Automotive engineers have found that the gas mileage in highwaydriving of a certain sports utility van is normally distributed witha mean of 13.6 kilometers per liter and a standard deviation of1.5 kilometers per liter.Find the probability that a random sample of 20 sports utilityvans has a mean exceeding 14 kilometers per liter.O P(Z > 1.19) = 0.1170O P(Z > 1.19) = 0.8830%3DO P (Z > -1.19) = 0.8830O P (Z < -1.19) = 0.1170

Given that information Mean (mu) = 13.6 kilometres Standard deviation (s) = 1.5 kilometres Sample…

Answered: Lutomotive engineers have found that…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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 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 significance
A 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.
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 hypothesis
A 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.)
In the manufacture of steel rollers to fit an assembly, the external diameter is considered to be a random variable with mean equal to 23 mm and variance equal to 0.0036 cm2. 1.5 is supported standard deviations more than the mean and 3.5 standard deviations below average. A piece with a diameter below such specifications is considered waste, whereas a piece with a diameter larger than specified must be reprocessed. Which is the percentage of pieces that:to. They are being wasted.b. They need to be reprocessed.c. Acceptable.d. If you want to establish that the reprocessing is 5% of the rollers and waste of 1%, than specification limit would recommend.

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