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2 years ago

6

The owner of a local restaurant surveyed her staff on their preference of uniform color. The results are displayed in the table

below. Which pair of samples is most representative of the preference of all the staff?

1 answer:

gayaneshka [121]2 years ago

8 0

Answer:

my bro you gotta put the table down

Step-by-step explanation:

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The number 1/5 is which type of number?

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the answer is

d. rational

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Peter tracks the goals he scores in 9 soccer games. In two games Peter scored 2 goals each, in one game he scored 0 goals, in tw

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The average number of goals per game Peter scores, rounded to one decimal place is 1.6

<u><em>Explanation</em></u>

In first two games Peter scored 2 goals each. So, total score in two games = (2×2)= 4

In one game he scored 0 goal and in next two games he scored 3 goals each, so the total is (3×2)= 6

In the last four games he scored 1 goal in each, so the total is (1×4)= 4

So, the total score in all $9$ games $=4+0+6+4=14$

Thus, the average number of goals $= \frac{14}{9}= 1.5555....$

So, the average number of goals per game Peter scores, rounded to one decimal place is 1.6

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Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding tw

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At a pizzeria one day, 15% of the pizzas sold were topped with mushrooms.If 12 pizzas were topped with mushrooms, what was the t

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15% = 12 out of 100%

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3 years ago

A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. The number of subjects needed to estima

Ludmilka [50]

Answer:

$n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65$

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

ME represent the margin of error

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

2) Solution to the problem

Since the new Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Assuming that the deviation is known we can express the margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =\pm 3 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

Replacing into formula (b) we got:

$n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65$

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

8 0

3 years ago