CAN SOMEONE HELP .. WITH THE RIGHT ASWER PLZZ...

A random sample of 49 measurements from one population had a sample mean of 15, with sample standard deviation 5. An independent

kotykmax [81]

Answer:

Comparing the p value with the significance level $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and the difference between the two groups is significantly different.

Step-by-step explanation:

$\bar X_{1}=15$ represent the mean for sample 1

$\bar X_{2}=18$ represent the mean for sample 2

$s_{1}=5$ represent the sample standard deviation for 1

$s_{f}=6$ represent the sample standard deviation for 2

$n_{1}=49$ sample size for the group 2

$n_{2}=64$ sample size for the group 2

$\alpha=0.01$ Significance level provided

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2}=0$

Alternative hypothesis: $\mu_{1} - \mu_{2}\neq 0$

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=49+64-2=111$

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:

$t=\frac{(15-18)-0}{\sqrt{\frac{5^2}{49}+\frac{6^2}{64}}}}=-2.897$

P value

Since is a bilateral test the p value would be:

$p_v =2*P(t_{111}$

Comparing the p value with the significance level $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and the difference between the two groups is significantly different.

7 0

2 years ago

Y=12x-4 steps and answers:

nexus9112 [7]

Add 4 to both sides. Y+4=12x divide both sides by 12 y+4 over 12 which = x switch sides x= y+4 over 12 that’s the answer and I’m 100% sure

8 0

2 years ago

It took Ruby 23 minutes to make meatballs and 29 minutes to make tomato sauce. How much time did it take Ruby to make meatballs

____ [38]

Answer:

52 minutes unless she was multi-tasking then it took her 29 mins to do all

Step-by-step explanation:

52 minutes

6 0

2 years ago

Read 2 more answers

Solve the linear system of equations using the linear combination method. {8a−4b=205a−8b=62

11Alexandr11 [23.1K]

Sorry I am a little late...

a = -2

b = -9

Here is how to solve the problem.

First thing I did was multiply the first equation by -2 so that we can eliminate the the b. After you multiply it by -2, your new equation is -16a + 8b = -40.

You leave the second equation alone and all you do is combine like terms. So -16a+5a is -11. And you eliminate the b. Then you're going to do -40+62 which is 22. So it's -11a=22 and then you have to solve for a. What I did was I multiplied the whole thing by minus to turn the a positive. So then it's 11a=-22. Pretty easy, the final step is to simplify. -22/11 is -2. ;D

So there you have your first answer.

a = -2

Now we're going to use the first answer to help us find b.

For the second equation, all you're going to do is plug in that a.

5 (-2)-8b=62

-10 - 8b = 62

Now we move the -10 to the other side...

-8b = 62 + 10

-8b = 72

Multiply the whole thing by negative once again to turn the b positive.

Now we have 8b = -72

The final step is to simplify. -72/11 = -9

b = -9

Hope this makes sense! Also I had the same question on my test and I got it right. :)

6 0

3 years ago

What is the derivative of Y =x√(2x + 1)/e^xsin^3(x).?

blagie [28]

$-\dfrac{\mathrm{e}^{-x}\left(\left(2x^2-2x-1\right)\sin\left(x\right)+\left(6x^2+3x\right)\cos\left(x\right)\right)}{\sqrt{2x+1}\sin^4\left(x\right)}.$

3 0

2 years ago