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Daniel [21]
3 years ago
11

The answer and how you got it

Mathematics
1 answer:
vlabodo [156]3 years ago
8 0
No put 11.4 out side the box
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A country is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 30
kondaur [170]

Answer:

We conclude that speed is greater than 30 miles per hour.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ =  30 miles per hour

Sample mean, \bar{x} = 35 miles per hour

Sample size, n = 15

Alpha, α = 0.01

Sample standard deviation, s = 4.7 miles per hour

First, we design the null and the alternate hypothesis

H_{0}: \mu = 30\text{ miles per hour}\\H_A: \mu > 30\text{ miles per hour}

We use one-tailed(right) t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{35 - 30}{\frac{4.7}{\sqrt{15}} } = 4.120

Now, t_{critical} \text{ at 0.01 level of significance, 14 degree of freedom } = 2.624

Since,                  

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis and conclude that speed is greater than 30 miles per hour.

We calculate the p-value.

P-value = 0.00052

Since p value is lower than the significance level, we reject the null hypothesis and accept the alternate hypothesis. We conclude that speed is greater than 30 miles per hour.

6 0
3 years ago
What is the reciprocal of 5/8
V125BC [204]
The reciprocal of 5/8 is 8/5 all you have to do is flip it. 
so if you are looking for the reciprocal to 2, then it is 1/2 because of the fraction properties
7 0
3 years ago
Heather is going to graph y = -3x2 + 3. How is the parent graph transformed?
Yuki888 [10]
Any x² graph is a parabola. The negative in front is going to flip the parabola upside down to look like a camel hump. The 3 is going to make the graph narrower. The three at the end makes the y intercept 3. So the top of the graph will be shifted up to (0,3).
The answer would be A I believe
3 0
3 years ago
Read 2 more answers
Help quick or else trouble
sasho [114]

Answer:

1/21

Step-by-step explanation:

2/7 ÷ 6 =

2/7 x 1/6 = 2/42

Simplify by dividing the numerator and denominator by 2

1/21

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

7 0
3 years ago
Which quantity can be described as changing at a constant rate?
SSSSS [86.1K]

Answer:

321

Step-by-step explanation:

#/68&$#57:'#46&"¥<>`《\_£=%~《|

3 0
3 years ago
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