3 is 23 degree
8 is 157 degree
Answer:
Part A
Part B
- B. Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.
Step-by-step explanation:
<u>Given data:</u>
- 299, 281, 285, 269, 280, 269, 286, 287
<h3>Part A</h3>
<u>Find the mean of the data above:</u>
- (299 + 281 + 285 + 269 + 280 + 269 + 286 + 287)/8 = 282
<u>Find absolute deviations, an absolute value of the difference of data and the mean:</u>
- 299 - 282 = 17 ⇒ 17
- 281 - 282 = -1 ⇒ 1
- 285 - 282 = 3 ⇒ 3
- 269 - 282 = -13 ⇒ 13
- 280 - 282 = 2 ⇒ 2
- 269 - 282 = -13 ⇒ 13
- 286 - 282 = 4 ⇒ 4
- 287 - 282 = 5 ⇒ 5
<u>Find mean absolute deviation:</u>
- (17 + 1 + 3 + 13 + 2 + 13 + 4 + 5)/8 = 7.25
Correct choice is C
<h3>Part B</h3>
Less mean absolute deviation is the sign of more consistent data.
Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25
Correct choice is B.
Answer:
128
Step-by-step explanation:
If you multiply you get it.
Y = .7x + 29
x = miles driven and, y = total cost of renting the truck
Answer:
84.13% probability a particular tire of this brand will last longer than 57,100 miles
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

What is the probability a particular tire of this brand will last longer than 57,100 miles
This is 1 subtracted by the pvalue of Z when X = 57100. So



has a pvalue of 0.1587
1 - 0.1587 = 0.8413
84.13% probability a particular tire of this brand will last longer than 57,100 miles