Suppose we wish to test Ho: µ = 47 versus Ha: µ > 47. What will result if we conclude that the mean is greater than 47 when its true value is really 52? a. We have made a Type II error. b. We have made a Type I error. c. We have made a correct decision. d. None of the choices is correct.
1. Suppose we wish to test Ho: µ = 47 versus Ha: µ > 47. What will result if we conclude that the mean is greater than 47 when its true value is really 52?
a. We have made a Type II error.
b. We have made a Type I error.
c. We have made a correct decision.
d. None of the choices is correct.
2. A scientist would like to test if a certain vaccine’s side effect is increased heart rate. To test this claim, a random sample of 35 human subjects were tested and it was found out that their average resting heart rate is 87 beats per minute (bpm). Studies suggest that the average resting heart rate of a normal adult is around 80 beats per minute (bpm) with a standard deviation of 20 beats per minute (bpm). Which of the conclusion is supported by the data at 0.01 level of significance?
a. The vaccine does not significantly increase the average resting heart rate.
b. There is no sufficient evidence to say that the vaccine significantly increase the average resting heart rate.
c. The vaccine significantly increase the average resting heart rate.
d. There is no sufficient evidence to say that the vaccine does not significantly increase the average resting heart rate.
3. An inspector wants to test if the Coke-litro-filling machine is defective by getting a random sample of 22 Coke litro from different batches filled by the machine. It is found out that the sample mean of the random sample is about 1.09 liters with a sample standard deviation of 0.15 liters. What is the null and alternative hypothesis of the test?
a. Ho: x̄ = 1 liter versus Ha: x̄ > 1 liter
b. Ho: µ = 1 liter versus Ha: µ < 1 liter
c. Ho: µ = 1 liter versus Ha: µ ≠ 1 liter
d. Ho: µ = 1 liter versus Ha: µ > 1 liter
4. An inspector wants to test if the Coke-litro-filling machine is defective by getting a random sample of 22 Coke litro from different batches filled by the machine. It is found out that the sample mean of the random sample is about 1.09 liters with a sample standard deviation of 0.15 liters. Which among the values is the critical regions applicable for the test? Use 0.01 level of significance.
a. t > -2.831 and t < 2.831
b. t < -1.96 and t > 1.96
c. t < - 2.831 and t > 2.831
d. t > -1.96 and t < 1.96
5. An inspector wants to test if the Coke-litro-filling machine is defective by getting a random sample of 22 Coke litro from different batches filled by the machine. It is found out that the sample mean of the random sample is about 1.09 liters with a sample standard deviation of 0.15 liters. Which among the values below is the value of t?
a. t ≈ 2.8142
b. t ≈ 1.232
c. t ≈ -1.232
d. t ≈ -2.8142
6. An inspector wants to test if the Coke-litro-filling machine is defective by getting a random sample of 22 Coke litro from different batches filled by the machine. It is found out that the sample mean of the random sample is about 1.09 liters with a sample standard deviation of 0.15 liters. Which of the conclusion is supported by the data at 0.01 level of significance?
a. Do not repair the machine.
b. No conclusion can be made.
c. Repair the machine.
d. Get more samples to make a decision.
7. It is claimed by an advertisement that 4 out of 5 kids have energy gap. To test this, a random sample of 250 children were tested if they experienced this `energy gap.' It was found out that 202 of them is experiencing it. What is the null and alternative hypothesis of the test?
a. Ho: p ≠ 0.80 versus Ha: p = 0.80
b. Ho: p > 0.80 versus Ha: p < 0.80
c. Ho: p = 0.80 versus Ha: p ≠ 0.80
d. Ho: p = 0.80 versus Ha: p < 0.80
8. It is claimed by an advertisement that 4 out of 5 kids have energy gap. To test this, a random sample of 250 children were tested if they experienced this `energy gap.' It was found out that 202 of them is experiencing it. Which among the values is the critical regions applicable for the test? Use 0.05 level of significance.
a. z > 1.96 and z < -1.96
b. z < 1.96 and z > -1.96
c. z < -1.645
d. z > 1.645
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