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ale4655 [162]
3 years ago
11

Please someone help it’s due for a test

Mathematics
1 answer:
miss Akunina [59]3 years ago
3 0
Your answer would be Brendan
You might be interested in
A phone manufacturer wants to compete in the touch screen phone market. Management understands that the leading product has a le
frutty [35]

Answer:

a) Null hypothesis:\mu_{1} - \mu_{2} \leq 120

Alternative hypothesis:\mu_{1} - \mu_{2}>120

b) Calculate the statistic

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

t=\frac{(485-340)-120}{\sqrt{\frac{55^2}{100}+\frac{30^2}{120}}}}=4.0689  

c) Critical value

The first step is calculate the degrees of freedom, on this case:

df=n_{1}+n_{2}-2=100+120-2=218

The significance level on this case is 0.05 or 5% so we need to find a quantile on the t distribution with 218 degrees of freedom that accumulates 0.95 of the area on the left and 0.05 of the area on the right tail and this value can be founded with the following excel code: "=T.INV(1-0.05,218)" and we got:

t_{crit}= 1.652

Conclusion

Since our calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 5% of significance and then we can conclude that the new product has a battery life more than two hours (120 minutes) longer than the leading product

Step-by-step explanation:

Data given and notation

\bar X_{1}= 8*60 +5 =485 represent the mean for the new sample

\bar X_{2}=5*60+40=340 represent the mean for the old sample

s_{1}=55 represent the sample standard deviation for the new sample

s_{2}=30 represent the sample standard deviation for the old sample

n_{1}=100 sample size selected for the new sample

n_{2}=120 sample size selected for the old sample

\alpha=0.05 represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

p_v represent the p value for the test (variable of interest)

a) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the new product has a battery life more than two hours longer than the leading product., the system of hypothesis would be:

Null hypothesis:\mu_{1} - \mu_{2} \leq 120

Alternative hypothesis:\mu_{1} - \mu_{2}>120

If we analyze the size for the samples both are higher than 30 but we don't know the population deviations 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)

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".

b) Calculate the statistic

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

t=\frac{(485-340)-120}{\sqrt{\frac{55^2}{100}+\frac{30^2}{120}}}}=4.0689  

c) Critical value

The first step is calculate the degrees of freedom, on this case:

df=n_{1}+n_{2}-2=100+120-2=218

The significance level on this case is 0.05 or 5% so we need to find a quantile on the t distribution with 218 degrees of freedom that accumulates 0.95 of the area on the left and 0.05 of the area on the right tail and this value can be founded with the following excel code: "=T.INV(1-0.05,218)" and we got:

t_{crit}= 1.652

Conclusion

Since our calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 5% of significance and then we can conclude that the new product has a battery life more than two hours (120 minutes) longer than the leading product

7 0
3 years ago
In survey 17/25 of the people surveyed have a cat. what percent of the people surveyed have a cat?
mestny [16]

Answer:

The percentage of the people surveyed that have a cat is 68%

Step-by-step explanation:

we know that

To find the percentage of the people surveyed that have a cat, multiply the given fraction by 100

so

\frac{17}{25}*100=17*4=68\%

7 0
3 years ago
Select the correct answer.<br> A and АВ:<br><br> Which matrix is matrix B?
Kruka [31]

Answer:

Option B

Step-by-step explanation:

Looking at the options, option B is correct because when multiplying it by matrix A, it yields the matrix AB as follows;

First row of A multiplied by first column of matrix in option D;

(1 × -1) + (0 × 0) + (0 × 0) = -1 which corresponds to the first number on the first row of Matrix AB

Since majority of matrix AB are zero, I will just prove the ones that are not zero.

Thus;

Second row of matrix A is multiplied by second column of matrix in option D;

(0 × 0) + (-1 × -1) + (0 × 0) = 1 which is same as 2nd number on second row in matrix AB

Lastly, third row of matrix A is multiplied by third column of matrix in option D;

(0 × 0) + (0 × 0) + (1 × -1) = -1 which is same as third number in third row in matrix AB

5 0
2 years ago
Im gon be posting a lot so helppp
almond37 [142]
12/3 is rational


DescriptionIn mathematics, a rational number is a number that can be expressed as the quotient or fraction
6 0
3 years ago
Read 2 more answers
Train A and Train B both leave the station at 9am. Train A stops every 15 minutes. Train B stops every 24 minutes. At what time
snow_tiger [21]

Answer:

here

Step-by-step explanation:

180 minutes

6 0
3 years ago
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