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solong [7]
3 years ago
8

(CO 5) An advocacy group claims that the mean braking distance of a certain type of tire is 75 feet when the car is going 40 mil

es per hour. In a test of 45 of these tires, the braking distance has a mean of 78 and a population standard deviation of 5.9 feet. Find the standardized test statistic and the corresponding p-value. Group of answer choices
Mathematics
1 answer:
KIM [24]3 years ago
4 0

Answer:

z=0.5084

p=0.2809

Step-by-step explanation:

Since number of tires tested for breaking distance is enough (>30), the standardized test statistic is calculated by the formula:

z=\frac{X-M}{\frac{s}{\sqrt{N} }} } where

  • X is the mean breaking distance in the sample (78)
  • M is the mean breaking distance  (75)
  • s is the standard deviation (5.9)
  • N is the sample size

Putting the numbers in the formula:

z=\frac{78-75}{\frac{5.9}{\sqrt{N} }} } =0.5084 and corresponding p value is:

p=0.28

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Answer:

C) 3/8

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Step-by-step explanation:

Think of an absolute value as just ignoring any negative signs.

8 0
3 years ago
Read 2 more answers
A basketball player makes 70% of the free throws he shoots. Suppose that he tries 15 free throws.
Volgvan

Answer:

a.) .95

b.) The expected number of baskets is 10.50.

c.) 1.7748

Step-by-step explanation:

a.) This is a binomial distribution as there are two possibilities: makes a free throw or doesn't. This means that you can use the binomial function on a calculator to figure out the answer. Use the binomial CDF function on a calculator and the number of trials=15, probability of success=.7, lower bound=0, upper bound=7. Once you have evaluated the answer, .0500, it will need to be subtracted from1, as you want everything not included in this section. The answer to part a is thus 1-.0500=.95.

b.) The expected value is calculated by taking the total number of shots and multiplying it by the probability of making the shot: 15×.7=10.5 shots.

c.) The standard deviation of a binomial distribution can be calculated by the formula \sqrt{(sample size)(probability)(1-probability)}. Plugging in the numbers you get \sqrt{(15)(.7)(.3)}=1.7748.

8 0
2 years ago
A blogger has 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since t
mr Goodwill [35]

Answer:

Since a blogger has 400 subscribers to her blog in January, and the number of subscribers has grown by a factor of 1.5 every month since the, to write a sequence to represent the number of subscribers in the 3 months that followed, the following reasoning has to be made:

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February: 400 x 1.5 = 600 subscribers

March: 600 x 1.5 = 900 subscribers

April: 900 x 1.5 = 1,350 subscribers

8 0
3 years ago
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Ne4ueva [31]

Answer:

0

Step-by-step explanation:

Plug 2 points into the equation y2-y1/x2-x1. In this case, I picked (0,-1) and (1,-1). This will make the equation -1--1/1-0. Simplify this to get 0/1 which is equal to 0. Therefore, the slope is 0.

If this has helped you please mark as brainliest

5 0
3 years ago
Angles θ and Φ are supplementary, and theta equals 3pi/7 find the measure of theta
Ivenika [448]
Hello : 
Φ + <span>3π/7 = </span>π 
Φ =  π - 3π/7
Φ =4π/7 
7 0
3 years ago
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