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3 years ago

Please help with this

Mathematics

1 answer:

SOVA2 [1]3 years ago

7 0

Answer:

C. the mean is greater

Step-by-step explanation:

took the test

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Exercise 6.22 provides data on sleep deprivation rates of Californians and Oregonians. The proportion of California residents wh

kherson [118]

Answer:

a. The alternative hypothesis H₀: p'₁ ≠ p'₂ is accepted

b. Type I error

Step-by-step explanation:

Proportion of California residents who reported insufficient rest = 8.0%

Proportion of Oregon residents who reported insufficient rest = 8.8%

p'₁ = 0.08 * 11545 =923.6

p'₂ = 0.088 * 4691=412.81

σ₁ = $\sqrt{n*p_1*q_1} = \sqrt{n*p_1*(1-p_1)}$ = $\sqrt{11545*0.08*(1-0.08)}$ = 29.15

σ₂ = $\sqrt{n*p_2*q_2} = \sqrt{n*p_2*(1-p_2)}$ = $\sqrt{4691*0.088*(1-0.088)}$ = 19.40

Samples size of California residents n₁ = 11,545

Samples size of Oregon residents n₂ = 4,691

Hypothesis can be constructed thus

Let our null hypothesis be H ₀: p'₁ = p'₂

and alternative hypothesis H ₐ: p'₁ ≠ p'₂

Then we have

$z =\frac{(p'_1 -p'_2)-(\mu_1-\mu_2)}{\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2} } }$

The test statistics can be computed by

t₀ = $\sqrt{\frac{n_1n_2(n_1+n_2-2)}{n_1+n_2} } *\frac{p_1'-p_2'}{\sqrt{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2} }$ = 1104.83

c from tables is P(T ≤ c) = 1 - α where α = 5% and c = 1.65

since t₀ ≥ c then then the hypothesis is rejected which means the alternative hypothesis is rejected

b. Type I error, rejecting a true hypothesis

5 0

3 years ago

Which algebraic expression is equivalent to -2(4x -5y - 5x)

aleksley [76]

Hope this will help u...

4 0

3 years ago

Calculate annually compounded interest

Hunter-Best [27]

Answer:

$2,851.80

Step-by-step explanation:

Lets use the compound interest formula to solve:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 1.1% into a decimal:

1.1% -> $\frac{1.1}{100}$ -> 0.011

Next, plug the values into the equation:

$A=2,700(1+\frac{0.011}{1})^{1(5)}$

$A=2,851.80$

She will have $2,851.80 after 5 years.

3 0

3 years ago

A children's roller coaster is limited to riders whose height is at least 30 inches and at most 48 inches. Write two inequalitie

SVETLANKA909090 [29]

Answer:

h≤48 h≥30

Step-by-step explanation:

5 0

3 years ago

What are the zeros of the polynomial function f(x)=x^3-x^2-6x

aalyn [17]

Answer:

(

)

(

−

)

(

−

)

(

)

−

Explanation:

To find the zeros of the polynomial above first factor out the common factor then factor the remaining polynomial and set it equal to zero. Finally solve for x.

Step-by-step explanation:

6 0

3 years ago