Quiz for Assessment for Learning

Which of the following serves as a guide in deciding whether to accept or reject the null hypothesis?

• Acceptance region

• Decision Rule

• Confidence level

• Interpretation

When the null hypothesis is rejected, which of the following is true?

• The conclusion is guaranteed.

• The conclusion is not guaranteed.

• There is a sufficient evidence to back up the decision.

• There is no sufficient evidence to back up the decision.

A manufacturer of a certain brand of rice cereal claims that the average saturated fat content does not exceed 1.5 grams per serving. What is the parameter to be tested?

• number of cereal brands

• amount of rice cereal

• serving

• saturated fat content.

A certain medical health association reports that the average cost of a 6-month medication for a patient with tuberculosis is ₱26 500. To see if the average cost is different in a nearby hospital, a researcher randomly sampled 25 patients from the said hospital with tuberculosis and found that the average cost of their medication is ₱24 800 with a standard deviation of ₱1 300. Calculate the test statistic for the hypothesis testing.

• -6.3

• -6.5

• -6.7

• -6.9

What is the significance of the rejection region?

• The rejection region has no significance.

• If the test statistic lies outside the rejection region, we will accept the null hypothesis.

• If the test statistics lies inside the rejection region, we will accept the null hypothesis.

• If the test statistics lies outside the rejection region, we will reject the null hypothesis.

Previous research showed that the average height of the female students of a certain university is 1.55 meters with a standard deviation of 0.14 meters. In order to verify this, researchers chose a random sample of 144 female students of the said university, and the average height obtained is 1.48 meters. What is the value of the test statistic?

• - 9

• - 8

• - 7

• - 6

A random sample of 225 nails produced by a manufacturing company is gathered. The engineer specified that the nails must have a mean length of 8 cm and a standard deviation of 0.04 cm. the average length of the nails in the sample is 8.055 cm. Test the claim using 0.01 level of significance.

Which should be the null and alternative hypothesis?

• H0:𝜇=8 , H1: 𝜇≠8

• H0:𝜇=8 , H1: 𝜇>8

• H0:𝜇=8 , H1: 𝜇<8

• H0: 𝜇<8, H1: 𝜇>8

A random sample of 225 nails produced by a manufacturing company is gathered. The engineer specified that the nails must have a mean length of 8 cm and a standard deviation of 0.04 cm. the average length of the nails in the sample is 8.055 cm. Test the claim using 0.01 level of significance.

What is the level of significance of the given scenario?

• 0.01

• 0.05

• 0.10

• 0.005

A random sample of 225 nails produced by a manufacturing company is gathered. The engineer specified that the nails must have a mean length of 8 cm and a standard deviation of 0.04 cm. the average length of the nails in the sample is 8.055 cm. Test the claim using 0.01 level of significance.

What test statistics and hypothesis test should be used in the scenario?

• two-tailed, z-test

• right-tailed, t-test

• left-tailed, z-test

• two-tailed, t-test

A random sample of 225 nails produced by a manufacturing company is gathered. The engineer specified that the nails must have a mean length of 8 cm and a standard deviation of 0.04 cm. the average length of the nails in the sample is 8.055 cm. Test the claim using 0.01 level of significance.

What is the value of the test statistic?

• - 20.6

• -21.6

• 20.6

• 21.6