STATS&PROB Assessment

The distributor of a popular milk tea outlet near a school projected that the students’ average consumption of milk tea daily is 417.50 ml with a standard deviation of 24. The owner of the outlet claims that the students’ average consumption is more than 417.50 ml. He took sample of orders from 31 students, whose mean is 425.72 ml. Test if the distributors claim is true using α = 0.01.

What is the population parameter of interest?

• Population Mean - 417.50 ml

• Population Mean - 425.72 ml

• Population Standard Deviation - 24

• Sample - 30 students

A wellness clinic claims that their diet and wellness program provides an average loss of 24 pounds in 25 days. The clinic introduced a new program, which they guaranteed as effective, that strictly monitors the salt, sugar and saturated fat intake. If random sample of 55 patients were tested, yielding a mean of 27.75 pounds and a standard deviation of 13.5 pounds. Is the new program really effective? Test using α = 0.01.

What is the null and alternative hypotheses?

• H_o: μ = 24 ; H_a: μ < 24

• H_o: μ = 24 ; H_a: μ ≠ 24

• H_o: μ = 24 ; H_a: μ > 24

• H_o: μ > 24 ; H_a: μ < 24

A wellness clinic claims that their diet and wellness program provides an average loss of 24 pounds in 25 days. The clinic introduced a new program, which they guaranteed as effective, that strictly monitors the salt, sugar and saturated fat intake. If random sample of 55 patients were tested, yielding a mean of 27.75 pounds and a standard deviation of 13.5 pounds. Is the new program really effective? Test using α = 0.01.

What is the appropriate test statistic to be used in the problem?

• A - Test

• M - Test

• T - Test

• Z - Test

A wellness clinic claims that their diet and wellness program provides an average loss of 24 pounds in 25 days. The clinic introduced a new program, which they guaranteed as effective, that strictly monitors the salt, sugar and saturated fat intake. If random sample of 55 patients were tested, yielding a mean of 27.75 pounds and a standard deviation of 13.5 pounds. Is the new program really effective? Test using α = 0.01.

What is the level of significance for this problem?

• α = 0.05

• α = 0.01

• α = 0.03

• α = 0.09

Based on the previous problem, what is the critical value that must be used?

• 1.645

• 1.282

• 2.33

• 2.05

A wellness clinic claims that their diet and wellness program provides an average loss of 24 pounds in 25 days. The clinic introduced a new program, which they guaranteed as effective, that strictly monitors the salt, sugar and saturated fat intake. If random sample of 55 patients were tested, yielding a mean of 27.75 pounds and a standard deviation of 13.5 pounds. Is the new program really effective? Test using α = 0.01

Given that the critical value = 2.33, what will be the basis for our conclusion for this problem?

• Reject Ho if the computed z - value is less than the z value 2.33

• Reject Ho if the computed z - value is less than the z value -2.33

• Reject Ho if the computed z - value is greater than the z value -2.33

• Reject Ho if the computed z - value is greater than the z value 2.33

Level of significance is used as a safeguard not to commit a Type I error. True or False?

We can only use z - test formula when n is greater than 30. True or False?

We should use t - test formula when n is less than 30 and population deviation is not known.

When α = 0.03, then what is our confidence level?