For a laboratory assignment, if the equipment is working, the density function of the observed outcome x is f(x) = 2(1 − x), 0

Find the point estimate of the proportion of people who wear hearing aids if, in a random sample of 493 people, 40 people had he

Anna71 [15]

Point estimate proportion is the average of lower and upper interval limit.

Point estimate proportion )p) = x/n
Where x = observations, n=sample size

Substituting;

p= 40/493 = 0.0811

8 0

2 years ago

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Tony is 4 years younger than his brother josh and two years older than his sister Cindy. Tony also has a twin brother, Evan. All

Sholpan [36]

Let Tony's age = x

He is 4 years younger than his brother Josh, so Josh's age would be x + 4

He is 2 years older than his sister, so her age would be x - 2

He has a twin, which would be the same age, so the twins age is also x

They all add together to equal 66, so you get:

x + x + x+4 + x-2 = 66

Simplify:

4x +2 = 66

Subtract 2 from both sides:

4x = 64

Divide both sides by 4:

x = 64/4 = 16

Tony is 16 years old.

8 0

2 years ago

Find f(x) if it is known that f(2a−1)=7a−13.

sattari [20]

Answer:

$f(x)=3.5x-9.5$

Step-by-step explanation:

Given:

The given function in terms of 'a' is given as:

$f(2a-1)=7a-13$

In order to determine $f(x)$ , we need to make $2a-1$ equal to 'x' and find the value of 'a'. Therefore,

$2a-1=x\\2a=x+1\\a=\frac{x+1}{2}$

Now, plug in the value of 'a' on both sides, we get:

$f(2\frac{x+1}{2}-1)=7\frac{(x+1)}{2}-13\\f(x+1-1)=3.5(x+1)-13\\f(x)=3.5x+3.5-13\\f(x)=3.5x-9.5$

Therefore, the expression for the function in terms of 'x' is:

$f(x)=3.5x-9.5$

6 0

2 years ago

At the Hardey Fitness Center, the management did a survey of their membership. The average age of the female members was 40 year

faust18 [17]

Answer:

5 / 8

Step-by-step explanation:

Given :

Average age of male = 25

Average age of female = 40

Average age of entire membership = 30

The ratio of female to male students :

Male students : Female students

25 : 40

5 : 8

5/8

8 0

2 years ago

A poll stated that 32% of those polled think the economy is getting worse. An economist wanted to check this claim so she survey

zysi [14]

Answer:

$z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

Step-by-step explanation:

Information given

n=750 represent the random sample taken

$\hat p=0.30$ estimated proportion of people who thought the economy is getting worse

$p_o=0.32$ is the value that we want to verify

$\alpha=0.05$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to check if the true proportion of interest is equal to 0.32 or not.:

Null hypothesis: $p=0.32$

Alternative hypothesis: $p \neq 0.32$

The statistic would be given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

8 0

2 years ago