Perform t-test for hypothesis given sample mean and standard deviation

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Adam Vellender

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Adam Vellender 7 years, 3 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

{this}

{claim}

{test}

A sample of {n} {things}

{resultis} £{m} with a standard deviation of £{stand}.

Perform an appropriate hypothesis test to see if the claim made by the online flight company is substantiated (use a two-tailed test).

Give any introductory information the student needs.

			Name	Type	Generated Value

claim	string	The average cost of a flight w
pval	integer	3
evi1	list	List of 4 items
crit	list	[ 1.701, 2.048, 2.763 ]
tval1	number	3.8465462908
things	string	customers is taken.
stand	integer	21
tol	number	0.001
test	string	A rival flight company decides
pm	list	List of 4 items
correctc	string	There is sufficient evidence a
resultis	string	The mean cost of a flight to A
here	string	Athens
fac	string	There is insufficient evidence
confl	integer	95
evi	list	List of 4 items
this	string	An online flight company makes
dothis	string	reject
m	integer	105
dmm	list	[ 0, 1 ]
n	integer	29
mm	list	[ 0, 0, 0, 1 ]
thisamount	integer	90
tval	number	3.847

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
"The average cost of a flight with us to "+ here + " is just £" + {thisamount} + " (including all taxes and charges!)"

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`

The average cost of a flight with us to Athens is just £90 (including all taxes and charges!)

← 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
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2. Gap Gap 1. Number entry
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Part c) Gap-fill
1. Gap Choose one from a list
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Part d) Gap-fill

Gap-fill

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

Step 1: Null Hypothesis

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

Step 2: Alternative Hypothesis

$\operatorname{H}_1\;: \; \mu \neq\;$ 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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T-tests by Adam Vellender in Adam's workspace.

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Perform t-test for hypothesis given sample mean and standard deviation

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Adam Vellender 7 years, 3 months ago

Error in variable testing condition

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Warning

Generated value: `string`

Parts

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Error

Perform t-test for hypothesis given sample mean and standard deviation

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Adam Vellender 7 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: string

Parts

Gap-fill

Generated value: `string`