A sample of 12 measurements has a mean of 24 and a standard deviation of 2.25. Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having a common value of 24 each.Find the mean of the sample of 14 measurements.Find the standard deviation of the sample of 14 measurements.S =

To find: 1. Mean 2. Standard deviation

Answered: A sample of 12 measurements has a mean…

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 variable has a mean of 100 and a standard deviation of 8. Four observations of this variable have a mean of 113 and a sample standard deviation of 6. Determine the observed value of the a. standardized version of x. b. studentized version of x
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To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 40 feet. Assume the population standard deviation is 4.9 feet. The mean braking distance for Make B is 44 feet. Assume the population standard deviation is 4.6 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Identify the claim and state H, and Ha. What is the claim? A. The mean braking distance is different for the two makes of automobiles. B. The mean braking distance is less for Make A automobiles than Make B…
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
With a mean of 10 and standard deviation of 5. Assume that the population data are normally distributed. Calculate the z-score for a raw score of 5. What proportion of the distribution is equal to or less than this score?
Assume that the Leaf Area Index over a management area is normally distributed with a mean of 3 and a standard deviation of 0.2. One sample area shows a LAI of 2.76. How many standard deviations is this measurement from the mean?
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The weights of a certain machine components are normally distributed with a mean of 8.85g and a standard deviation of 0.08g. Find the two weights that seperate the top 3% and the bottom 3%. These weights could serve as limits used to identify which components should be rejected. Round to the nearest hundredth of a gram. Draw a picture. Use Table A-2.
Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. Assume 2.1% of the thermometers are rejected because they have readings that are too high and another 2.1% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others.
Two companies, A and B, drill wells in a rural area. Company A charges a flat fee of 3095 dollars to drill a well regardless of its depth. Company B charges 1180 dollars plus 9 dollars per foot to drill a well. The depths of wells drilled in this area have a normal distribution with a mean of 240 feet and a standard deviation of 35 feet. Find the mean amount charged by Company B to drill a well. Enter the exact answer. μ = i dollars
Assume that we have made 10 repeated measurements of a quantity, and as a result the error assigned to the “best estimate” of the mean is 6. If we then expand our data set to a total of 20 measurements, the error in the mean will reduce to just 3. True or False

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