Identifying the rejection region

A researcher used a developed problem solving test to randomly select 50 grade 6 learners. In this sample, the mean score and standard deviation are 80 and 10, respectively. The mean score and standard deviation of the population in the standardization of the test were 75 and 15, respectively. Does the sample mean differ significantly from the population mean at 95% confidence level?

Describe the parameter.

• Mean score of grade 6 learners in a problem solving test

• Standard deviation of the scores of grade 6 learners in a problem solving test

• Variance of the scores of grade 6 learners in a problem solving test

Tags

CCSS.HSS.IC.B.4

A researcher used a developed problem solving test to randomly select 50 grade 6 learners. In this sample, the mean score and standard deviation are 80 and 10, respectively. The mean score and standard deviation of the population in the standardization of the test were 75 and 15, respectively. Does the sample mean differ significantly from the population mean at 95% confidence level?

What is the null hypothesis in symbols?

A researcher used a developed problem solving test to randomly select 50 grade 6 learners. In this sample, the mean score and standard deviation are 80 and 10, respectively. The mean score and standard deviation of the population in the standardization of the test were 75 and 15, respectively. Does the sample mean differ significantly from the population mean at 95% confidence level?

What is the alternative hypothesis in symbols?

A researcher used a developed problem solving test to randomly select 50 grade 6 learners. In this sample, the mean score and standard deviation are 80 and 10, respectively. The mean score and standard deviation of the population in the standardization of the test were 75 and 15, respectively. Does the sample mean differ significantly from the population mean at 95% confidence level?

What is the level of significance?

Tags

CCSS.HSS.ID.A.4

A researcher used a developed problem solving test to randomly select 50 grade 6 learners. In this sample, the mean score and standard deviation are 80 and 10, respectively. The mean score and standard deviation of the population in the standardization of the test were 75 and 15, respectively. Does the sample mean differ significantly from the population mean at 95% confidence level?

What test statistic should be used?

• t-test

• z-test

• r

• annova

Tags

CCSS.HSS.ID.A.4

A researcher used a developed problem solving test to randomly select 50 grade 6 learners. In this sample, the mean score and standard deviation are 80 and 10, respectively. The mean score and standard deviation of the population in the standardization of the test were 75 and 15, respectively. Does the sample mean differ significantly from the population mean at 95% confidence level?

What is the value of the test statistic?

• 2.36

• 3.54

• -2.36

• -3.54

Tags

CCSS.HSS.ID.A.4

A researcher used a developed problem solving test to randomly select 50 grade 6 learners. In this sample, the mean score and standard deviation are 80 and 10, respectively. The mean score and standard deviation of the population in the standardization of the test were 75 and 15, respectively. Does the sample mean differ significantly from the population mean at 95% confidence level?

What is the critical value/s?

• 1.960

Tags

CCSS.HSS.ID.A.4

A researcher used a developed problem solving test to randomly select 50 grade 6 learners. In this sample, the mean score and standard deviation are 80 and 10, respectively. The mean score and standard deviation of the population in the standardization of the test were 75 and 15, respectively. Does the sample mean differ significantly from the population mean at 95% confidence level?

Sketch the rejection region/s?

• 
• 
• 

Tags

CCSS.HSS.IC.B.4

A researcher used a developed problem solving test to randomly select 50 grade 6 learners. In this sample, the mean score and standard deviation are 80 and 10, respectively. The mean score and standard deviation of the population in the standardization of the test were 75 and 15, respectively. Does the sample mean differ significantly from the population mean at 95% confidence level?

Describe the rejection region/s?

• The rejection region is below z=-1.96 and above z=1.96.

• The rejection region is below z=-1.96.

• The rejection region is above z=1.96.

• There is no rejection region.

Tags

CCSS.HSS.IC.B.4