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stira [4]
3 years ago
15

The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experi- mental conditio

ns ("Experimental Measurement of the Stopping Performance of a Tractor-Semitrailer from Multiple Speeds," NHTSA, DOT HS 811 488, June 2011): 32.1 30.6 31.4 30.4 31.0 31.9 The cited report states that under these conditions, the maximum allowable stopping distance is 30. A normal probability plot validates the assumption that stopping distance is normally distributed.
a. Does the data suggest that true average stopping distance exceeds this maximum value? Test the appropriate hypotheses using ? 01
b. Determine the probability of a type II error when ?- .01, ? .65, and the actual value of is 31 . Repeat this for ?-32 (use either statistical software or Table A.17) of (b) 01 and ?
c. Repeat (b) using ? = .80 and compare to the results
d. What sample size would be necessary to have ? .10 when ? 31 and ? .65?
Mathematics
1 answer:
zzz [600]3 years ago
4 0

Answer:

see explaination

Step-by-step explanation:

Data : 32.1 , 30.6 , 31.4 , 30.4 , 31.0 , 31.9

Mean X-bar = 31.23

SD = 0.689

a)

Null Hypothesis : Xbar = mu

Alternate Hypothesis : Xbar > mu

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 30 ) /(0.689/sqrt(6))

= 4.372

P-value = ~0

Since P-vale < 0.01 , we will reject null hypothesis.

The data suggest that true average stopping ditance exceeds the maximum.

b)

i) SD = 0.65

mu = 31

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 31) /(0.65/sqrt(6))

= 0.867

P-value = 0.3859 Answer

ii) SD = 0.65

mu = 32

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 32) /(0.65/sqrt(6))

= -2.9

P-value = 0.0037 Answer

c)

i) SD = 0.8

mu = 31

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 31) /(0.8/sqrt(6))

= 0.704

P-value = 0.4814 Answer

ii) SD = 0.8

mu = 32

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 32) /(0.8/sqrt(6))

= -2.357

P-value = 0.0184 Answer

The probabilities obtained in part c are comparatively higher than that of part b.

d)

i) For alpha =0.01

z = (Xbar - mu) / (SD/sqrt(n))

=> -2.32 = (31.23 - 31) /(0.65/sqrt(n))

=> (0.65/sqrt(n)) = (31.23 - 31)/-2.32

=> sqrt(n) = (0.65*(-2.32)) / (31.23 - 31)

=> n = 43 Answer

ii) For beta =0.10

z = (Xbar - mu) / (SD/sqrt(n))

=> -1.28 = (31.23 - 31) /(0.65/sqrt(n))

=> (0.65/sqrt(n)) = (31.23 - 31)/-1.28

=> sqrt(n) = (0.65*(-1.28)) / (31.23 - 31)

=> n = 13 Answer

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Doune Punowing:
nataly862011 [7]

The length of pathway is 10 inches on map.

Step-by-step explanation:

Given,

Total distance = 350 miles

According to map,

1 inch = 35 miles

Let, x be the number of inches on map.

Therefore, using proportion;

Inch : mile :: inch : mile

1:35::x:350\\

Product of mean = Product of extreme

35*x=350*1\\35x=350\\

Dividing both sides by 35;

\frac{35x}{35}=\frac{350}{35}\\x=10

The length of pathway is 10 inches on map.

Keywords: Ratio, proportion

Learn more about proportions at:

  • brainly.com/question/5282516
  • brainly.com/question/5424148

#LearnwithBrainly

8 0
3 years ago
10 gallons of gasoline costs $30. The cost of gasoline per gallon is ________ and gallons of gasoline per dollar are ________.
Blababa [14]
2. if the cost of 10 gallons of gasoline is 30 dollars then divide 10 by 10 and divide 30 by 10 to get 1 and 3 so the cost of 1 gallon is $3

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4. if a cleaning service charges $1000 for 20 offices then divide 1000 by 20 and 20 by 20 to have an answer of $50 for every one office.

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7. so if you can print 100 pages for $2 then multiply 100 and 2 by two to get 200 pages for $4

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I hope i got the answers right and that i could help! :)
6 0
2 years ago
Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.
AURORKA [14]

Answer: D. x ≈ 2.5

Step-by-step explanation: I circled the intersection in green in this attachment I provided.

As you can see, it's near 2.5 which is correct.

I really hope this is correct. I answered this one with confidence. Good luck on your test btw.

6 0
3 years ago
laptop screen sizes are determines by the diagonal measurement rounded to the nearest whole number a laptop screen has a 9 in wi
Delvig [45]
------------------------------------------------------------------------------------------
Formula
------------------------------------------------------------------------------------------
a² + b² = c²

------------------------------------------------------------------------------------------
Find Diagonal
------------------------------------------------------------------------------------------
9² + 7² = c²
c² = 81 + 49
c² = 130
c = 11 in (Nearest whole number)

------------------------------------------------------------------------------------------
Answer: The diagonal measure 11 inches
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6 0
3 years ago
(x,-2) and (-9,1);slope: -3
amid [387]

Answer:

x= -10

Step-by-step explanation:

The equation is y2-y1 over x2 over x1 so

1-(-2) over -9-(x)=3

1+2=3 over -9-(x)

3/-9-x   times -9-x  = 3  times -9-x

3=3(-9-x)

3=-27-3x

3+27=-3x

30= -3x

-10= 3x

hope it helps man!!! :)

ps may i have brainliest so i can level up

6 0
3 years ago
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