Hypothesis Testing on Population Mean

A researcher reports that the average IQ level of students in Davao Oriental Regional Science High School (DORSHSHS) is 100. A sample of 20 students has a mean IQ level of 105 with a standard deviation of 8. In testing the claim that the IQ level of students in DORSHS is 100, at 5% level of significance, what the parameter to be tested? Explain your answer in your answer sheet.

•  $\mu$ 

•  $\sigma$ 

•  $\sigma^2$ 

•  $p$ 

A researcher reports that the average IQ level of students in Davao Oriental Regional Science High School (DORSHSHS) is 100. A sample of 20 students has a mean IQ level of 105 with a standard deviation of 8. In testing the claim that the IQ level of students in DORSHS is 100, at 5% level of significance, which of the following illustrates the correct null & alternative hypotheses? Formulate the hypotheses in statement form in your answer sheet.

• $H_o:\ \mu=100;\ Ha:\ \mu<100$

• $H_o:\ \mu=100;\ Ha:\ \mu=100$

• $H_o:\ \mu=100;\ Ha:\ \mu\ne100$

• $H_o:\ \mu=100;\ Ha:\ \mu>100$

A researcher reports that the average IQ level of students in Davao Oriental Regional Science High School (DORSHSHS) is 100. A sample of 20 students has a mean IQ level of 105 with a standard deviation of 8. In testing the claim that the IQ level of students in DORSHS is 100, at 5% level of significance, calculate the appropriate test statistic. Show your solution in your answer sheet.

•  $z\approx-2.795$ 

•  $t\approx-2.795$ 

•  $t\approx2.795$ 

•  $z\approx2.795$ 

A researcher reports that the average IQ level of students in Davao Oriental Regional Science High School (DORSHSHS) is 100. A sample of 20 students has a mean IQ level of 105 with a standard deviation of 8. In testing the claim that the IQ level of students in DORSHS is 100, at 5% level of significance, what is the appropriate critical value of the rejection region for the given level of significance? Draw the rejection region in your answer sheet.

•  $CV=\pm1.645$ 

•  $CV=\pm1.729$ 

•  $CV=\pm1.96$ 

•  $CV=\pm2.093$ 

A researcher reports that the average IQ level of students in Davao Oriental Regional Science High School (DORSHSHS) is 100. A sample of 20 students has a mean IQ level of 105 with a standard deviation of 8. In testing the claim that the IQ level of students in DORSHS is 100, at 5% level of significance, what is the appropriate decision. Explain your solution in your answer sheet.

•  $Reject\ the\ Null\ Hypothesis$ 

•  $Do\ not\ reject\ the\ Null\ Hypothesis$ 

A researcher reports that the average IQ level of students in Davao Oriental Regional Science High School (DORSHSHS) is 100. A sample of 20 students has a mean IQ level of 105 with a standard deviation of 8. Test the claim that the IQ level of students in DORSHS is 100, at 5% level of significance. Choose the appropriate conclusion then complete the statement in your solution in your answer sheet.

• There is sufficient evidence to reject the claim that _____ .

• There is no sufficient evidence to reject the claim that _____ .

According to a report last year, a Matinian household spends an average of ₱360 a day. You took a random sample of 30 households and determined the amount of their allotted budget each day revealing a mean of ₱400 and standard deviation of ₱100. Using 0.01 level of significance and assuming normality over the population, what is the appropriate hypotheses to test if it be concluded that the average amount spent per day by a Filipino household has increased? Formulate your answer in statement form in your answer sheet.

•  $H_o:\ \mu=360;\ Ha:\ \mu<360$ 

•  $H_o:\ \mu=360;\ Ha:\ \mu=360$ 
  

•  $H_o:\ \mu=360;\ Ha:\ \mu\ne360$ 

•  $H_o:\ \mu=360;\ Ha:\ \mu>360$ 

According to a report last year, a Matinian household spends an average of ₱360 a day. You took a random sample of 30 households and determined the amount of their allotted budget each day revealing a mean of ₱400 and standard deviation of ₱100. Using 0.01 level of significance and assuming normality over the population, calculate the value of the appropriate test statistic to test if it be concluded that the average amount spent per day by a Filipino household has increased. Show your solution in statement form in your answer sheet.

•  $z\approx-2.191$ 

•  $t\approx-2.191$ 

•  $t\approx2.191$ 

•  $z\approx2.191$ 

According to a report last year, a Matinian household spends an average of ₱360 a day. You took a random sample of 30 households and determined the amount of their allotted budget each day revealing a mean of ₱400 and standard deviation of ₱100. Using 0.01 level of significance and assuming normality over the population, determine the appropriate critical value to test if it be concluded that the average amount spent per day by a Filipino household has increased. Draw the critical region in your answer sheet.

•  $CV=1.28$ 

•  $CV=2.33$ 

•  $CV=2.462$ 

•  $CV=2.756$ 

According to a report last year, a Matinian household spends an average of ₱360 a day. You took a random sample of 30 households and determined the amount of their allotted budget each day revealing a mean of ₱400 and standard deviation of ₱100. Using 0.01 level of significance and assuming normality over the population,  what is the appropriate decision to test if it be concluded that the average amount spent per day by a Filipino household has increased. Explain your answer in statement form in your answer sheet.

•  $Reject\ the\ Null\ Hypothesis$ 

•  $Do\ not\ reject\ the\ Null\ Hypothesis$