The breaking strength of a rivet has a mean value of 10,000 psi and a standard deviation of 498 psi.n USE SALT(a) What is the probability that the sample mean breaking strength for a random sample of 40 rivets is between 9,900 and 10,200? (Round your answer to fourdecimal places.)(b) If the sample size had been 15 rather than 40, could the probability requested in part (a) be calculated from the given information? Explain your reasoning.O Yes, the probability in part (a) can still be calculated from the given information.O No, n should be greater than 30 in order to apply the Central Limit Theorem.O No, n should be greater than 20 in order to apply the Central Limit Theorem.O No, n should be greater than 50 in order to apply the Central Limit Theorem.

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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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3. The thickness of a road is nommally distribuned with standard deviation 5.8 cm. A random sample of 15 roads were taken If the probability that the sample mean road thickness is at least 10.2 cm is K2, whut is the average thickness of all the roads
Previously, De Anza's statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students. Find the probability that an individual had between $0.80 and $1.00. Graph the situation, and shade in the area to be determined.
': Consider a puzzle is created where the amount of time it takes an individual to solve the puzzle follows a normal distribution with a standard deviation of 2 minutes. a) If a sample of 13 individuals was collected, what is the probability the sample mean time required to solve the puzzle would be within 1.2 minutes of the population mean? b) What would the required sample size be if we wanted the sample mean to be within half a minute of the population mean with a probability of .9?
2 Suppose that we assume the population standard deviation is a-Sand we are testing: Ho:p-50 Ha:p>50 Suppose also that we want the following Powers (probability of detection): Power ( =50.25)-.85. Power (,=50.40)-.98. a) How much data is needed to satisfy the first requirement? Answer b) How much data is needed to satisfy the second requirement? )How much data is needed to satisfy both requirements? Aliswer f the blanks and submit
Question 1 produced Experience has shown that the weight of avocados by an orchard in Hoedspruit is normally distributed, with an average weight (u) of 1609, and a standard deviation (a) of 45g. A sample of 120 of these avocados is randomly selected. Determine the standard error for this sample. a) 0.45 4.29 C) 4.1079 d) 0.4091 e) 4.50
The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.3 grams with a standard deviation of 0.2 grams. For parts (a) through (c), enter your responses as a decimal with 4 decimal places. a) What is the probability that a randomly chosen mouse has a mass of less than 20.04 grams? b) What is the probability that a randomly chosen mouse has a mass of more than 20.54 grams? c) What proportion of mice have a mass between 20.16 and 20.42 grams? d) 10% of all mice have a mass of less than grams.
Suppose that the mean and standard deviation of plants height are 130 and 32, respectively, if a random sample of size 49 is slected from these plants, then the probability that their average height is more than 125 is closest to: O a. 0.20 O b.0.86 Oc. 0.26 O d. 0.14 O e. 0.74 Next page
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THE ANSWER IS NOT 2.02!!!!
a) Turkey is the most tea-loving country in the world. In 2014, the annual per capita consumption of tea in Turkey, denoted X, was normally distributed with a mean of 6:96 lb and a standard deviation of 2:36 lb. b)You pick a random sample of 5 people from Turkey (assume all of them are tea drinkers) and compute their mean per capita tea consumption to be only 3:98 lb. (i) What is the probability that her random sample has an average of 3:98 lb or lower, when the population average is as given above? (ii)Recall that a large sample size makes it unlikely thatthe sample mean is too far away from the population mean. How big a samsle should you have to draw so that the standard deviation of your sample average is less than 10% of its mean (i.e., less than 0.696 lb)?
You have a really annoying stapler that seems to randomly jam. On any given attempt to staple, it seems to independently jam 17.3% of the time. a) Out of 400 papers stapled, what is the probability that your stapler will jam less than 58 times? Round your answer to 4 decimals. b) Find the mean and standard deviation for the number of jammed staples out of 400 attempts. Mean: Standard Deviation (rounded to 2 decimals): c) Does the normal approximation apply? Is the success / failure condition met (using a cutoff of 5)? O No O Yes d) Use the normal distribution (with continuity correction) to find the probability that your stapler will jam less than 58 times out of 400 attempts. Use the rounded standard deviation in your calculation. z-score (to 2 decimals) = probability (to 4 decimals, using the rounded z-score)
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 40 liters, and standard deviation of 11.6 liters. A) What is the probability that daily production is between 11.3 and 13.4 liters? Round to four decimals

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