Test istotności dla jednej średniej

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Aleksandra Romanowska

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3 years, 9 months ago

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Aleksandra Romanowska 3 years, 9 months ago

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Aleksandra Romanowska 3 years, 9 months ago

Created this as a copy of Perform t-test for hypothesis given sample mean and standard deviation.

Name	Status	Author	Last Modified
Perform t-test for hypothesis given sample mean and standard deviation	draft	Newcastle University Mathematics and Statistics	20/11/2019 14:50
Perform t-test for hypothesis given sample mean and standard deviation	draft	Adam Vellender	22/11/2017 16:00
Patrice's copy of Perform t-test for hypothesis given sample mean and standard deviation	draft	Patrice Behan	16/01/2018 14:41
Patrice's copy of Perform t-test for hypothesis given sample mean and standard deviation	draft	Patrice Behan	16/01/2018 14:41
Patrice's copy of Patrice's copy of Perform t-test for hypothesis given sample mean and standard deviation	draft	Patrice Behan	16/01/2018 14:41
Patrice's copy of Perform t-test for hypothesis given sample mean and standard deviation	draft	Patrice Behan	16/01/2018 14:41
Patrice's copy of Patrice's copy of Perform t-test for hypothesis given sample mean and standard deviation	draft	Patrice Behan	16/01/2018 14:41
David's copy of Perform t-test for hypothesis given sample mean and standard deviation	draft	David Goulding	18/09/2018 16:24
Hypothesis test (volume)	draft	Catherine Palmer	29/02/2020 11:30
Harry's copy of Harry's copy of Perform t-test for hypothesis given sample mean and standard deviation two sided, one sample	draft	Harry Flynn	15/11/2018 09:47
Harry's copy of David's copy of Perform t-test for hypothesis given sample mean and standard deviation	draft	Harry Flynn	15/11/2018 09:49
Hypothesis test (t)	draft	Catherine Palmer	25/11/2018 23:09
Test istotności dla jednej średniej	Ready to use	Aleksandra Romanowska	08/05/2023 12:27

There are 12 other versions that do you not have access to.

Question statement

Znany przewoźnik lotniczy reklamuje, że {claim}. Aby zweryfikować, czy jest to prawda, zapytano {n} pasażerów podróżujących tymi liniami do Paryża o to, ile zapłacili za bilet.

{resultis} {m} euro z odchyleniem standardowym {stand} euro.

Na poziomie istotności 0,05 zweryfikuj odpowiednią hipotezę, aby sprawdzić, czy deklaracja przewoźnika w reklamie jest prawdziwa (użyj testu dwustronnego).

Give any introductory information the student needs.

			Name	Type	Generated Value

			Name	Type	Generated Value

claim	string	Średni koszt lotu jego liniami
pval	integer	2
evi1	list	List of 4 items
crit	list	[ 1.679, 2.013, 2.687 ]
tval1	number	2.086503574
things	string	customers is taken.
stand	integer	23
tol	number	0.05
test	string	A rival flight company decides
pm	list	List of 4 items
correctc	string	There is sufficient evidence a
resultis	string	Średnia cena biletu w tej prób
here	string	Athens
fac	string	There is insufficient evidence
confl	integer	99
evi	list	List of 4 items
this	string	An online flight company makes
dothis	string	reject
m	integer	96
dmm	list	[ 0, 1 ]
n	integer	47
mm	list	[ 0, 0, 1, 0 ]
thisamount	integer	89
tval	number	2.09
tstat	number	1.300
ucrit	number	1.96

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
"Średni koszt lotu jego liniami z polskich lotnisk do Paryża wynosi " + {thisamount} + " euro (wliczając podatki i opłaty)"

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `string`

Średni koszt lotu jego liniami z polskich lotnisk do Paryża wynosi 89 euro (wliczając podatki i opłaty)

← Depends on:

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
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Part b) Gap-fill
1. Gap Gap 0. Mathematical expression
  Add
2. Gap Gap 1. Number entry
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Part c) Gap-fill
1. Gap Number entry
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Part d) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
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Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Sformułuj hipotezę zerową oraz alternatywną:

$\operatorname{H}_0\;: \; m=\;$ Gap 0.

$\operatorname{H}_1\;: \; m \neq\;$ Gap 1.

Advice

Step 1: Null Hypothesis

$\operatorname{H}_0\;: \; \mu=\;\var{thisamount}$

Step 2: Alternative Hypothesis

$\operatorname{H}_1\;: \; \mu \neq\;\var{thisamount}$

We should use the t statistic as the population variance is unknown.

The test statistic:

\[t =\frac{ |\var{m} -\var{thisamount}|} {\sqrt{\frac{\var{stand} ^ 2 }{\var{n}}}} = \var{tval}\]

to 3 decimal places.

As $n=\var{n}$ we use the $t_{\var{n-1}}$ tables. We have the following data from the tables:

{table([['Critical Value',crit[0],crit[1],crit[2]]],['p value','10%','5%','1%'])}

We see that the $p$ value {pm[pval]}.

Hence there is {evi1[pval]} evidence against $\operatorname{H}_0$ and so we {dothis} $\operatorname{H}_0$.

{Correctc}

Give a worked solution to the whole question.

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This question is used in the following exams:

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Aleksandra Romanowska 3 years, 9 months ago

Aleksandra Romanowska 3 years, 9 months ago

Aleksandra Romanowska 3 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: `string`

Parts

Gap-fill

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Test istotności dla jednej średniej

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Aleksandra Romanowska 3 years, 9 months ago

Aleksandra Romanowska 3 years, 9 months ago

Aleksandra Romanowska 3 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: string

Parts

Gap-fill

Generated value: `string`