74 tens is = < or > than 700+4

The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of m

UkoKoshka [18]

Answer:

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

$X \sim N(14.7,3.7)$

Where $\mu=14.7$ and $\sigma=3.7$

Since the distribution of X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

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

And we have;

$\mu_{\bar X}= 14.70$

$\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59$

Step-by-step explanation:

Assuming this question: The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of 14.7 minutes and a standard deviation of 3.7 minutes. Let R be the mean delivery time for a random sample of 40 orders at this restaurant. Calculate the mean and standard deviation of $\bar X$ Round your answers to two decimal places.

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".

Solution to the problem

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

$X \sim N(14.7,3.7)$

Where $\mu=14.7$ and $\sigma=3.7$

Since the distribution of X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

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

And we have;

$\mu_{\bar X}= 14.70$

$\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59$

4 0

3 years ago

According to the histogram above, how many people weigh between 150 and

Inga [223]

Answer: C. 14

3 people weigh between 150-159

4 people wiegh between 160-169

7 people wiegh between 170-179

5 0

3 years ago

Make non proportional equation for the tables

TEA [102]

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4 0

3 years ago

What are the x-intercepts of a parabola with a vertex of (-1,-16) and a y-intercept of (0,-15)?

Svetlanka [38]

The vertex-form equation is
y = a(x+1)² -16
Putting in the y-intercept values, we have
-15 = a(0+1)² -16
1 = a . . . . . . . . . . . add 16

Then the x-intercepts can be found where y=0.
0 = (x+1)² -16
16 = (x+1)²
±4 = x+1
x = -1 ± 4 = {-5, 3}

8 0

3 years ago

Mr.rodrigues invests half his money in land, a tenth in stocks and a twentieth in bonds . He puts the remaining 35,000 in his sa

Natali5045456 [20]

Let's say <span>Mr.rodrigues's total amount of money is x. 1/2 of his money is in land, 1/10 of his money is in stocks, and 1/20 of his money is in bonds. The remaining is in his savings. Therefore, 1-1/2-1/20-/10 = fraction of money in savings account = 35/100 = 7/20. If 7/20 of his money =35000, then we can say that (7/20)x=35000, and 35000*20=7x, then getting (35000*20/7)=x, which equals (5000*20)=100,000 dollars.</span>

3 0

3 years ago