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Tomtit [17]
3 years ago
15

Help plz!!!!!!!!! I need help please!!!

Mathematics
1 answer:
KengaRu [80]3 years ago
5 0
8. commutative property of multiplication
9. associative property of multiplication
10.<span>Multiplicative </span><span> Property of Zero
11.</span><span>Identity Property of Multiplication
</span>12. commutative property of addition
13.associative property of multiplication
14.<span>Identity Property of Addition
15. </span>commutative property of  addition
16. commutative property of multiplication
17.associative property of addition
18.Identity Property of Multiplication
19.associative property of addition
20.Identity Property of Addition
21.<span>Multiplicative </span> Property of Zero
22.associative property of multiplication
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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
Cuál es el número que no pertenece a esta sucesión 99 koma 105 koma 111 koma 117 koma 123 koma 129 koma 135 koma 141 koma 147 ko
vladimir1956 [14]

Based on the calculations, all of the numbers belong to this arithmetic sequence.

<h3>How to calculate an arithmetic sequence?</h3>

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

a_n = a_1 +(n-1)d

<u>Where:</u>

  • d is the common difference.
  • a₁ is the first term of an arithmetic sequence.
  • n is the total number of terms.

Next, we would determine the common difference as follows:

d = a₂ - a₁

d = 105 - 99 = 6.

d = a₃ - a₂

d = 111 - 105 = 6.

d = a₄ - a₃

d = 117 - 111 = 6.

Based on the calculations, all of the numbers belong to this arithmetic sequence.

Read more on arithmetic sequence here: brainly.com/question/12630565

#SPJ1

Complete Question:

What is the number that does not belong to this sequence 99, 105, 111, 117, 123, 129, 135, 141, 147, 153

6 0
2 years ago
The sum of two numbers is 14 and sum of their squares is 100.Find the numbers
Misha Larkins [42]

Answer:

8 and 6

Step-by-step explanation:

8*8=64

6*6=36

36+64=100

6 0
3 years ago
The diameter of a bike is 2 feet about how many revolutions does the wheel make to travel 2 kilometers
Artist 52 [7]
1,000 because kilometers is 1,000 is how many is for 2 but for one it's 500
4 0
3 years ago
Greg is riding his bicycle. He rides
Sauron [17]
6.4 kilometers an hour<span />
3 0
3 years ago
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