100000000000 to the 10th power

Arandom sample of n1 =12 students majoring in accounting in a college of business has a mean grade-point average of 2.70 (where

antiseptic1488 [7]

Answer:

We accept the null hypothesis that the mean gpa's are equal, with the 5 percent level of significance.

Step-by-step explanation:

We have these following hypothesis:

Null

Equal means

So

$\mu_{1} = \mu_{2}$

Alternative

Different means

So

$\mu_{1} \neq \mu_{2}$

Our test statistic is:

$\frac{\overline{Y_{1}} - \overline{Y_{2}}}{\sqrt{\frac{s_{1}^{2}}{N_{1}} + \frac{s_{2}^{2}}{N_{2}}}}$

In which $\overline{Y_{1}}, \overline{Y_{2}}$ are the sample means, $N_{1}, N_{2}$ are the sample sizes and $s_{1}, s_{2}$ are the standard deviations of the sample.

In this problem, we have that:

$\overline{Y_{1}} = 2.7, s_{1} = 0.4, N_{1} = 12, \overline{Y_{2}} = 2.9, s_{2} = 0.3, N_{2} = 10$

So

$T = \frac{2.7 - 2.9}{\sqrt{\frac{0.4}^{2}{12} + \frac{0.3}^{2}{10}}} = -1.3383$

What to do with the null hypothesis?

We will reject the null hypothesis, that is, that the means are equal, with a significante level of $\alpha$ if

$|T| > t_{1-\frac{\alpha}{2},v}$

In which v is the number of degrees of freedom, given by

$v = \frac{(\frac{s_{1}^{2}}{N_{1}} + \frac{s_{2}^{2}}{N_{2}})^{2}}{\frac{\frac{s_{1}^{2}}{N_{1}}}{N_{1}-1} + \frac{\frac{s_{2}^{2}}{N_{2}}}{N_{2} - 1}}$

Applying the formula in this problem, we have that:

$v = 20$

So, applying t at the t-table at a level of 0.975, with 20 degrees of freedom, we find that

$t = 2.086$

We have that

$|T| = 1.3383$

Which is lesser than t.

So we accept the null hypothesis that the mean gpa's are equal, with the 5 percent level of significance.

7 0

3 years ago

Jisoo drank 3/8 of a quart of chocolate milk, and his friend Andrew drank 2/7 of the same quart. How much did they drink altoget

elixir [45]

Answer:

37/56

Step-by-step explanation:

If Jisoo drank 3/8 of a quart of chocolate milk, and his friend Andrew drank 2/7 of the same quart, the amount they drank altogether will be the sum of the amount they drank individually

Total = 3/8 + 2/7

Find the LCM

Total = 3(7)+8(2)/56

Total = (21+16)/56

Total = 37/56

Hence they drank 37/56 of the quartz altogether

8 0

3 years ago

How do I solve this? I need to know ASAP

Nataly [62]

Answer:

I dont know this

It look really really hard I am so so sorry !!! Hope you did good!!!

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

On Monday, Mr. Lieberenz ran 2.1 miles in 36 minutes. On Tuesday, he ran 5.1 miles in 22 minutes. His rates on Monday and Tuesda

Bogdan [553]

Answer:

Historically, surnames evolved as a way to sort people into groups - by occupation, place of origin, clan affiliation, patronage, parentage, adoption, and even physical characteristics (like red hair). Many of the modern surnames in the dictionary can be traced back to Britain and Ireland.

Similar surnames: Leverenz, Lewerenz, Lieberg, Lieber, Lieberman, Liebert, Liebermann

Step-by-step explanation:

5 0

3 years ago

WILL GIVE BRAINLIEST! Determine the equation for a parabola with a vertex of (-1, -32) and a y intercept of -30

lapo4ka [179]

Answer: The equation for this parabola is 2(x+1)^2−32

Hope this Helps!

7 0

3 years ago