Answer all please number 2
1 answer:
Answer:
(a) 26.43%
(b) 189 seconds
Step-by-step explanation:
(a) <u>Data</u>
- mean: 3 minutes and 48 seconds = 3*60 + 48 = 228 s
- standard deviation, sd: 19 s
- value of interest, x: 4 minutes = 4*60 = 240 s
Z-score is calculated as follows:
z = (x - mean)/sd
z = (240 - 228)/19
z = 0.63
We want to find the next probability P(Z>0.63), which is equivalent to 1 - P(Z≤0.63)
From table, 1 - P(Z≤0.63) = 1 - 0.7357 = 0.2643 or 0.2643*100 = 26.43%
(b) We want to find z1 at which P(Z≤z1) = 0.2. From the second table, z1 is between -2.05 and -2.06.
z = (x - mean)/sd
-2.055 = (x - 228)/19
(-2.055)*19 + 228 = x
x = 189 s
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Options:
Who is right, and why?
a. Neither Kurt nor Maria is right, because 3,500 should be used instead of 3,600.
b. Kurt is right, because finding 1/5 of 3,600 is not a good way to approximate 21% of 3,585.
c. Maria is right, because finding 10% of 3,600 and multiplying the result by 2 is not a good way to approximate 21% of 3,585.
d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.
Answer:
d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.
Step-by-step explanation:
Given
Required [Missing from the question]
Who is correct and why?
First, we calculate the actual amount collected.
--- approximate
Next, determine the estimate (round 3585 to 3600 and 21% to 20%)
Next, calculate Kurt and Maria's estimates
<em>Hence, Kurt and Maria are correct because of option (d)</em>