A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of177.9-cm and a standard deviation of 2.4-cm. For shipment, 9 steel rods are bundled together.Find the probability that the average length of a randomly selected bundle of steel rods is between 179.6-cm and 180.2-cm.P(179.6-cm < M< 180.2-cm) =Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

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Answered: A company produces steel rods. The…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The average birth weight of elephants is 250 pounds. Assume that the distribution of birth weights is Normal with a standard deviation of 40 pounds. Find the birth weight of elephants at the 90th percentile.
In a random sample of ten cell phones, the mean full retail price was $554.00 and the standard deviation was $167.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean u. Interpret the results. Identify the margin of error. (Round to one decimal place as needed.)
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
The strength of the welds in a new manufacturing process is measured by the amount of weight needed to break the weld. The strength of the welds is normally distributed with mean 583 pounds. 30% of the welds had strength less than 500 pounds. What is the standard deviation of the strength of the welds?
Todd just got back his exam grades in three classes. In biology the class mean was 75.80 with a standard deviation of 5.15, Todd got an 84.00. In political science the class mean was 84.00 with a standard deviation of 5.50, Todd got an 84.00. In economics the class mean was 87.50 with a standard deviation of 5.60, Todd got a 84.00. 4. Which class showed the highest variability in scores? 5. Which class showed the lowest variability in scores? 6. Which class had the highest average test score?
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 75.2 Mbps. The complete list of 50 data speeds has a mean of x= 15.49 Mbps and a standard deviation of s = 18.83Mbps.
In a study 10 people were given a test. The mean test score was 78.9 points. The standard deviationfor the test scores was 5.2 points. If an 11th person takes the test and scores 77 points, predict what willhappen to the mean and standard deviation. Circle the appropriate conclusion in the sentences below. The mean will increase // decrease // stay the same. The standard deviation will increase // decrease // stay the same.
Please write in complete thx. Two machines used to fill soft drink containers are being compared. The number of containers filled each minute is counted for 26 minutes for each machine. During the 26 minutes, machine 1 filled an average of 69.2 cans per minute with a sample standard deviation of 2.1 cans per minute, and machine 2 filled an average of 68.5 cans per minute with a sample standard deviation of 3.1 cans per minute. Assume both populations are normally distributed and the population standard deviations are unequal. Can you conclude that machine 1 is faster than machine 2 at the α = 0.05 level? State the relevant hypotheses, compute the test statistic and p- value, and state your conclusion in context. Describe what committing a Type I error would be in this situation. Describe what committing a Type II error would be in this situation.
= 19 inches. Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is u However, a survey reported that of a random sample of 51 fish caught, the mean length was x 18.6 inches, with estimated standard deviation s = 3.3 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use a = 0.05. = (a) What is the level of significance? State the null and alternate hypotheses. O Ho: μ = 19 in; H₁: μ ‡ 19 in Ho: μ> 19 in; H₁: μ = 19 in O Ho: μ 19 in O Ho: μ = 19 in; H₁: μ 0.010 O 0.0010 < P-value < 0.010 O 0.250 < P-value < 0.0010 0.125 < P-value < 0.250 O P-value < 0.125 Sketch the sampling distribution and show the area corresponding to the P-value.
The average repair cost of a microwave oven is $55, with a standard deviation of $8. The costs are normally distributed. What is the range for the middle 50% of repair costs for microwave ovens? Label.
Find the variance and standard deviation of 10,15,13,12,5. Show your solution.
500 freshmen at Crescent High School took an algebra test. The scores were distributed normally with a mean of 75 and a standard deviation of 7. What percentage of scores are between scores 68 and 82?

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