In the year 2032, Daniella Portelada is a leading traveling nurse. Daniella is interested in reducing the mean recovery time for patients after experiencing a serious injury. Suppose the mean recovery time is presently 8.4 months. Daniella takes a random sample of 45 patients that have experienced serious injury to participate in a new treatment program and finds the sample mean is 7.9 months and a sample standard deviation of 1.2 months. Using α = 0.05, answer the following questions.a) What is the setup for your null and alternative hypothesis?b) What is the value of the test statistic?c) Using the appropriate level of confidence, what is the confidence interval?d) What is the interpretation (not your conclusions) in the context of the problem of the confidence interval you obtained in part c?e) What is the p value?f) What is the interpretation (not your conclusions) of the p value in the context of the problem you found in part e?g) What are your conclusions in the context of the problem? Relate your conclusions to the test statistic and critical value, confidence interval and p value.Bonus question (1 point)What is the title of the classic science fiction novel by Frank Herbert that includes the line “Fear is the mind killer. It is the little death.”A. One Flew over the Cuckoo’s NestB. The Grapes of WrathC. Tom Sawyer and Huckleberry FinnD. DuneE. The FirmPlease make answers clear and legible If you use a calculator, you must show what youplaced in your calculator in order to receivecredit.In the year 2032, Daniella Portelada is a leadingtraveling nurse. Daniella is interested in reducingthe mean recovery time for patients afterexperiencing a serious injury. Suppose the meanrecovery time is presently 8.4 months. Daniellatakes a random sample of 45 patients that haveexperienced serious injury to participate in a newtreatment program and finds the sample mean is 7.9months and a sample standard deviation of 1.2months. Using a = 0.05, answer the followingquestions.a) What is the setup for your null and alternativehypothesis?b) What is the value of the test statistic?c) Using the appropriate level of confidence,what is the confidence interval?d) What is the interpretation (not yourconclusions) in the context of the problem of theconfidence interval you obtained in part c?e) What is the p value?f) What is the interpretation (not yourconclusions) of the p value in the contextproblem you found in part e?theg) What are your conclusions in the context ofthe problem? Relate your conclusions to the teststatistic and critical value, confidence intervaland p value.Bonus question (1 point)What is the title of the classic science fictionnovel by Frank Herbert that includes the line"Fear is the mind killer. It is the little death."a) One Flew over the Cuckoo's Nestb) The Grapes of Wrathc) Tom Sawyer and Huckleberry Finnd) Dunee) The Firm

Given Information: The hypothesized value of population mean μ0=8.4 Sample size n=45 Sample mean x¯=7.9 Sample standard deviation s=1.2(a) The relevant hypotheses are: Null Hypothesis H0:μ≥8.4 i.e., mean recovery time for patients in the new treatment program after experiencing a serious injury is greater than or equal to 8.4 months (not reduced). Alternative Hypothesis H1:μ<8.4 i.e., mean recovery time for patients in the new treatment program after experiencing a serious injury is less than 8.4 months. (reduced). (b) The test statistic is given by the formula: t=x¯-μ0sn=7.9-8.41.245=-0.50.1788854382≈-2.795 Thus, the value of the test statistic is -2.795 (c) Given significance level α = 0.05 The confidence level is: c=1-α=1-0.05=0.95 The 95% confidence interval for the true mean recovery time for patients in the new treatment program after experiencing a serious injury is obtained using the formula: C.I=x¯±t*snwhere t* is the critical value at df=n-1=44 and α=0.05 (two-tails) Use Excel function "=T.INV.2T(0.05,44)", the t* critical value obtained is 2.015 Substitute the values in the formula: C.I=x¯±t*sn=7.9±2.0151.245=7.9±0.360454158≈(7.54, 8.26) NOTE: Hi there! Thank you for the question, as per the honor code, we are allowed to answer three sub-parts at a time, so we are answering the first three as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining sub-parts.

Answered: In the year 2032, Daniella Portelada is…

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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In the year 2032, Daniella Portelada is a leading traveling nurse. Daniella is interested in reducing the mean recovery time for patients after experiencing a serious injury. Suppose the mean recovery time is presently 8.4 months. Daniella takes a random sample of 45 patients that have experienced serious injury to participate in a new treatment program and finds the sample mean is 7.9 months and a sample standard deviation of 1.2 months. Using α = 0.05, answer the following questions. a) What is the setup for your null and alternative hypothesis? b) What is the value of the test statistic? c) Using the appropriate level of confidence, what is the confidence interval? d) What is the interpretation (not your conclusions) in the context of the problem of the confidence interval you obtained in part c? e) What is the p value? f) What is the interpretation (not your conclusions) of the p value in the context of the problem you found in part e? g) What are your conclusions in the context of the problem? Relate your conclusions to the test statistic and critical value, confidence interval and p value. Bonus question (1 point) What is the title of the classic science fiction novel by Frank Herbert that includes the line “Fear is the mind killer. It is the little death.” A. One Flew over the Cuckoo’s Nest B. The Grapes of Wrath C. Tom Sawyer and Huckleberry Finn D. Dune E. The Firm Please make answers clear and legible

If you use a calculator, you must show what you
placed in your calculator in order to receive
credit.
In the year 2032, Daniella Portelada is a leading
traveling nurse. Daniella is interested in reducing
the mean recovery time for patients after
experiencing a serious injury. Suppose the mean
recovery time is presently 8.4 months. Daniella
takes a random sample of 45 patients that have
experienced serious injury to participate in a new
treatment program and finds the sample mean is 7.9
months and a sample standard deviation of 1.2
months. Using a = 0.05, answer the following
questions.
a) What is the setup for your null and alternative
hypothesis?
b) What is the value of the test statistic?
c) Using the appropriate level of confidence,
what is the confidence interval?
d) What is the interpretation (not your
conclusions) in the context of the problem of the
confidence interval you obtained in part c?
e) What is the p value?
f) What is the interpretation (not your
conclusions) of the p value in the context
problem you found in part e?
the
g) What are your conclusions in the context of
the problem? Relate your conclusions to the test
statistic and critical value, confidence interval
and p value.
Bonus question (1 point)
What is the title of the classic science fiction
novel by Frank Herbert that includes the line
"Fear is the mind killer. It is the little death."
a) One Flew over the Cuckoo's Nest
b) The Grapes of Wrath
c) Tom Sawyer and Huckleberry Finn
d) Dune
e) The Firm

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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