Statement 1: If a number is positive, then it is greater than zero.

. You are interested in the amount of time teenagers spend weekly working at part-time jobs. A random sample of 15 teenagers was

agasfer [191]

Answer:

$t=\frac{147.3-120}{\frac{50}{\sqrt{15}}}=2.115$

Now we can calculate the degrees of freedom

$df=n-1=15-1=14$

If we find a critical value in the t distribution with 14 degrees of freedom who accumulates 0.05 of the area in the right we got $t_{critc}= 1.761$

Since the calculated value is higher than the critical value we have enough evidence to conclude that the true mean is significantly higher than 120 minutes for the average time of part time jobs

Step-by-step explanation:

Information given

$\bar X=147.3$ represent the sample mean for the amount of time spent at part time jobs

$s=50$ represent the sample standard deviation

$n=15$ sample size

$\mu_o =120$ represent the value to check

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value for the test

System of hypothesis

We want to analyze if the true mean for the amount of time spent at part time jobs is higher than 120, the system of hypothesis would be:

Null hypothesis: $\mu \leq 120$

Alternative hypothesis: $\mu > 120$

Since we don't know the population deviation the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{147.3-120}{\frac{50}{\sqrt{15}}}=2.115$

Now we can calculate the degrees of freedom

$df=n-1=15-1=14$

If we find a critical value in the t distribution with 14 degrees of freedom who accumulates 0.05 of the area in the right we got $t_{critc}= 1.761$

Since the calculated value is higher than the critical value we have enough evidence to conclude that the true mean is significantly higher than 120 minutes for the average time of part time jobs

4 0

3 years ago

I need this answered please

Illusion [34]

A is congruent to X
B is congruent to Z
C is congruent to Y

AB is congruent to XZ
AC is congruent to XY
BC is congruent to ZY

ABC is congruent to XZY

3 0

2 years ago

2/5 + 1/<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B5%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B5%7D%20" id="TexFormula1"

Ad libitum [116K]

3/5 is the answer this is easy

8 0

3 years ago

Which of the following must be given to prove that ΔABC is similar to ΔDBA?

BARSIC [14]

This answer is a (A) segment AD is an altitude at angle ABC

6 0

4 years ago