Question

Describe a test of significance on the mean of a population by stating
1. a population,
2. a quantitative variable on that population,
3. the population standard deviation of that variable (with units),
4. a null hypothesis,
5. an alternative hypothesis,
6. an α-level,
7. a sample size, and
8. a sample mean of that variable (with units). Find
9. the one-sample z-statistic and either
10. reject or fail to reject the null hypothesis. What does this tell us about the population? You do not need to list the values of the variable for individuals in either the sample or the population, and the values for 3, 4, 5, 6, 7, and 8 do not need to be calculated, only stated.

Answer 1

ANSWER::

Sol:

Are class 8 students in california are scoring better than national  average of  80 with a standard deviation of 12

population, is all class 8 students in california

a quantitative variable on that population is measuring the average score of sample of 25 students

a null hypothesis,

Ho:mu=80

an alternative hypothesis,

Ha:mu>80

6. an α-level

alpha=level of significance=0.05

7. a sample size,

sample size=n=25

. a sample mean of that variable (with units

sample mean=xbar=65

ind 9. the one-sample z-statistic

z=(65-80/(12/sqrt(25))=

z=-6.25

p=0.0000

10. reject or fail to reject the null hypothesis

p<0.05 Reject Null hypothesis

It tells that

There is sufficient evidence at 5% level of significance that class 8 students in california have not scored better than national  average of  80 .

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