True or False?<br><br> Any set of ordered pairs is called a relation.

A researcher is concerned about the impact of students working while they are enrolled in classes, and she likes to know if stud

8_murik_8 [283]

Answer:

(a) Point estimate = 7.10

(b) The critical value is 1.960

(c) Margin of error = 0.800

(d) Confidence Interval = (6.3, 7.9)

(e) We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

Step-by-step explanation:

Given

$\bar x = 7.10$ -- sample mean

$\sigma=5$ --- sample standard deviation

$n = 150$ --- samples

Solving (a): The point estimate

The sample mean can be used as the point estimate.

Hence, the point estimate is 7.10

Solving (b): The critical value

We have:

$CI = 90\%$ --- the confidence interval

Calculate the $\alpha$ level

$\alpha = 1 - CI$

$\alpha = 1 - 90\%$

$\alpha = 1 - 0.90$

$\alpha = 0.10$

Divide by 2

$\frac{\alpha}{2} = 0.10/2$

$\frac{\alpha}{2} = 0.05$

Subtract from 1

$1 - \frac{\alpha}{2} = 1 - 0.05$

$1 - \frac{\alpha}{2} = 0.95$

From the z table. the critical value for $1 - \frac{\alpha}{2} = 0.95$ is:

$z = 1.960$

Solving (c): Margin of error

This is calculated as:

$E = z * \frac{\sigma}{\sqrt n}$

$E = 1.960 * \frac{5}{\sqrt {150}}$

$E = 1.960 * \frac{5}{12.25}$

$E = \frac{1.960 *5}{12.25}$

$E = \frac{9.80}{12.25}$

$E = 0.800$

Solving (d): The confidence interval

This is calculated as:

$CI = (\bar x - E, \bar x + E)$

$CI = (7.10 - 0.800, 7.10 + 0.800)$

$CI = (6.3, 7.9)$

Solving (d): The conclusion

We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

6 0

2 years ago

Using the formula r=d/t where d is the distance in miles, r is the rate and t is the time in hours at which rate must you travel

valentina_108 [34]

$r = \frac{337.5}{4.5} \\ r = 75$
the answer is c-75mph

6 0

3 years ago

Read 2 more answers

Can someone plz help with this asap

Lera25 [3.4K]

Answer:

Horizontal lines are parallel to the x-axis

The answer is the second option

6 0

3 years ago

A researcher finds a significant correlation between the amount of time spent watching television and blood pressure for a sampl

kobusy [5.1K]

Answer:

statement is false

Step-by-step explanation:

given data

men age = 4 year old

relation between = watching television and blood pressure

solution

we can say that this statement is wrong

because here causality it have never implied by correlation between these two watching television time period and the blood pressure as that by watching more time television that not causes high blood pressure

so that statement is false

8 0

3 years ago

Help please if anybody knows this help!!

slega [8]

Answer:

A and D

Step-by-step explanation:

A rounds to 0.2

D rounds to 5.26

8 0

3 years ago

True or False? Any set of ordered pairs is called a relation.