.05 for the test.  Assume that the population variances are equal and that the two populations are normally distributed. Step 3 of 4 :  Determine the decision rule for rejecting the null hypothesis H0 . Round your answer to three decimal…

In testing the population mean,a left-tailed test has a test statistic of z = -2.72.Which is the correct critical value, if we use α=0.005: 2.576 -2.576 1.645 -1.645

All patients admitted to a particular hospital can be released on the same day or kept overnight for observation. In a sample of 2550 patients, 1020 were kept overnight for observation a) What is the point estimate p for the proportion of all patients kept overnight for observation? b) Construct a 99% confidence interval for the proportion of all patients kept overnight for observation.

Suppose we have sample data on (y,x) of size n. Consider regressing y on x and a constant using the least square method (OLS estimation). The estimated equation is y = 2.59 +5.19 x + e where e is the residual. The standard errors for the constant and the coefficient were 0.51 and 1.58 respectively. To test the null hypothesis of zero coefficient (for x) at a given significance level, we may use t-statistic. Compute the t-statistic for the coefficient. Make sure the answer is round up to the nearest hundredth. e.g. 3.015 --> 3.02

explain the p value

The sample means, x¯ , is an example of ...   Group of answer choices     an interval estimate   a population parameter   a point estimate   a population statistic

Which of the following is a reason for using independently pooled cross sections? a. To increase the sample size b. To select a sample based on the dependent variable c. To select a sample based on the independent variable d. To obtain data on different cross sectional units

A survey on family-friendly housing inventory in Bowling Green is underway to estimate with a 95% confidence interval mean number of 3 bedroom homes for sale. Halfway through their survey, the city reduces the funding available and, consequently, the sample size (total number of houses) must be reduced. In doing so, the margin of error in their analysis will: A. increase, B. stay the same, C. become negative, D. decrease

Claim: The mean systolic blood pressure of all healthy adults is less than than 123 mm Hg. Sample data: For 275 healthy adults, the mean systolic blood pressure level is 122.96 mm Hg and the standard deviation is 15.62 mm Hg. The null and alternative hypotheses are Ho: μ = 123 and H₁: μ< 123. Find the value of the test statistic. The value of the test statistic is (Round to two decimal places as needed.)