Create a histogram, and calculate x¯, the t-statistic, and the p-value. 11018.0428203882 10121.5615754286 10658.5261526503 11688.5887900189 11465.9082679505 10325.3181776969 11729.7816811717 11868.2552722215 12027.2639421498 10699.2646823558 10388.492925342 11101.4623463475 10981.0561484309 11750.6379148695 10759.0966915971 11828.0887089411 10099.3097504002 13082.9460884416 11626.6512991468 10093.528640574 10528.9535622233 11204.0733342204 11076.8095781424 12658.5980937782 10367.674630767 12242.3667079475 10717.983036931 10810.7953358463 10219.2189418662 9851.29833136872 11716.2374360057 8186.59907454138 9825.34343362647 9663.8267931111 8247.09553536571 9146.51270115417 10425.0858559445 9614.72313847342 10673.5858328174 11619.6076717705 12171.4115703379 10863.2034898055 13367.7022100689 9959.58814673238 11183.459659956 A company that makes LED light bulbs claims that the bulbs have a lifetime of 11,000 hours. Quality control tests a random sample of 45 light bulbs to determine if the lifetime is less than 11,000 hours at a confidence level of 0.05. From the histogram, can normality be assumed? YES or No x= t= p= Since the p-value is (GREATER or LESS) than the significance level0.05, the null hypothesis (FAIL TO BE REJECTED or REJECTED)(SUFFICIENT OR INSUFFICIENT) __evidence exists that the mean lifetime is less than 11,000 hours.

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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Question

Create a histogram, and calculate x¯, the t-statistic, and the p-value.

11018.0428203882
10121.5615754286
10658.5261526503
11688.5887900189
11465.9082679505
10325.3181776969
11729.7816811717
11868.2552722215
12027.2639421498
10699.2646823558
10388.492925342
11101.4623463475
10981.0561484309
11750.6379148695
10759.0966915971
11828.0887089411
10099.3097504002
13082.9460884416
11626.6512991468
10093.528640574
10528.9535622233
11204.0733342204
11076.8095781424
12658.5980937782
10367.674630767
12242.3667079475
10717.983036931
10810.7953358463
10219.2189418662
9851.29833136872
11716.2374360057
8186.59907454138
9825.34343362647
9663.8267931111
8247.09553536571
9146.51270115417
10425.0858559445
9614.72313847342
10673.5858328174
11619.6076717705
12171.4115703379
10863.2034898055
13367.7022100689
9959.58814673238
11183.459659956

A company that makes LED light bulbs claims that the bulbs have a lifetime of 11,000 hours. Quality control tests a random sample of 45 light bulbs to determine if the lifetime is less than 11,000 hours at a confidence level of 0.05.

From the histogram, can normality be assumed? YES or No

Since the p-value is____ (GREATER or LESS) than the significance level0.05, the null hypothesis ____ (FAIL TO BE REJECTED or REJECTED)(SUFFICIENT OR INSUFFICIENT) ______evidence exists that the mean lifetime is less than 11,000 hours.

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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