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zlopas [31]
2 years ago
11

CAN SOMEONE PLEASE HELP MEEEEEEEEEEE

Mathematics
1 answer:
dezoksy [38]2 years ago
3 0

Answer:

80

Step-by-step explanation:

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A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life
alisha [4.7K]

Answer:

a)

The null hypothesis is H_0: \mu \leq 10

The alternative hypothesis is H_1: \mu > 10

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

H_0: \mu \leq 10

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

H_1: \mu > 10

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

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 and n is the size of the sample.

10 is tested at the null hypothesis:

This means that \mu = 10

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that n = 45, X = 10.5, s = 1.8

Then

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

t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}

t = 1.86

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

5 0
2 years ago
Whats the product of (3-2i) and (7+6i)?​
Alona [7]

Answer: the product is = 33+4i

Step-by-step explanation:

21+4i-12i^2

21+4i-12(-1) i^2=-1

21+4i+12

your answer would be 33+4i .

6 0
3 years ago
8. Rename the quadratic function f(x) = -2(x + 4)2 - 5 in standard form. A. f(x) = -2x2 + 16x - 37 G. f(x) = -2x2 – 16x + 27 B.
NNADVOKAT [17]

Answer:

<em>see</em><em> </em><em>explanation</em>

Step-by-step explanation:

f(x)= -2(x²+8x+16)-5

-2 {x}^{2}  - 16x - 32 - 5 \\  f(x)= - 2 {x}^{2}  - 16x - 37

7 0
3 years ago
Mrs.Douglas wanted to give each of her students 3 fancy pencils. She has 20 students. If fancy pencils come in packs of 12, how
Colt1911 [192]
1 pack of 12 will give 4 students their pencils. 20/4 = 5
3 0
2 years ago
Read 2 more answers
What is the solution of the equation 4p/6+27
anyanavicka [17]
The answer is 36 I'm pretty sure
7 0
3 years ago
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