In the graphic below LAE = KEA by:

Based on historical data, your manager believes that 26% of the company's orders come from first-time customers. A random sample

scoundrel [369]

Answer:

$\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})$

And we can use the z score formula given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

And if we find the parameters we got:

$\mu_p = 0.26$

$\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349$

And we can find the z score for the value of 0.4 and we got:

$z = \frac{0.4-0.26}{0.0349}= 4.0119$

And we can find this probability:

$P(z>4.0119) = 1-P(z$

And if we use the normal standard table or excel we got:

$P(z>4.0119) = 1-P(z$

Step-by-step explanation:

For this case we have the following info given:

$p = 0.26$ represent the proportion of the company's orders come from first-time customers

$n=158$ represent the sample size

And we want to find the following probability:

$p(\hat p >0.4)$

And we can use the normal approximation since we have the following two conditions:

1) np = 158*0.26 = 41.08>10

2) n(1-p) = 158*(1-0.26) = 116.92>10

And for this case the distribution for the sample proportion is given by:

$\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})$

And we can use the z score formula given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

And if we find the parameters we got:

$\mu_p = 0.26$

$\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349$

And we can find the z score for the value of 0.4 and we got:

$z = \frac{0.4-0.26}{0.0349}= 4.0119$

And we can find this probability:

$P(z>4.0119) = 1-P(z$

And if we use the normal standard table or excel we got:

$P(z>4.0119) = 1-P(z$

8 0

2 years ago

Help help math math math

goblinko [34]

It is 11 33/40. 11 being the whole number and 33/40 the fraction

6 0

2 years ago

Wren’s first display box is 6 inches long, 9 inches wide, and 4 inches high. What is the volume of the display box? Explain your

Black_prince [1.1K]

Answer:

$\text{Volume of display box}=216\text{ in}^3$

Step-by-step explanation:

We have been given that Wren’s first display box is 6 inches long, 9 inches wide, and 4 inches high. We are asked to find the volume of display box.

We know that the box is in form of cuboid, so its volume would be length times width times height.

$\text{Volume of display box}=6\text{ in}\times 9\text{ in}\times 4\text{ in}$

$\text{Volume of display box}=216\text{ in}^3$

Therefore, the volume of the display box is 216 cubic inches.

7 0

2 years ago

U.S. soybeans average 39% protein. A bushel of soybeans weighs 60 lbs. How many pounds of protein are in a bushel? A 120-acre fi

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

7 0

2 years ago

Quickly help please!!! Math!!!

Nezavi [6.7K]

Answer: f(x) = -5/2x+4

Step-by-step explanation: The function crosses over the y-axis at 4 and decreases at a rate of -5/2.

8 0

3 years ago