Question

1. Forum Description 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.;CREATE OWN SCENERIO WITH OWN NUMBERS. please check below if this is done correctly or if you can fix it and explain to me.

Describe a test of significance on the mean of a population by stating

1. A population: Victims of coronavirus at hospital

2. A quantitative variable on that population: Duration of stay

3. The population standard deviation of that variable with units: 3.7

4. A null hypothesis: 14

5. An alternative hypothesis: >14

6. an a-level: 0.05

7. a sample size: 20

8. A sample mean of that variable with units: 10.9

Find

9. the one sample z statistic and either: (10.9-14)/(3.7/sqrt(20))=-6.021

10. reject or fail to reject null hypothesis. What does this tell us about the population?

Answer 1

1)A population: Victims of coronavirus at hospital

2) A quantitative variable on that population: Duration of stay

3) The population standard deviation of that variable with units: SD=3.7

4) A null hypothesis: Ho:mu=14

5) An alternative hypothesis: H1:mu>14

6) an a-level: 0.05

7) a sample size: n=20

8) A sample mean of that variable with units= 10.9

9) the one sample z statistic and either: (10.9-14)/(3.7/sqrt(20))=-6.021

Z statistic is greater than z tabulated value

10) reject null hypothesis.