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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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The probability is 0.6 that a calibration of a transducer
in an electronic instrument conforms to specifications for the
measurement system. Assume that the calibration attempts are
independent. What is the probability that at most three
calibration attempts are required to meet the specifications for
the measurement system?

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A company has developed an electric car they say can travel over 500 mues on a single charge. A consumer car magazine wants to test this claim. The magazine randomly selects 16 owners of the car and ask them to measure how far the car can travel on a full charge. The mean distance traveled by these 16 cars was 510 miles with a standard deviation of 20 miles. Test the hypothesis that the mean distance the car can travel on a single charge is greater than 500 miles. Use a 0.05 level of significance. (Assume that the distances the car can travel on one charge are normally distributed.) (a) State the null and alternative hypothesis. (b) Will this be a right-tailed, left-tailed, or two-tailed test? (c) Calculate the test statistic assuming the null hypothesis is true. T = %3D (d) Use the test statistic to calculate the P-value for the test. P- value = (e) Does the data provide enough evidence to conclude that, at the 5% significance level, the mean distance this car can travel with a full…
The miles-per-gallon obtained by the 2019 model Q cars is normally distributed with a mean (mew) of 32 miles-per-gallon and a standard deviation (sigma) of 5 miles-per-gallon. What is the probability that a customer will get between 30 to 35 miles-per-gallons in their new model Q car? Complete your work in the worksheet by listing the formula inputs, labels for the formula inputs and make your calculations with formulas. This test problem is similar to what you studied in video # 32, 33 and 34 and homework problems # 17, 21 and 23.
A soft drink bottler purchases glass bottles from a vendor. The bottles are required to have an internal pressure of at least 150150 pounds per square inch (psi). A prospective bottle vendor claims that its production process yields bottles with a mean internal pressure of 157157 psi and a standard deviation of 33 psi. The bottler strikes an agreement with the vendor that permits the bottler to sample from the production process to verify the claim. the bottler randomly selects 4040 bottles from the last 1000010000 produced, measures the internal pressure of each, and finds the mean pressure for the sample to be 0.50.5 psi below the process mean cited by the vendor. (a) Assuming that the vendor is correct in his claim, what is the probability of obtaining a sample mean this far or farther below the process mean? (b) If the standard deviation were 33 psi as claimed, but the mean was 154154 psi, what is the probability of obtaining a sample mean of 156.5156.5 psi or below? (c) If the…
Provide the null and alternative hypotheses used to address these problems. Make sure that your notation is understandable.
A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 13 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. To determine whether the site meets the organization's requirements, consider the test, Ho: μ =13 Ha: μ >13 where μ is the true mean wind speed at the site and a=.05 Suppose the observed significance level ( p-value) of the test is calculated to be p=0.4413 Interpret this result. Since the p-value greatly exceeds α = .05, there is strong evidence to reject the null hypothesis. Since the p-value exceeds α = .05, there is insufficient evidence to reject the null hypothesis. We are 55.87% confident that μ = 13. The probability of rejecting the null hypothesis is 0.4413.
A Christmas tree light has an expected life of 200 hr and a standard deviation of 3 hr. Suppose 190,000 of these Christmas tree lights are used by a large city as part of its Christmas decorations. Estimate the number of lights that will require replacement between 185 and 215 hr of use.
A certain manufacturer makes 400 W light bulbs. Assume that these light bulbs have lifetimes that are normally distributed with a mean lifetime of 392 hours and a standard deviation of 64 hours. Use this table or the ALEKS calculator to find the percentage of light bulbs with lifetimes shorter than 440 hours. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).
Number 1
"Color fastness to wash" of a colored textile fabric is defined to be the fabric's resistance to changes in color when subjected to repeated washing of the fabric. The test for ensuring the fastness of colored fabrics is performed in a dying lab. A newly manufactured lot of a red multifiber fabric baseline color measurement of each swatch. The 10 swatches undergo 10 identical washes, after which the color of each swatch is again measured by the same spectrophotometer. This procedure was repeated after 25 washes and again after 50 washes of the 10 swatches. sent to a dying lab for a wash fastness test. Ten swatches of the fabric are cut, each measuring 40 by 100 millimeters. A spectrophotometer is used to obtain a precise Which of the following is a true statement regarding this study? O This study uses independent groups to compare the color of the fabric at three points in time. O This is an observational study. O This is a repeated measures design that examines the change in color…

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