i NEED STEP BY STEP SOLUTION OF ALL PARTS OF QUESTION 29. Sample Mean= $20.24Sample Standard Deviation= 7.80 9.4 Population Mean: r Unknown443(F25. Consider the following hypothesis test:HiH< 45A sample of 36 is used. Identify the p-value and state your conclusion for each of the01.following sample results, Use a =5.244 and sb. = 43 and s4.6C. N46 and s = 5.026. Consider the following hypothesis test:100Hiµ # 100aA sample of 65 is used. Identify the p-value and state your conclusion for each of thefollowing sample results. Use a.05.a. x103 and s =11.5%3Db. = 96.5 and s = 11.0c. X = 102 and s10.5Applications27. Price of Good Red Wine. According to the Vivino website, the mean price for abottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. ANew England-based lifestyle magazine wants to determine if red wines of the samequality are less expensive in Providence, and it has collected prices for 56 randomlyselected red wines of similar quality from wine stores throughout Providence. Themean and standard deviation for this sample are $30.15 and $12, respectively.a. Develop appropriate hypotheses for a test to determine whether the sample datasupport the conclusion that the mean price in Providence for a bottle of red winethat scores 4.0 or higher on the Vivino Rating System is less than the populationmean of $32.48.b. Using the sample from the 56 bottles, what is the p-value?c. At a = .05, what is your conclusion?d. Repeat the preceding hypothesis test using the critical value approach.28. CEO Tenure. A shareholders' group, in lodging a protest, claimed that the mean ten-ure for a chief executive office (CEO) was at least nine years. A survey of companiesreported in The Wall Street Journal found a sample mean tenure of x = 7.27 years forCEOS with a standard deviation of sa. Formulate hypotheses that can be used to challenge the validity of the claim madeby the shareholders' group.b. Assume 85 companies were included in the sample. What is the p-value for yourhypothesis test?c. At a = .01, what is your conclusion?29. Cost of Residential Water. On its municipal website, the city of Tulsa states that therate it charges per 5 CCF of residential water is $21.62. How do the residential waterrates of other U.S. public utilities compare to Tulsa's rate? The file ResidentialWatercontains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities.a. Formulate hypotheses that can be used to determine whether the population meanrate per 5 CCF of residential water charged by U.S. public utilities differs from the$21.62 rate charged by Tulsa.b. What is the p-value for your hypothesis test in part (a)?c. At a = .05, can your null hypothesis be rejected? What isd. Repeat the preceding hypothesis test using the critical value approach.30. Time in Child Care. The time married men with children spend on child careaverages 6.4 hours per week. You belong to a professional group on family practices6.38 уears.DATA fileResidentialWateryourconclusion?DATA fileChildCare

Solution: 29. a. State the hypotheses. H0: µ=21.62 That is, the population mean rate per 5 CCF of…

Answered: Cost of Residential Water. On its…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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i NEED STEP BY STEP SOLUTION OF ALL PARTS OF QUESTION 29.

Sample Mean= $20.24

Sample Standard Deviation= 7.80

9.4 Population Mean: r Unknown
443
(F
25. Consider the following hypothesis test:
HiH< 45
A sample of 36 is used. Identify the p-value and state your conclusion for each of the
01.
following sample results, Use a =
5.2
44 and s
b. = 43 and s
4.6
C. N
46 and s = 5.0
26. Consider the following hypothesis test:
100
Hiµ # 100
a
A sample of 65 is used. Identify the p-value and state your conclusion for each of the
following sample results. Use a
.05.
a. x
103 and s =
11.5
%3D
b. = 96.5 and s = 11.0
c. X = 102 and s
10.5
Applications
27. Price of Good Red Wine. According to the Vivino website, the mean price for a
bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A
New England-based lifestyle magazine wants to determine if red wines of the same
quality are less expensive in Providence, and it has collected prices for 56 randomly
selected red wines of similar quality from wine stores throughout Providence. The
mean and standard deviation for this sample are $30.15 and $12, respectively.
a. Develop appropriate hypotheses for a test to determine whether the sample data
support the conclusion that the mean price in Providence for a bottle of red wine
that scores 4.0 or higher on the Vivino Rating System is less than the population
mean of $32.48.
b. Using the sample from the 56 bottles, what is the p-value?
c. At a = .05, what is your conclusion?
d. Repeat the preceding hypothesis test using the critical value approach.
28. CEO Tenure. A shareholders' group, in lodging a protest, claimed that the mean ten-
ure for a chief executive office (CEO) was at least nine years. A survey of companies
reported in The Wall Street Journal found a sample mean tenure of x = 7.27 years for
CEOS with a standard deviation of s
a. Formulate hypotheses that can be used to challenge the validity of the claim made
by the shareholders' group.
b. Assume 85 companies were included in the sample. What is the p-value for your
hypothesis test?
c. At a = .01, what is your conclusion?
29. Cost of Residential Water. On its municipal website, the city of Tulsa states that the
rate it charges per 5 CCF of residential water is $21.62. How do the residential water
rates of other U.S. public utilities compare to Tulsa's rate? The file ResidentialWater
contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities.
a. Formulate hypotheses that can be used to determine whether the population mean
rate per 5 CCF of residential water charged by U.S. public utilities differs from the
$21.62 rate charged by Tulsa.
b. What is the p-value for your hypothesis test in part (a)?
c. At a = .05, can your null hypothesis be rejected? What is
d. Repeat the preceding hypothesis test using the critical value approach.
30. Time in Child Care. The time married men with children spend on child care
averages 6.4 hours per week. You belong to a professional group on family practices
6.38 уears.
DATA file
ResidentialWater
your
conclusion?
DATA file
ChildCare

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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