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2 years ago

Help me please! I’m begging

Mathematics

1 answer:

leva [86]2 years ago

6 0

Terms: 2, 8, 15. variables: x, y. coefficient:2,8

let me know if it’s correct!

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A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.

AVprozaik [17]

Answer:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

8 0

2 years ago

Evaluate if x =3 and y = -2: x squared + 2 y A. 5 B. 10 C. 2 D. 3

Luden [163]

Of you have 3 squared you get 9 then 2 times -2 is -4. then you add them 9=-4 which would be ...A: 5

5 0

3 years ago

Read 2 more answers

TiliK225 [7]

What I’m so confused

3 0

2 years ago

Read 2 more answers

A marketing firm is studying consumer preferences for winter fashions in four different months. From a population of women, 18-2

Sliva [168]

Answer:

B) The sample size was 100

Step-by-step explanation:

Number of sample size in January = 100

Number of sample size in March = 100

Number of sample size in June = 100

Number of sample size in September = 100

The average sample size for the study = (100 +100+100+100)/4

= 400/4

= 100

So the average sample size for the study is 100 women between 18 to 21 years.

4 0

2 years ago

Is each line parallel, perpendicular, or neither parallel or perpendicular to a line whose slops is -3/4?

Ymorist [56]

Answer:

Line M is neither.

Line N is perpendicular.

Line P is neither.

Line Q is parallel.

Step-by-step explanation:

Parallel lines are lines whose slope are the same. Line q is the exact same slope. It is parallel.

Perpendicular lines are lines whose slopes are the negative reciprocal of each other $\frac{a}{b}$ , $-\frac{b}{a}$ . Line n is 4/3 and is perpendicular.

Line m and p are neither.

7 0

3 years ago