Mathematics, 28.12.2019 03:31 sandram74691

In a sample of 413 male college students the average number of energy drinks consumed per month was 2.49 with a standard deviation of 4.87 and in a sample of 382 female college students the average was 1.22 with a standard deviation of 3.24. can you conclude that the mean number of energy drinks is greater for male students than for female students?

Answers: 2

Show answers

Answers

Answer from: angelaOR

$t=\frac{(2.49-1.22)-0}{\sqrt{\frac{4.87^2}{413}+\frac{1.22^2}{382}}}}=5.129$

$p_v =P(t_{793}5.129)=1.83x10^{-7}$

Comparing the p value with the significance level assumed is $\alpha=0.05$ we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and the mean for males is significantly higher than the mean for female.

Step-by-step explanation:

Data given and notation

$\bar X_{m}=2.49$ represent the mean for the sample male

$\bar X_{f}=1.22$ represent the mean for the sample female

$s_{m}=4.87$ represent the sample standard deviation for the males

$s_{f}=3.24$ represent the sample standard deviation for the females

$n_{m}=413$ sample size for the group male

$n_{f}=382$ sample size for the group female

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 mean for males students is higher than the mean for female students, the system of hypothesis would be:

Null hypothesis: $\mu_{m}-\mu_{f} \leq 0$

Alternative hypothesis: $\mu_{m} - \mu_{f} 0$

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

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

And the degrees of freedom are given by df=n_m +n_f -2=413+382-2=793

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.

Calculate the statistic

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

$t=\frac{(2.49-1.22)-0}{\sqrt{\frac{4.87^2}{413}+\frac{1.22^2}{382}}}}=5.129$

What is the p-value?

Since is a right tailed test the p value would be:

$p_v =P(t_{793}5.129)=1.83x10^{-7}$

Answer from: Quest

idk i would have to be there to under stand it

step-by-step explanation:

idk i would have to be there to under stand it

Answer from: Quest

wth is with the little mtn top and what are you talking about like fix your words and accually make sence with them and i like was in a completly different question like three times like it seems like your ilitteret

Another question on Mathematics

Mathematics, 21.06.2019 18:10

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

Answers: 1

Answer

Mathematics, 21.06.2019 19:00

1) what is the measure of the exterior angle, ∠uvw ? 2) in triangle man, what is the measure of the exterior angle at n (in degrees)?

Answers: 1

Answer

Mathematics, 21.06.2019 19:30

How long must $542 be invested at a rate of 7% to earn $303.52 in interest? in a easier way

Answers: 1

Answer

Mathematics, 21.06.2019 23:00

40 points. given: two congruent angles ∠c and ∠r are supplementary. prove: ∠r and ∠c are both right angles. it doesn't have to be exactly 10 rows.statements reasons1. 1. 2. 2. 3. 3. 4. 4. 5. 5. 6. 6. 7. 7. 8. 8. 9. 9. 10. 10.

Answers: 2

Answer

You know the right answer?

In a sample of 413 male college students the average number of energy drinks consumed per month was...

Questions