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Reptile [31]
1 year ago
11

Suppose that a random sample of size 100 is to be selected from a population with mean 50 and standard deviation 8. What is the

probability that a sample mean will be greater than 50.8? Round your answer to three decimal places.
Mathematics
1 answer:
maksim [4K]1 year ago
7 0

Answer:

0.159

Step-by-step explanation:

Given that:

Sample size (n) = 100

Population mean(pm) = 50

Standard deviation (s) = 8

Probability that Sample mean (m) will be greater Than 50.8

Using the relation :

(sample mean - population mean) / (standard deviation /sqrt(n))

P(m > 50.8)

Z = (50.8 - 50) / (8/ sqrt(100))

Z = 0.8 / (8/ 10)

Z = 0.8 / 0.8

Z = 1

P(Z > 1) = 0.15866 ( Z probability calculator)

Hence,

P(Z > 1) = 0.159 ( 3 decimal places)

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Answer:

The alternative hypothesis being tested in this example is that the tire life is of more than 60,000 miles, that is:

H_1: \mu > 60,000

Step-by-step explanation:

A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than 60,000 miles.

At the null hypothesis, we test if the tire life is of at most 60,000 miles, that is:

H_0: \mu \leq 60,000

At the alternative hypothesis, we test if the tire life is of more than 60,000 miles, that is:

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4 0
2 years ago
Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds
svetlana [45]

Answer:

Yes, but it is not linear. It is exponential :  f(x) = 5\cdot 2^{x-1}

Step-by-step explanation:

On the first day we have 5 bacteria.

On the second day we will have 5*2 = 10 bacteria.

On the third day we will have 10*2 = 5*2*2 = 5*2^2 = 20 bacteria.

On the fourth day we will have 20*2 = 5*2*2*2 = 5*2^3 = 40 bacteria.

We can see that

                                                f(x) = 5\cdot 2^{x-1},

where x is a number of days and f(x) gives us the number of bacteria.

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1 year ago
Use the converse of the side-splitter theorem to determine if T R is parallel to R S. Which statement is true? Line segment TU i
kramer

Answer:

IM SORRY              MI IM

Step-by-step explanation:

8 0
2 years ago
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Answer:

D

Step-by-step explanation:

If two lines are perpendicular, the products of their slopes will be -1. Therefore, we're looking for a line with slope of -1/2. Let's check each answer:

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The answer is D.

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Answer:

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Step-by-step explanation:

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