Lutomotive engineers have found that the gas mileage in highway riving of a certain sports utility van is normally distributed with mean of 13.6 kilometers per liter and a standard deviation of .5 kilometers per liter. Find the probability that a random sample of 20 sports utility rans has a mean exceeding 14 kilometers per liter. O P(Z > 1.19) = 0.1170 %3D O P (Z > 1.19) 0.8830 %3D O P(Z > –1.19) = 0.8830 O P(Z < -1.19) = 0.1170 %3D
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- A company claims that the mean monthly residential electricity consumption in a certain region is more than 890 kiloWatt-hours (kWh). You want to test this cdaim. You find that a random sample of 68 residential customers has a mean monthly consumption of 930 kWh. Assume the population standard deviation is 123 kWh. At a =0.10, can you support the claim? Complete parts (a) through (e). (a) Identify Ho and H. Choose the correct answer below. O A. Ho: us930 B. Ho: uS890 Ha:u> 930 (claim) H:u> 890 (claim) O C. Ho: u> 930 (claim) OD. Ho: =930 Hi u# 930 (claim) H:us930 O E. Ho: = 890 (claim) OF. Ho: >890 (claim) H:us 890 H:u#890 (b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in the answer box within your choice. Use technology. (Round to two decimal places as needed.) A. The critical value is 1.28 O B. The critical values are t Identify the rejection region(s). Select the correct choice below. O A. The rejection regions are…A steel pipe company recently developed a new pipe product for a customer. According to specifications, the pipe is supposed to have an average outside diameter of 2.00 inches with a standard deviation equal to 0.10 inches, and the distribution of outside diameters is to be normally distributed. Before going into full-scale production, the company selected a random sample of 30 sections of pipe from the initial test run, as shown in the accompanying table. Complete parts a and b below. (Data are shown in images)A state school administrator says that the standard deviation OT SAI critical reading test scores is 114. A random sample of 19 SAT critical reading test scores has a standard deviation of 143. At α = 0.10, is there enough evidence to reject the school administrator's claim? Assume the population is normally distributed.
- A coin-operated drink machine was designed to discharge a mean of 6 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 19 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 5.92 fluid ounces and 0.24 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 6 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 Ho and the alternative hypothesis H₁. H₂:0 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.) (d) Find the p-value. (Round to three or more decimal…a random sample of size 11 from a normal distribution has standard deviation s=98. test Ho: standard deviation=70 versus H1: standard deviation >70. use the a at 0.05 level of significanceA light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 754 hours. A random sample of 30 light bulbs has a mean life of 732 hours. Assume the population is normally distributed and the population standard deviation is 62 hours. At a = 0.05, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). Zo = - 1.65 (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. O A. B. O C. Fail to reject H- Fail to reject Ho Fail to reject Ho- Reject Ho Reject Ho Reject Ho Reject H,- -4
- There is some evidence that REM sleep, associated with dreaming, may also play a role in learning and memory processing. For example, Smith and Lapp (1991) found increased REM activity for college students during exam periods. Suppose that REM activity for a sample of n = 16 students during the final exam period produced an average score of M = 143. Regular REM activity for the college population averages μ = 110 with a standard deviation of σ = 50. The population distribution is approximately normal. Do the data from this sample provide evidence for a significant increase in REM activity during exams? Use a one-tailed test with α= .01. Compute Cohen’s d to estimate the size of the effect. Write a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear in a research report.Suppose the diameter of holes for a cable harness is known to have a mean of 1.4 inches. A random sample of size 12 yields an average diameter of 1.6525 inches and standard deviation of 0.16 inch. Given that the data set is normally distributed, does this mean that this group of cable harnesses is significantly smaller? Test at α = 0.05.Steel rods are manufactured with a mean length of 26centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.05 cm. Complete parts (a) to (d). (a) What proportion of rods has a length less than 25.9cm?
- The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 264.8264.8 and a standard deviation of 60.960.9. (All units are 1000 cells/muμL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 11 standard deviationdeviation of the mean, or between 203.9203.9 and 325.7325.7? b. What is the approximate percentage of women with platelet counts between 82.182.1 and 447.5447.5?An obstetrician read that a newborn baby loses on average 7 ounces in the first two days of his or her life. He feels that in the hospital where he works, the average weight loss of a newborn baby is less than 7 ounces. A random sample of 30 newborn babies has a mean weight loss of 6.4 ounces. The population standard deviation is 1.6 ounces. Is there enough evidence at =α0.01 to support his claim? Assume that the variable is normally distributed. Use the critical value method with tables. hello the question askas to find the critical value compute the test value and select the hypothesisA random sample of 10 subjects have weights with a standard deviation of 12.7436 kg. What is the variance of their weights? Be sure to include the appropriate units with the result. The variance of the sample data is (Round to four decimal places as needed.)