Harry's copy of Perform z-test for hypothesis given sample mean and population variance

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Harry Flynn 6 years, 4 months ago

Created this as a copy of Perform z-test for hypothesis given sample mean and population variance.

Name	Status	Author	Last Modified
Perform z-test for hypothesis given sample mean and population variance	draft	Newcastle University Mathematics and Statistics	20/11/2019 14:50
Harry's copy of Perform z-test for hypothesis given sample mean and population variance	draft	Harry Flynn	15/11/2018 09:54
STAT7008 Hypothesis test given sample mean and population variance (vending machine)	draft	Catherine Palmer	03/03/2020 21:59

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Question statement

{this} {stuff}

{claim} $\var{thismuch}$ {units} and {var} {thisvar}.

{test}

To investigate a sample of $\var{n}$ {things} {resultis} $\var{m}$ {units}.

Perform an appropriate hypothesis test to see if the claim made by the customers is substantiated.

Give any introductory information the student needs.

			Name	Type	Generated Value

claim	string	The vending machine company cl
var	string	the variance of the filling pr
pval	integer	3
evi1	list	List of 4 items
crit	list	[ 1.282, 1.645, 2.326 ]
zval1	number	2.9154759474
things	string	cups is taken
tol	number	0.001
units	string	ml
thismuch	integer	141
pm	list	List of 4 items
correctc	string	There is sufficient evidence a
resultis	string	giving a mean of
thisvar	integer	360
test	string	Customers of the vending machi
zval	number	2.915
fac	string	There is insufficient evidence
confl	integer	95
evi	list	List of 4 items
mm	list	[ 0, 0, 0, 1 ]
dothis	string	reject
m	integer	135
dmm	list	[ 0, 1 ]
n	integer	85
this	string	A vending machine fills cups w
stand	integer	18
stuff		Definition of variable `stuff` is empty.

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
"The vending machine company claims each cup should be filled with "

JME function reference

Description

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

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Generated value: `string`

The vending machine company claims each cup should be filled with

→ Used by:

Statement

Parts

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

Gap-fill

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Step 1: Null Hypothesis

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

Step 2: Alternative Hypothesis

$\operatorname{H}_1\;: \; \mu \lt\;$Gap 1.

Advice

Step 1: Null Hypothesis

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

Step 2: Alternative Hypothesis

$\operatorname{H}_1\;: \; \mu \lt\;\var{thismuch}$

We should use the z statistic as the population variance is known.

The test statistic:

\[z =\frac{ |\var{m} -\var{thismuch}|} {\sqrt{\frac{\var{thisvar}}{\var{n}}}} = \var{zval}\]

to 3 decimal places.

{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}

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Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
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Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet

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Harry's copy of Perform z-test for hypothesis given sample mean and population variance

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Harry Flynn 6 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: `string`

Parts

Gap-fill

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Error

Harry's copy of Perform z-test for hypothesis given sample mean and population variance

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Harry Flynn 6 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: string

Parts

Gap-fill

Generated value: `string`