The answer for both questions are adult humans
Answer:
90 Confidence Interval for the proportion = [ 0.216,0.334]
Step-by-step explanation:
The confidence interval for proportion formula =
p ± z × √p(1 - p)/n
Where p = x/n
x = 42
n = number of samples = 153
p = 42/153
p = 0.2745098039 ≈ 0.275
z = z score of 90% confidence interval = 1.645
Confidence interval =
0.275 ± 1.645 × √0.275 - ( 1 - 0.275)/153
= 0.275 ± 1.645 × √0.0013031046
= 0.275 ± 0.0593820985
Confidence Interval
= 0.275 - 0.0593820985
= 0.2156179015
≈ 0.216
= 0.275 + 0.0593820985
= 0.3343820985
≈ 0.334
90 Confidence Interval for the proportion = [ 0.216,0.334]
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To answer this item, we let the original speed of the car be x. The time it take to travel a certain distance is calculated by dividing the distance by the speed. Using the condition given above,
189 / (x + 12) = 189/x - 1
The value of x from the equation is 42 mph. Thus, the original speed of the car is 42 mph.