he problem 17) The annual precipitation amounts in a certain mountain range are
ID: 2907225 • Letter: H
Question
he problem 17) The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 73 36 randomly picked yei8 inhe rd deviation of 12 inches. What is the probability that the mean annual precipitation during A) 0.0808 B) 0.4192 C) 0.9192 D) 0.5808 ess the confidence interval using the indicated format. 18) After finding the sample proportion p, and the form of p E. A) 0.52 :0.12 B) 0.4:0.12 C) 0.4:0.24 D) 0.52 : 0.24 ethe given data to find the minimum sample size required to estimate the population proportion 19) Margi n of error: 0.02; confidence level: 95, from a prior study, p is estimated by the decimal equivalent of 55% A) 2377 B) 5282 C) 2139 D) 4103 20) Margin of error: 0.09; confidence level: 99%: p and q unknown A) 138 B) 205 C) 224 D) 239Explanation / Answer
Ans:
17)
z=(75.8-73)/(12/sqrt(36))
z=1.4
P(z<1.4)=0.9192
Option C is correct(0.9192)
18)
Point estimate=(0.64+0.4)/2=0.52
Margin of error=(0.64-0.4)/2=0.12
Confidence interval
=0.52+/-0.12
Option A is correct.
19)
Sample size required,n=1.96^2*0.55*(1-0.55)/0.02^2
n=2377
Option A is correct.
20)When prior estimateof p is not given ,we consider p=0.5
Sample size required,n=2.58^2*0.5*(1-0.5)/0.09^2
n=205
Option B is correct.
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