Person's last name X X2 sarron 6 36 jaxon 5 25 jill 4 16 chavez 6 36 Totals This activity involves testing a hypothesis about a population mean μ, where σ, the population standard deviation is unknown. We will test a hypothesis about the number of letters in students' last names. The claim is that the average number of letters in students' last names is less than 7. Assume that the population standard deviation σ is not known and that s the sample standard deviation has to be calculated. a = ? critical value = ? degrees of freedom = ? graph and label critical regions mean = ? standard deviation = ? conclusion = ? z = ?
| Person's last name | X | X2 |
| sarron | 6 | 36 |
| jaxon | 5 | 25 |
| jill | 4 | 16 |
| chavez | 6 | 36 |
| Totals |
This activity involves testing a hypothesis about a population mean μ, where σ, the population standard deviation is unknown. We will test a hypothesis about the number of letters in students' last names. The claim is that the average number of letters in students' last names is less than 7. Assume that the population standard deviation σ is not known and that s the sample standard deviation has to be calculated.
a = ?
critical value = ?
degrees of freedom = ?
graph and label critical regions
mean = ?
standard deviation = ?
conclusion = ?
z = ?
Given: n=4
The mean and sample standard deviation is given by,
The hypothesis is,
The level of significance is 0.05.
Degrees of freedom= n-1 = 4-1 = 3
The critical value for one tailed test at 0.05 level o significance with 3 df is 2.353.
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