to students have less variation than ages of females in the mple size calculatio
ID: 3066236 • Letter: T
Question
to students have less variation than ages of females in the mple size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? The ages of a group of 131 randomly selected adult females have a standard deviation of 17.5 years. Assume that the ages of female statistics confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less Assume that we want 99% variation than ages of females in the general population? The required sample size is (Type a whole number.) Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? O A. No, because statistics students are typically older than people in the general population 0 B. Yes, because statistics students are typically older than people in the general poolation O c. Yes, because statistics students are typically younger than people in the general population. O D. No, because there is no age difference between the population of statistics students and the general population Click to select your answer(s) Save for Later 1:42 O·.Explanation / Answer
Step1: Find z a/2 by dividing the confidence interval by two, and looking that area up in the z-table:
.99/2 = 0.495. The closest z-score for 0.495 is 2.58.
Step 2: Multiply step 1 by the standard deviation.
2.58 * 17.5 = 45.15
Step 3: Divide Step 2 by the margin of error. Our margin of error (from the question), is 0.5.
45.15/0.5 = 90.3
Step 4: Square Step 3.
90.3* 90.3= 8154.09 = 8154
Required sample size is 8154.
2) Option D.
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