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3 years ago

Help plssss idk what to do!!!!!!!!!

Mathematics

1 answer:

Firdavs [7]3 years ago

4 0

9514 1404 393

Answer:

y = 1

Step-by-step explanation:

Recognize that 25 and 125 are powers of 5 and rewrite the equation in terms of powers of 5.

The applicable rules of exponents are ...

(a^b)^c = a^(bc)

(a^b)/(a^c) = a^(b-c)

(a^b)(a^c) = a^(b+c)

Your equation can be written as ...

$25^4\div5^{5y}=125^y\\\\(5^2)^4\div5^{5y}=(5^3)^y\\\\5^{8-5y}=5^{3y}\\\\8-5y=3y\qquad\text{equate exponents of the same base}$

Now this can be solved as an ordinary linear equation.

8 = 8y . . . . . . add 5y to both sides

1 = y . . . . . . . divide by 8

The solution is y = 1.

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This question is incomplete, the complete question is;

Assume that body masses of Goldfinch birds follow a normal distribution, with a standard deviation equal to 0.04 oz. An ornithologist who would like to make some inference about the average body mass of the Goldfinch birds. In particular, at a significance level of 0.01, she would like to test the null hypothesis H₀: Average body mass of the Goldfinch birds is 0.5 oz, against the alternative claim that average body size is less than 0.5 oz.

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Step-by-step explanation:

Let us consider testing a hypothesis about a population mean with population standard deviation that is known,

Let the average body mass of the Goldfinch bird be μ^μ

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H₀ : μ = 0.5 and

H₁ : μ < 0.5

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z = (x"-μ)/(σ/√n)

Now given that;

σ = 0.04 and n = 4

sample mean x" = ?

Now in order to be able to reject the null hypothesis, the p-value should be ≤ α = 0.01.

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For a p-value = 0.01 at the lower tail (which is the percentile for z),

the corresponding z will be -2.33

so we substitute our values into our formula

z = (x"-μ)/(σ/√n)

z(σ/√n) = (x"-μ)

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x"= 0.4534

therefore the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.

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Step-by-step explanation:

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