You wish to test the following claim (Ha) at a significance level of a =0.002.H.:На: р > 58.258.2You believe the population is normally distributed, but you do not know the standard deviation. Youobtain a sample of size n =16 with mean M64.6 and a standard deviation of SD:10.2.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =The p-value is...O less than (or equal to) agreater than aThis test statistic leads to a decision to...reject the nullaccept the nullO fail to reject the nullAs such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the population mean isgreater than 58.2.O There is not sufficient evidence to warrant rejection of the claim that the population mean isgreater than 58.2.O The sample data support the claim that the population mean is greater than 58.2.There is not sufficient sample evidence to support the claim that the population mean isgreater than 58.2.

Given: Sample size (n) = 16 Sample meanx¯=64.6 Sample standard deviation (s) = 10.2 Null and…

You wish to test the following claim (Ha) at a significance level of æ = 0.002. H.:µ = 58.2 Ha:µ > 58.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 16 with mean M = 64.6 and a standard deviation of SD = 10.2. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O eject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 58.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 58.2. O The sample data support the claim that the population mean is greater than 58.2. O There is not sufficient sample evidence to support the claim that the population mean is greater than 58.2.

You wish to test the following claim (Ha) at a significance level of æ = 0.002. H.:µ = 58.2 Ha:µ > 58.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 16 with mean M = 64.6 and a standard deviation of SD = 10.2. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O eject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 58.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 58.2. O The sample data support the claim that the population mean is greater than 58.2. O There is not sufficient sample evidence to support the claim that the population mean is greater than 58.2.

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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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

100%

You wish to test the following claim (Ha) at a significance level of a =
0.002.
H.:
На: р > 58.2
58.2
You believe the population is normally distributed, but you do not know the standard deviation. You
obtain a sample of size n =
16 with mean M
64.6 and a standard deviation of SD:
10.2.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
O less than (or equal to) a
greater than a
This test statistic leads to a decision to...
reject the null
accept the null
O fail to reject the null
As such, the final conclusion is that...
There is sufficient evidence to warrant rejection of the claim that the population mean is
greater than 58.2.
O There is not sufficient evidence to warrant rejection of the claim that the population mean is
greater than 58.2.
O The sample data support the claim that the population mean is greater than 58.2.
There is not sufficient sample evidence to support the claim that the population mean is
greater than 58.2.

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