At a certain beach in Hawaii, the heights of the waves have a normal distribution with a mean of 295cm and a standard deviation of 40 cm. Randomly sample 64 waves.How likely is it for the sample mean height to be more than 294.55 cm? Round your answer to 4decimal places.275+z = -4280 285 290 295z = -2P(Z > 294.55)=z = 0300 305z = 2310315Z

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Answered: At a certain beach in Hawaii, the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Assume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard deviation g= 15. Find the probability that a randomly selected adult has an IQ less than 118. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 118 is (Type an integer or decimal rounded to four decimal places as needed.)
The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 80 inches,, and a standard deviation of 10 inches. What is the probability that the men annual snowfall during 25 randomly picked years will exceed 82.8 inches? Draw a picture. Show z calculation. Use Table A-2.
A final exam in Seaturtle Research Studies has a mean of 78 and a standard deviation of 3. If 36 students are randomly selected, find the probability that the mean of their test scores less than 79. P(x < 79) = P(z < (Enter your answer as a percent accurate to 1 decimal place, do not enter the "%" sign). Shade: ( Left of a value 9. Click and drag the arrows to adjust the values. -4 -3 -2 -1 2 3 4 -1.5
A study was commissioned to find the mean weight of the residents in certain town. The study found the mean weight to be 174 pounds with a margin of error of 7 pounds. Which of the following is a reasonable value for the true mean weight of the residents of the town?
The amount of caffeine in a sample of five-ounce servings of brewed coffee is shown in the histogram. Make a frequency distribution for the data. Then use the table to estimate the sample mean and the sample standard deviation of the data set. Click the icon to view the histogram. Graph/chart Midpoint x xt Ay 30+ 2 70.5 141 24 14 92.5 1295 25- 24 114.5 2748 20- 7 136.5 955.5 14 15- 3 158.5 475.5 10- 7 ΣΤ- 50 Exf = 5615 5- Find the mean of the data set. 48.5 70.5 92.5 114.5 136.5 158.5 x = 112.3 (Round to the nearest tenth as needed.) Complete the table. Round values to the nearest tenth as needed. Midpoint x (x-x)? (x-x)?f Print Done X-X 70.5 - 41.8 1747.2 3494.5 92.5 1295 85556.3 119787.5
Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find P25, which is the IQ score separating the bottom 25% from the top 75%. Round your answer to nearest tenth.
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?
Assume that women have heights that are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. The middle 90% of the heights are between what two values? Round to one decimal place. 60.4 inches and 66.8 inches 59.5 inches and 67.7 inches 63.1 inches and 64.1 inches 61.9 inches and 65.3 inches
In a certain population, the mean score on a test is 420. The standard deviation is 105. If the distribution or scores is normal, which of these scores should occur most often. a. 385 b314 c. 540 d. 526
In some reports, the mean and coefficient of variation are given. For instance, one report gives the average number of physician visits by males per year. The average reported is 2.6, and the reported coefficient of variation is 2.3%. Use this information to determine the standard deviation of the annual number of visits to physicians made by males. (Round your answer to three decimal places.)

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