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nlexa [21]
3 years ago
7

List all the multiples of 4 that ar

Mathematics
1 answer:
mars1129 [50]3 years ago
3 0

a.30 and 50 - 10

b. 4 and 20 - 4

c. 60 and 400 - 1200

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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
3 years ago
Simplify the expression 4•3+4•x
r-ruslan [8.4K]

Answer:

4x+12

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
William travels only on Saturdays and Sundays and has flown 400 miles this month. Jason travels every weekday and has flown 500
Artyom0805 [142]
Let's assume that a month has four weeks.

If William made 400 miles by travelling only on Saturdays and Sundays and there were 4 weekends during the month, then he travels 400 / 4 = 100 miles during a weekend, which is 100 / 2 = 50 miles a day.

If Jason travels every weekday during the month and he does 500 miles, then he travels 500 / 20 = 25 miles a day.

It means that William travels more miles per day.
5 0
3 years ago
What is the definition of<br> average velocity?<br>​
Dima020 [189]

Step-by-step explanation:

is it's total displacement divided by the total time taken.

3 0
3 years ago
Read 2 more answers
Please help me out here! :D
zimovet [89]

I see no reason for the aluminum foil to have lost any volume, matter, mass , etc.

If all pieces are retrieved for measuring. - &

If a clean cut was achieved- and the blade used to cut did not impede upon the proceedings by also being variable, then I reiterate that there should be no difference in volume, matter, mass, etc.

7 0
3 years ago
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