. A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 7.1                 s = 2.3             n = 18              α = 0.01 H0: µ = 10 H1: µ < 10 The decision is to  the null hypothesis. (Enter R if you reject and enter F if you fail to reject)

A sample of 34 observations is selected from a normal population. The sample mean is 45, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.02 significance level.   H0: μ = 46 H1: μ ≠ 46   Is this a one- or two-tailed test?   multiple choice 1 One-tailed test Two-tailed test     What is the decision rule?   multiple choice 2 Reject H0 if −2.326 < z < 2.326 Reject H0 if z < −2.326 or z > 2.326     What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

We want to conduct a hypothesis test of the claim that the population mean time it takes drivers to react following the application of brakes by the driver in front of them is less than 2.2 seconds. So, we choose a random sample of reaction time measurements. The sample has a mean of 2.3 seconds and a standard deviation of 0.5 seconds. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 12, and it is from a population with a distribution about which we know very little. O z = O t = O It is unclear which test statistic to use. (b) The sample has size 11, and it is from a normally distributed population with a known standard deviation of 0.40. O z = O t = O It is unclear which test statistic to use.

Use technology to find the P-value for the hypothesis test described below. The claim is that for 12 AM body temperatures, the mean is µ< 98.6°F. The sample size is n = 7 and the test statistic is t= P-value = (Round to three decimal places as needed.) hs