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Perform a t-test to decide if two sample means differ, ,
Given two sets of data, sample mean and sample standard deviation, on performance on the same task, make a decision as to whether or not the mean times differ. Population variance not given, so the t test has to be used in conjunction with the pooled sample standard deviation.
Link to use of t tables and p-values in Show steps.
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
Contributors
History
Newcastle University Mathematics and Statistics 9 years, 1 month ago
Created this.| Name | Status | Author | Last Modified | |
|---|---|---|---|---|
| Perform a t-test to decide if two sample means differ, , | draft | Newcastle University Mathematics and Statistics | 20/11/2019 14:50 | |
| Simon's copy of Perform a t-test to decide if two sample means differ, , | draft | Simon Thomas | 05/06/2019 15:28 |
There are 6 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| sd1 | integer |
89
|
||||
| pval | integer |
0
|
||||
| evi1 | list |
List of 4 items
|
||||
| crit | list |
[ 1.734, 2.101, 2.878 ]
|
||||
| correctc | string |
There is insufficent evidence
|
||||
| tval1 | number |
1.5760248987
|
||||
| things | string |
male employees
|
||||
| m1 | integer |
300
|
||||
| tol | number |
0.001
|
||||
| units | string |
seconds
|
||||
| pm | list |
List of 4 items
|
||||
| tpsd | number |
84.7014364302
|
||||
| that | string |
the average time spent on the
|
||||
| psd | number |
84.701
|
||||
| fac | string |
There is evidence to suggest t
|
||||
| confl | list |
[ 90, 95, 99 ]
|
||||
| evi | list |
List of 4 items
|
||||
| mm | list |
[ 1, 0, 0, 0 ]
|
||||
| dothis | string |
retain
|
||||
| m | integer |
240
|
||||
| dmm | list |
[ 1, 0 ]
|
||||
| n | integer |
19
|
||||
| this | string |
A call centre company wants to
|
||||
| tval | number |
1.576
|
||||
| n1 | integer |
9
|
||||
| n2 | integer |
11
|
||||
| things1 | string |
female employees
|
||||
| sd | integer |
79
|
Generated value: integer
This variable doesn't seem to be used anywhere.
Parts
Information only
Ask the student a question, and give any hints about how they should answer this part.
Step 1: Null hypothesis
If $\mu_M$ is the mean for time spent by {things} and $\mu_F$ is the mean for time spent by {things1} then you are given that:
$\operatorname{H}_0\;:\;\mu_M=\mu_F$.
Step 2: Alternative Hypothesis
$\operatorname{H}_1\;:\;\mu_M \neq \mu_F$.
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