Find the probability that the sample mean will be less than 36,000 miles. Assume that the distribution of lifetimes of such tires is normal. A) let x= number of miles on a single tire. Write the question above in terms of this variable X LAB-4 Chapter 7Print the lab and write or type the answers in the space providedStudent Full Name: Hrzanna PreceSample size=6Sample mean= 38,500Standard deviationこ2,SoOIn this lab we cover Normal Probability cases based on a sample and not on the entire population. These casesall require and adjustment to the standard deviation.Note: Students should use the tool link: https://mathcracker.com/normal-probability-calculator-sampling-distributions(Include the work from the software as part of your answer before submitting the lab)1. A prototype automotive tire has a design life of 38,500 miles with a standard deviation of 2,500 miles. Themanufacturer tests 60 such tires. On the assumption that the actual population mean is 38,500 miles and theactual population standard deviation is 2,500 miles, find the probability that the sample mean will be lessthan 36,000 miles. Assume that the distribution of lifetimes of such tires is normal.(a) Let X = number of miles on a single tire. Write the question above in terms of this variable X.=39500,0Ea500,n6QX<36,000 ?(b) Using the software tool above, find the probability stated on part (a) r= 38,500 ,G=005, N= 60X-H=3G000 - 38500 -119,17632500NGこ。36,800 - 36,500 - Pr(zS 119.1763)=0Prlås36,000) - Pr(zsఇకం(e) Using the software tool above, graph the probability of stated on part (b) Pr (xe 36,0000G.olgG.0160.008.0.00040.0000+500lopoo 15,0° 29000 25GOO 30,000 35,000 400

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Description: Find the probability that the sample mean will be less than 36,000 miles. Assume that the distribution of lifetimes of such tires is normal. A) let x= number of miles on a single tire. Write the question above in terms of this variable X LAB-4 Chapte

Given A prototype automotive tire has a design life which follows a normal distribution with Mean = 38,500 SD = 2,500 sample size = 60 Also given that the sample mean is always less than 36000 let x= number of miles on a single tire. Write the question above in terms of this variable X If X represents the number of miles on a single tire From the given information sample mean is always less than 36000 we can represent as X¯≤36000 For the given values of the population apply CLT of the sample mean to find the probability

Answered: A prototype automotive tire has a…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 3CYU

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Find the probability that the sample mean will be less than 36,000 miles. Assume that the distribution of lifetimes of such tires is normal. A) let x= number of miles on a single tire. Write the question above in terms of this variable X

LAB-4 Chapter 7
Print the lab and write or type the answers in the space provided
Student Full Name: Hrzanna Prece
Sample size=6
Sample mean= 38,500
Standard deviation
こ2,SoO
In this lab we cover Normal Probability cases based on a sample and not on the entire population. These cases
all require and adjustment to the standard deviation.
Note: Students should use the tool link: https://mathcracker.com/normal-probability-calculator-sampling-distributions
(Include the work from the software as part of your answer before submitting the lab)
1. A prototype automotive tire has a design life of 38,500 miles with a standard deviation of 2,500 miles. The
manufacturer tests 60 such tires. On the assumption that the actual population mean is 38,500 miles and the
actual population standard deviation is 2,500 miles, find the probability that the sample mean will be less
than 36,000 miles. Assume that the distribution of lifetimes of such tires is normal.
(a) Let X = number of miles on a single tire. Write the question above in terms of this variable X.
=39500,0Ea500,n6Q
X<36,000 ?
(b) Using the software tool above, find the probability stated on part (a) r
= 38,500 ,G=005, N= 60
X-H=3G000 - 38500 -119,1763
2500NG
こ。
36,800 - 36,500 - Pr(zS 119.1763)=0
Prlås36,000) - Pr(zs
ఇకం
(e) Using the software tool above, graph the probability of stated on part (b) Pr (xe 36,0000
G.olg
G.016
0.008.
0.0004
0.0000+
500
lopoo 15,0° 29000 25GOO 30,000 35,000 400

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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