24 True or False. Because the total area under the normal standard distribution

Question

24 True or False. Because the total area under the normal standard distribution is equal to 1, there is a correspondence between area and probability.

(a) True (b) False

25 True of False.  A Z-score must be negative whenever it is located in the left half of the normal distribution.

(a) True (b) False

26. The World Health Organization states that tobacco is the second leading cause of death in the world. Every year, a mean of 5 million people die of tobacco-related causes. Assume that the distribution is normal with µ = 5 (in millions) and = 2 (in millions). Find the probability that more than 4 million people will die of tobacco-related causes in a particular year.

(a) .3085 (b) .5000 (c) .6915 (d) -.5000 (e) .9772

27. Refer to question 26. What is the probability that the number of people who will die from tobacco-related deaths will fall between 3 million and 7 million in a particular year?

(a) .1587 (b) .8413 (c) 1.000 (d) -1.000 (e) .6826

28. The scores on a Statistics exam are normally distributed with a mean 75 with a standard deviation of 5. If nine students are randomly selected what is the probability that their mean score is greater than 68.

(a) .0808 (b) -.4000 (c) .9192 (d) .0001 (e) .9999

29. Refer to question 28. Suppose that students with the lowest 10% of scores are placed on academic probation, what is the cutoff score to avoid being placed on academic probation?

(a) > 81.4 (b) > 68.6 (c) -.28 (d) -1.28 (e) .8997

30. True or false. Areas or probabilities under the standard normal distribution are negative whenever it is located in the left half of the distribution.

(a) True (b) False  

Explanation / Answer

24) true

Because the total area under the normal standard distribution is equal to 1, there is a correspondence between area and probability.

25)true

A Z-score must be negative whenever it is located in the left half of the normal distribution.

26) by using standard normal table answer is 0.6915

27) by using normal table answer is 0.6826

30) because probability lies between 0 and 1. Probability never negative

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