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DerKrebs [107]
4 years ago
10

What is the value of the

Mathematics
1 answer:
mafiozo [28]4 years ago
7 0

Answer: i to the 10th power

Step-by-step explanation:

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Suppose the weights of the Boxers at this club are Normally distributed with a mean of 166 pounds and a standard deviation of 5.
lesya [120]

Answer:

0.1994 is the required probability.      

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 166 pounds

Standard Deviation, σ = 5.3 pounds

Sample size, n = 20

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{5.3}{\sqrt{20}} = 1.1851

P(sample of 20 boxers is more than 167 pounds)

P( x > 167) = P( z > \displaystyle\frac{167 - 166}{1.1851}) = P(z > 0.8438)

= 1 - P(z \leq 0.8438)

Calculation the value from standard normal z table, we have,  

P(x > 167) = 1 - 0.8006= 0.1994 = 19.94\%

0.1994 is the probability that the mean weight of a random sample of 20 boxers is more than 167 pounds

3 0
3 years ago
A computer manufacturer estimates that its cheapest screens will last less than 2.8 years. A random sample of 61 of these screen
masya89 [10]

Answer:

The test is left - tailed

We cannot reject the organization's claim ( its cheapest screens will truly last less than 2.8 years)

Step-by-step explanation:

Sample size, n = 61

Sample mean, \bar{X} = 2.4

Standard deviation, \sigma = 0.88

Significance level,  α=0.02

Null hypothesis, H_{o} : \mu = 2.8

Alternative hypothesis, H_{a} : \mu < 2.8

It is clearly seen from the alternative hypothesis, that it is a left tailed test. It is not tailed towards the two directions.

Calculate the test statistic:

Z = \frac{\bar{X} - \mu}{\sigma/\sqrt{n} } \\Z = \frac{2.4 - 2.8}{0.88/\sqrt{61} }\\Z = - 3.55

Calculate the P-value:

P(Z < -3.35) = 0.0002

Since (p-value = 0.0002) < (α=0.02), the null hypothesis is rejected.

It can therefore be concluded that the mean of the cheapest screen is less than 2.8 years. i.e. the cheapest screen will last less than 2.8 years

6 0
3 years ago
Read 2 more answers
What is -2/5<br> Write your answer as a fraction HURRY PLS
Yuki888 [10]
-40 over 100, is the answer
4 0
4 years ago
How do I know when to divide multiply add or subtract in a math word problem
deff fn [24]
It will says divided by or took away for subtracting and put in for adding
8 0
4 years ago
If there are 250 fish in the lake and 50 more are added each year write the linear equation
Anastasy [175]

Answer:

250x+50y is answer

Step-by-step explanation:

answer !!!!!!!!

8 0
3 years ago
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