certain pen has been designed so that true mean writing lifetime under controlled conditions (involving the use of a writing machine) is at least 10 hours. A random sample of 17 pens is selected, the writing lifetime of each is determined, and a normal probability plot of the resulting data support the use of a one-sample t test. The relevant hypotheses are  H0: μ = 10  versus  Ha: μ < 10.   (a) If  t = −2.1  and  ? = 0.05  is selected, what conclusion is appropriate? RejectFail to reject      (b) If  t = −1.73  and

A coin-operated drink machine was designed to discharge a mean of 9 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 15 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 9.13 fluid ounces and 0.22 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, μ, differs from 9 fluid ounces? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H Ho : 0 H₁:0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal…

A sample of n = 36 scores is selected from a normal population with µ = 75 and σ = 7. The probability of obtaining a sample mean greater than M = 73 is p = 0.9056. True or False?

A certain pen has been designed so that true mean writing lifetime under controlled conditions (involving the use of a writing machine) is at least 10 hours. A random sample of 17 pens is selected, the writing lifetime of each is determined, and a normal probability plot of the resulting data support the use of a one-sample t test. The relevant hypotheses are H0: μ = 10 versus Ha: μ < 10. (a) If t = −2.1 and ? = 0.05 is selected, what conclusion is appropriate? -Reject -Fail to reject      (b) If t = −1.73  and ? = 0.01  is selected, what conclusion is appropriate? -Reject -Fail to reject     (c) If t = 0.27,  what conclusion is appropriate? -Reject -Fail to reject     Give as much information as you can about the P-value of a t test in each of the following situations. (Round your answers to three decimal places.) a. upper-tailed test, n = 13, t = 3.5 b. lower-tailed test, n = 22, t = −4.1 c. upper-tailed test, df = 7,t = 2.0 = 0.043 A report states that the mean yearly salary…