An ambulance service is considering replacing its ambulances with new equipment. If $52.00 is the average weekly maintenance cost of one of the old ambulances and u is the average weekly maintenance cost it can expect for one of the new ones, what alternative hypothesis should it use if it wants to buy the ambulances only if it can be shown that this will significantly reduce the average weekly maintenance cost? Ho: H = $52.00/week O H:4 > $52.00/week o H: µ < $52.00/week o H: u # $52.00/week b) What alternative hypothesis should the ambulance service use (see part a) if it is anxious to buy the new ambulances (which have some other nice features) unless it can be shown that they will significantly increase the average weekly maintenance cost? Ho:H = $52.00/week %3D O H:u> $52.00/week o H:H < $52.00/week o H:u # $52.00/week A major Canadian brewery has held an 18% share of the market. However, because of an increased marketing effort, company officials believe the brewery's market share is now greater than 18%. What alternative hypothesis should the company officials use if c) they want to prove that their market share has significantly increased? Ho: p = 0.18 %3D O H:p> 0.18 O H:p< 0.18 O H:p# 0.18 d) What alternative hypothesis should a quality improvement team use if it wants to make sure that wire leads are meeting a specification of 10 cm in length? Ho:4 = 10 cm
An ambulance service is considering replacing its ambulances with new equipment. If $52.00 is the average weekly maintenance cost of one of the old ambulances and u is the average weekly maintenance cost it can expect for one of the new ones, what alternative hypothesis should it use if it wants to buy the ambulances only if it can be shown that this will significantly reduce the average weekly maintenance cost? Ho: H = $52.00/week O H:4 > $52.00/week o H: µ < $52.00/week o H: u # $52.00/week b) What alternative hypothesis should the ambulance service use (see part a) if it is anxious to buy the new ambulances (which have some other nice features) unless it can be shown that they will significantly increase the average weekly maintenance cost? Ho:H = $52.00/week %3D O H:u> $52.00/week o H:H < $52.00/week o H:u # $52.00/week A major Canadian brewery has held an 18% share of the market. However, because of an increased marketing effort, company officials believe the brewery's market share is now greater than 18%. What alternative hypothesis should the company officials use if c) they want to prove that their market share has significantly increased? Ho: p = 0.18 %3D O H:p> 0.18 O H:p< 0.18 O H:p# 0.18 d) What alternative hypothesis should a quality improvement team use if it wants to make sure that wire leads are meeting a specification of 10 cm in length? Ho:4 = 10 cm
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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Transcribed Image Text:Choose the correct alternative hypothesis for the following situations. Check the circle. The
null hypothesis is given.
a)
An ambulance service is considering replacing its ambulances with new equipment. If
$52.00 is the average weekly maintenance cost of one of the old ambulances and u is
the average weekly maintenance cost it can expect for one of the new ones, what
alternative hypothesis should it use if it wants to buy the ambulances only if it can be
shown that this will significantly reduce the average weekly maintenance cost?
Ho:H = $52.00/week
O H:H> $52.00/week
o H:µ< $52.00/week
o H:H # $52.00/week
b)
What alternative hypothesis should the ambulance service use (see part a) if it is
anxious to buy the new ambulances (which have some other nice features) unless it can
be shown that they will significantly increase the average weekly maintenance cost?
Ho:H = $52.00/week
O H;:µ> $52.00/week
o H:H< $52.00/week
o H:µ # $52.00/week
A major Canadian brewery has held an 18% share of the market. However, because of
an increased marketing effort, company officials believe the brewery's market share is
now greater than 18%. What alternative hypothesis should the company officials use if
they want to prove that their market share has significantly increased?
c)
Ho:p = 0.18
O H:p > 0.18
o H:p< 0.18
o H:p# 0.18
d)
What alternative hypothesis should a quality improvement team use if it wants to make
sure that wire leads are meeting a specification of 10 cm in length?
Ho:H = 10 cm
%3D
O H:> 10 cm
o H:H<10 cm
o H:u # 10 cm

Transcribed Image Text:A manufacturer of automobile batteries claims that the distribution of the lengths of life of its
best battery has a mean of 54 months and a standard deviation of 6 months. The shape of the
population distribution is unknown.
A consumer group decides to check the claim (u = 54 months) by purchasing a sample of 50 of
%3D
these batteries and subjecting them to tests that determine battery life.
a)
What is the shape of the sampling distribution of the mean? Explain.
b)
What is the mean of the sampling distribution (centre)?
c)
Calculate the standard error of the mean for the sampling distribution (spread).
d)
Assuming that the manufacturer's claim is true, what is the probability the consumer
group's sample has a mean life of 52 or fewer months?
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