A researcher claims that the average monthly expenditure of single persons employed in urban centers in the country is at least Php9,500. The null hypothesis for the test is

A. The average monthly expenditure of single persons employed in urban centers in the country is not Php9,500.

B. The average monthly expenditure of single persons employed in urban centers in the country is at most Php9,500.

C. The average monthly expenditure of single persons employed in urban centers in the country is less than Php9,500.

D. The average monthly expenditure of single persons employed in urban centers in the country is at least Php9,500.

The average time it takes for a person to experience relief after taking a particular brand of medicine is at least 30 minutes. A new ingredient is added to help speed up relief. Let denote the average time to obtain relief with the new product. An experiment is conducted to verify if the new product is better. Which of the following is the most appropriate null and alternative hypotheses for this problem?

A. Ho: 30 vs. Ha: < 30

B. Ho: < 30 vs. Ha: = 30

C. Ho: < 30 vs. Ha: > 30

D. Ho: 30 vs. Ha: > 30

John performs a hypothesis test and based on the analysis, he failed to reject the null hypothesis. If the null hypothesis is in fact false, John has committed a

A. type I error.

B. type II error.

C. correct decision

D. type A error.

In a series of observations, which of the following is not true in the calculation of the standard deviation?

A. If each value in the series of observations is increased by 10, the standard deviation will also increase by 10.

B. If each observation is multiplied by 2, the standard deviation will be doubled.

C. The sum of the squares of the deviations of items of any series from a value other than the arithmetic mean would always be greater.

D. The standard deviation is independent of any change of origin, but dependent on the change of scale.

You are the manager of a restaurant for a fast-food franchise. Last month, the mean waiting time at the drive-through window for branches in your geographical region, as measured from the time a customer places an order until the time the customer receives the order, was 3.7 minutes. You select a random sample of 64 orders. The sample mean waiting time is 3.57 minutes, with a sample standard deviation of 0.8 minute. What does the hypothesis test result tell you?

A. There is sufficient evidence indicating that the mean waiting time of customers at the drive-through window is significantly greater than 3.7 minutes.

B. There is sufficient evidence indicating that the mean waiting time of customers at the drive-through window is significantly lesser than 3.7 minutes.

C. There is no sufficient evidence to show that the mean waiting time of customers at the drive-through window is significantly different from 3.7 minutes.

D. There is sufficient evidence to show that the mean waiting time of customers at the drive-through window is significantly different from 3.7 minutes.

Given a normal distribution with =50 and =4, what is the probability that X>43?

A. -1.75

B. 0.0401

C. 0.9599

D. 1.75

Consumers spend an average of Php2,100 per week in cash without being aware of where it goes. Assume that the amount of cash spent without being aware of where it goes is normally distributed and that the standard deviation is Php500. Between what two values will the middle 95% of the amounts of cash spent fall?

A. Php1,100 & Php3,100

B. Php1,110 & Php3,090

C. Php1,120 & Php3,080

D. Php1,150 & Php3,050

This type of error in hypothesis testing is also known as a "false positive" result.

A. Type I

B. Type A

C. Type II

D. Type B