A drink vending machine is adjusted so that, on average, it dispenses 250ml of fruit juice with a standard deviation of 25ml into a plastic cup. However, the machine tends to go out of adjustment and periodic checks are made to determine the average amount of fruit juice being dispensed. The operator thinks that the amount dispensed is less than 250 ml. So to verify, a sample of 35 drinks is taken to test the adjustment of the machine and a mean of 225 is obtained. For α = 5%, what is the appropriate hypotheses? F ormulate your answer in statement form in your answer sheet.

H o : μ = 250 ; H a : μ < 250 H_o:\ \mu=250;\ Ha:\ \mu<250 H o : μ = 2 5 0 ; H a : μ < 2 5 0

H o : μ = 250 ; H a : μ = 250 H_o:\ \mu=250;\ Ha:\ \mu=250 H o : μ = 2 5 0 ; H a : μ = 2 5 0

H o : μ = 250 ; H a : μ ≠ 250 H_o:\ \mu=250;\ Ha:\ \mu\ne250 H o : μ = 2 5 0 ; H a : μ  = 2 5 0

H o : μ = 250 ; H a : μ > 250 H_o:\ \mu=250;\ Ha:\ \mu>250 H o : μ = 2 5 0 ; H a : μ > 2 5 0

A drink vending machine is adjusted so that, on average, it dispenses 250ml of fruit juice with a standard deviation of 25ml into a plastic cup. However, the machine tends to go out of adjustment and periodic checks are made to determine the average amount of fruit juice being dispensed. The operator thinks that the amount dispensed is less than 250 ml. So to verify, a sample of 35 drinks is taken to test the adjustment of the machine and a mean of 225 is obtained. For α = 5%, calculate the appropriate test statistics. Show your solution in statement form in your answer sheet.

z ≈ − 5.916 z\approx-5.916 z ≈ − 5 . 9 1 6

t ≈ − 5.916 t\approx-5.916 t ≈ − 5 . 9 1 6

t ≈ 5.916 t\approx5.916 t ≈ 5 . 9 1 6

z ≈ 5.916 z\approx5.916 z ≈ 5 . 9 1 6

A drink vending machine is adjusted so that, on average, it dispenses 250ml of fruit juice with a standard deviation of 25ml into a plastic cup. However, the machine tends to go out of adjustment and periodic checks are made to determine the average amount of fruit juice being dispensed. The operator thinks that the amount dispensed is less than 250 ml. So to verify, a sample of 35 drinks is taken to test the adjustment of the machine and a mean of 225 is obtained. For α = 5%, determine the appropriate critical value. Draw the critical region in your answer sheet.

C V = − 1.645 CV=-1.645 C V = − 1 . 6 4 5

C V = − 1.697 CV=-1.697 C V = − 1 . 6 9 7

C V = − 1.96 CV=-1.96 C V = − 1 . 9 6

C V = − 2.042 CV=-2.042 C V = − 2 . 0 4 2

A drink vending machine is adjusted so that, on average, it dispenses 250ml of fruit juice with a standard deviation of 25ml into a plastic cup. However, the machine tends to go out of adjustment and periodic checks are made to determine the average amount of fruit juice being dispensed. The operator thinks that the amount dispensed is less than 250 ml. So to verify, a sample of 35 drinks is taken to test the adjustment of the machine and a mean of 225 is obtained. For α = 5%, determine the appropriate decision. Explain your answer in statement form in your answer sheet.

R e j e c t t h e N u l l H y p o t h e s i s Reject\ the\ Null\ Hypothesis R e j e c t t h e N u l l H y p o t h e s i s

D o n o t r e j e c t t h e N u l l H y p o t h e s i s Do\ not\ reject\ the\ Null\ Hypothesis D o n o t r e j e c t t h e N u l l H y p o t h e s i s

A drink vending machine is adjusted so that, on average, it dispenses 250ml of fruit juice with a standard deviation of 25ml into a plastic cup. However, the machine tends to go out of adjustment and periodic checks are made to determine the average amount of fruit juice being dispensed. The operator thinks that the amount dispensed is less than 250 ml. So to verify, a sample of 35 drinks is taken to test the adjustment of the machine and a mean of 225 is obtained. For α = 5%, choose the appropriate conclusion then complete the statement in your solution in your answer sheet.

There is sufficient evidence to verify that _____ .

There is no sufficient evidence to verify that _____ .

Hypothesis Testing on Population Mean Quiz

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.

$\mu$

$\sigma$

$\sigma^2$

$p$

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.

$H_o:\ \mu=100;\ Ha:\ \mu<100$

$H_o:\ \mu=100;\ Ha:\ \mu=100$

$H_o:\ \mu=100;\ Ha:\ \mu\ne100$

$H_o:\ \mu=100;\ Ha:\ \mu>100$

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.

$z\approx-2.795$

$t\approx-2.795$

$t\approx2.795$

$z\approx2.795$

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.

$CV=\pm1.645$

$CV=\pm1.729$

$CV=\pm1.96$

$CV=\pm2.093$

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.

$H_o:\ \mu=360;\ Ha:\ \mu<360$

$H_o:\ \mu=360;\ Ha:\ \mu=360$

$H_o:\ \mu=360;\ Ha:\ \mu\ne360$

$H_o:\ \mu=360;\ Ha:\ \mu>360$

8.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.

$z\approx-2.191$

$t\approx-2.191$

$t\approx2.191$

$z\approx2.191$

9.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.

$CV=1.28$

$CV=2.33$

$CV=2.462$

$CV=2.756$

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.

$Reject\ the\ Null\ Hypothesis$

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

Hypothesis Testing on Population Mean

16 questions

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