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tatyana61 [14]
3 years ago
14

An automobile manufacturer claims that its jeep has a 53.9 miles/gallon (MPG) rating. An independent testing firm has been contr

acted to test the MPG for this jeep since it is believed that the jeep has an incorrect manufacturer's MPG rating. After testing 110 jeeps, they found a mean MPG of 53.7. Assume the standard deviation is known to be 1.8. A level of significance of 0.02 will be used.
Find the value of the test statistic.
Mathematics
1 answer:
Advocard [28]3 years ago
7 0

Answer:

Value of the test statistic, z_{test}  = - 1.17

Step-by-step explanation:

Null hypothesis, H_{0}: \mu = 53.9

Alternative hypothesis, H_{a} : \mu \neq 53.9

Sample mean, \bar{X} = 53.7

Sample size, n = 110

Standard deviation, \sigma = 1.8

Significance level, \alpha = 0.02

The value of the test statistics is given by the formula:

z_{test}  = \frac{\bar{X} - \mu}{\frac{\sigma}{\sqrt{n} } } \\z_{test}  = \frac{53.7 - 53.9}{\frac{1.8}{\sqrt{110} } } \\z_{test}  = - 1.17

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Just assume that you have a line and you added a point to that line, this point would divide your line into two segments.
If you add two points to a line, these two points would divide your line into three segments.
So the number of segments is always greater that the number of points by 1.
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3 years ago
Find the value of "c" by completing the square.<br><br>h²- 16h + c​
Sunny_sXe [5.5K]

Answer:

c = 64

Step-by-step explanation:

(a-b)² = a² - 2ab + b²

h²- 16h + c​

So, 2ab = 16h

2 * h * b = 16h    {as a =h}

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3 years ago
Need answer ASAP!!<br> Find the area of the shaded region.
qwelly [4]

Answer:

(5x² +7x -26) units²

Step-by-step explanation:

\boxed{area \: of \: rectangle = length \times breadth}

Area of shaded region

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Area of larger rectangle

= (3x -4)(2x +2)

= 3x(2x) +3x(2) -4(2x) -4(2) <em>(</em><em>Expand</em><em>)</em>

= 6x² +6x -8x -8

= 6x² -2x -8

Area of smaller rectangle

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Answer:

20%

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We need to convert 5/25 to a percentage

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so

20/100 = 20%

7 0
1 year ago
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