Which line has a slope of 5/8 and goes through the point 8, 2

he Nassau Bahamas Community College (NBC) claims that students who take statistics spend on average 19 hours a week working. The

Virty [35]

Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.

At the null hypothesis, it is tested if they spend on average 19 hours a week working, that is:

$H_0: \mu = 19$

At the alternative hypothesis, it is tested if they spend more than 19 hours a week working, that is:

$H_1: \mu > 19$

We have the standard deviation for the sample, hence, the t-distribution is used.

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

Searching the problem on the internet, it is found that the values of the parameters are:

$\overline{x} = 24.2, \mu = 19, s = 12.59, n = 25$

Hence, the value of the test statistic is:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{24.2 - 19}{\frac{12.59}{\sqrt{25}}}$

$t = 2.07$

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 25 - 1 = 24 df is of $t^{\ast} = 1.71$

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.

To learn more about the t-distribution, you can take a look at brainly.com/question/13873630

3 0

3 years ago

Which function will produce the same graph as the function shown below? y= (x+1)(x+3)

Valentin [98]

Answer:

$y = x {}^{2} + 4x + 3$

Step-by-step explanation:

All you do is distribute the first parentheses into the second.

4 0

4 years ago

A simple random sample of size n is drawn from a normally distributed population, and the mean of the sample is (x with a line o

prohojiy [21]

Answer:

Last option

${\overline {x}}} \± \frac{2.58*s}{\sqrt{n}$

Step-by-step explanation:

${\overline {x}}$

If we extract a sample of size n from a normal population and we want to estimate the population mean then the confidence interval for the mean will be:

${\overline {x}}} \± Z_{\alpha/ 2}*\frac{s}{\sqrt{n}$

Where

Where ${\overline {x}}$ is an estimator for the mean μ.

n is the sample size and s is its standard deviation.

$\alpha$ is the level of significance

$\alpha$ = 1-Confidence Level

$\alpha= 1-0.99$

$\alpha = 0.01$

Then $Z_{\frac{\alpha}{2}} = Z_{\frac{0.01}{2}} = Z_{0.005}=2.58$

Then the 99% confidence interval for the population mean is

${\overline {x}}} \± \frac{2.58*s}{\sqrt{n}$

3 0

3 years ago

Read 2 more answers

I need help, please I don't understand some help so I don't get this wrong

Airida [17]

Answer:

sorry po di ko po mahanap yung answer para sa question

8 0

3 years ago

Read 2 more answers

Find point P that divides segment AB into a 2:3 ratio. The point should be closer to A. A(-3,1) and B(3,5). p=

cestrela7 [59]

To find the point that divides the segment into a 2:3 partition, a formula can be used. The formula is:

[ x1 + (ratio)*(x2 - x1) , y1 + (ratio)*(y2 - y1) ]

Substituting the given values:

[ -3 + (2/5)*(3 + 3) , 1 + (2/5)*(5 - 1) ]
(-0.6 , 2.6)

Therefore, the point P that divides segment AB into a 2:3 ratio is found at (-0.6 , 2.6).

8 0

4 years ago