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Trava [24]
3 years ago
14

1) someone help easy math question

Mathematics
1 answer:
Aloiza [94]3 years ago
5 0
Answer is -9 it’s easy
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Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that th
11111nata11111 [884]

Answer:

The null hypothesis is H_0: \mu = 14

The alternate hypothesis is H_a: \mu < 14

The test statistic is t = -1.95.

The p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the  highlighters wrote for less than 14 continuous hours.

Step-by-step explanation:

Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that their highlighters could write continuously for 14 hours.

At the null hypothesis, we test if the mean is 14 hours, that is:

H_0: \mu = 14

At the alternate hypothesis, we test if the mean is less than 14 hours, that is:

H_a: \mu < 14

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

14 is tested at the null hypothesis:

This means that \mu = 14

X = 13.6 hours, s = 1.3 hours. Sample of 40:

In addition to the values of X and s given, we have that n = 40

Test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{13.6 - 14}{\frac{1.3}{\sqrt{40}}}

t = -1.95

The test statistic is t = -1.95.

P-value:

The p-value of the test is the probability of finding a sample mean lower than 13.6, which is a left tailed test, with t = -1.95 and 40 - 1 = 39 degrees of freedom.

Using a calculator, the p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the  highlighters wrote for less than 14 continuous hours.

5 0
3 years ago
The area of the postcard is 24 square inches. What is the width b of the message (in inches)?
MAXImum [283]
Area of rectangular post card = length x width
For the given post card: 
length = 4 in
width = (3+b) in
area = 24 in^2

So, substituting in the equation of the area:
24 = 4 x (3+b)
24 = 12 + 4b
24 - 12 = 4b
12 = 4b
b = 3 in

Therefore:
the length of the postcard = 4 inch
the width of the postcard = b+3 = 3 + 3 = 6 inch
4 0
3 years ago
Janice makes a box in the shape of the rectangular prism. Show your work and explain how you solved using first, next &amp; last
MA_775_DIABLO [31]

Answer:

480

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP ME WITH THIS PROBLEM:
Andru [333]

Answer:

(4,3)

Step-by-step explanation:

The solution of two lines is where they intersect

3 0
2 years ago
Given triangle ABC with sides a,b, and c
Gnesinka [82]

In any triangle, the longest side is the one that is opposite the largest angle.

Therefore, the longest side is "a".

7 0
3 years ago
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