John works as a "sanitation engineer" for a zoo that has only 10 elephants and 8 zebras in the whole zoo (a budgetary problem). Every day he goes to work he feels like he is shoveling a great deal of waste and he wants to know if the amount of waste that he disposes of on average is different than the normal amount elephant/zebra zoos dispose of. On any given day 1500 pounds of waste, with a standard deviation of 500 pounds, are removed from these types of facilities across the country, however John shovels 1700 pounds of waste a day. Is John shoveling significantly more crap than the average facility? State Null Hypothesis ho:μ 1500 Alternative Hypothesis h₁:μ Decide on a (usually .05) a = Decide on type of test (distribution; z, t, etc.) Questions to ask: a. Can we assume a normally distributed sampling distribution? In other words, do we have 30+ participants OR a normally distributed population? If yes, then continue. If no, do not continue, the test cannot be performed. b. Do we know the population standard deviation? If yes, then use o to estimate og and perform a Z-test 08 = 1500 If no, then use s to estimate sx and perform a t-test Sx = Find critical value & state decision rule Critical Value Questions to ask: a. Is this a 1-tailed or a 2-tailed test? b. If it is a t-test what are the degrees of freedom (DF)? If this is a Z-test, find the z-value(s) that correspond to alpha (e.g. 1.96, 1.64) and that is your critical value. If this is a t-test, use alpha, the number of tails and the degrees of freedom to look up the critical value in a t-table. Decision Rule In words: If If numbers: If Calculate test Apply decision rule Since, the null hypothesis. observed is larger than reject the null hypothesis χ-μ σx or sx critical reject the null hypothesis = -(i.e.observed value) (i.e. >,<)————(critical value), (ie.DO or DO NOT) reject
John works as a "sanitation engineer" for a zoo that has only 10 elephants and 8 zebras in the whole zoo (a budgetary problem). Every day he goes to work he feels like he is shoveling a great deal of waste and he wants to know if the amount of waste that he disposes of on average is different than the normal amount elephant/zebra zoos dispose of. On any given day 1500 pounds of waste, with a standard deviation of 500 pounds, are removed from these types of facilities across the country, however John shovels 1700 pounds of waste a day. Is John shoveling significantly more crap than the average facility? State Null Hypothesis ho:μ 1500 Alternative Hypothesis h₁:μ Decide on a (usually .05) a = Decide on type of test (distribution; z, t, etc.) Questions to ask: a. Can we assume a normally distributed sampling distribution? In other words, do we have 30+ participants OR a normally distributed population? If yes, then continue. If no, do not continue, the test cannot be performed. b. Do we know the population standard deviation? If yes, then use o to estimate og and perform a Z-test 08 = 1500 If no, then use s to estimate sx and perform a t-test Sx = Find critical value & state decision rule Critical Value Questions to ask: a. Is this a 1-tailed or a 2-tailed test? b. If it is a t-test what are the degrees of freedom (DF)? If this is a Z-test, find the z-value(s) that correspond to alpha (e.g. 1.96, 1.64) and that is your critical value. If this is a t-test, use alpha, the number of tails and the degrees of freedom to look up the critical value in a t-table. Decision Rule In words: If If numbers: If Calculate test Apply decision rule Since, the null hypothesis. observed is larger than reject the null hypothesis χ-μ σx or sx critical reject the null hypothesis = -(i.e.observed value) (i.e. >,<)————(critical value), (ie.DO or DO NOT) reject
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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![John works as a "sanitation engineer" for a zoo that has only 10 elephants and 8 zebras in the
whole zoo (a budgetary problem). Every day he goes to work he feels like he is shoveling a great
deal of waste and he wants to know if the amount of waste that he disposes of on average is
different than the normal amount elephant/zebra zoos dispose of. On any given day 1500
pounds of waste, with a standard deviation of 500 pounds, are removed from these types of
facilities across the country, however John shovels 1700 pounds of waste a day. Is John
shoveling significantly more crap than the average facility?
State Null Hypothesis ho:μ____1500
Alternative Hypothesis h₁: μ
Decide on a (usually .05) a =
Decide on type of test (distribution; z, t, etc.)
Questions to ask:
a. Can we assume a normally distributed sampling distribution?
In other words, do we have 30+ participants OR a normally distributed population?
If
yes, then continue.
If no, do not continue, the test cannot be performed.
b. Do we know the population standard deviation?
If yes, then use o to estimate ox and perform a Z-test
0x =
08
1500
If no, then use s to estimate sx and perform a t-test
Sx
S8 =
Find critical value & state decision rule
Critical Value
Questions to ask:
a. Is this a 1-tailed or a 2-tailed test?
b. If it is a t-test what are the degrees of freedom (DF)?
If this is a Z-test, find the z-value(s) that correspond to alpha (e.g. 1.96, 1.64) and that is
your critical value.
If this is a t-test, use alpha, the number of tails and the degrees of freedom to look up
the critical value in a t-table.
Decision Rule
In words: If
If numbers: If
Calculate test
Apply decision rule
Since,
the null hypothesis.
observed is larger than
(i.e.observed value)
reject the null hypothesis
X - μ
σx or sx
critical reject the null hypothesis
-(i.e. >,<)
_(critical value),
(i.e.DO or DO NOT) reject](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a5ee67b-e6aa-4255-ac39-c4f46f5a47b6%2F335c0bed-cec0-4f32-b432-36aba50357ad%2Fxjj575_processed.png&w=3840&q=75)
Transcribed Image Text:John works as a "sanitation engineer" for a zoo that has only 10 elephants and 8 zebras in the
whole zoo (a budgetary problem). Every day he goes to work he feels like he is shoveling a great
deal of waste and he wants to know if the amount of waste that he disposes of on average is
different than the normal amount elephant/zebra zoos dispose of. On any given day 1500
pounds of waste, with a standard deviation of 500 pounds, are removed from these types of
facilities across the country, however John shovels 1700 pounds of waste a day. Is John
shoveling significantly more crap than the average facility?
State Null Hypothesis ho:μ____1500
Alternative Hypothesis h₁: μ
Decide on a (usually .05) a =
Decide on type of test (distribution; z, t, etc.)
Questions to ask:
a. Can we assume a normally distributed sampling distribution?
In other words, do we have 30+ participants OR a normally distributed population?
If
yes, then continue.
If no, do not continue, the test cannot be performed.
b. Do we know the population standard deviation?
If yes, then use o to estimate ox and perform a Z-test
0x =
08
1500
If no, then use s to estimate sx and perform a t-test
Sx
S8 =
Find critical value & state decision rule
Critical Value
Questions to ask:
a. Is this a 1-tailed or a 2-tailed test?
b. If it is a t-test what are the degrees of freedom (DF)?
If this is a Z-test, find the z-value(s) that correspond to alpha (e.g. 1.96, 1.64) and that is
your critical value.
If this is a t-test, use alpha, the number of tails and the degrees of freedom to look up
the critical value in a t-table.
Decision Rule
In words: If
If numbers: If
Calculate test
Apply decision rule
Since,
the null hypothesis.
observed is larger than
(i.e.observed value)
reject the null hypothesis
X - μ
σx or sx
critical reject the null hypothesis
-(i.e. >,<)
_(critical value),
(i.e.DO or DO NOT) reject
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