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lukranit [14]
3 years ago
15

Evaluate expression 8s-5t+s2;s=4,t=1

Mathematics
1 answer:
jeka57 [31]3 years ago
4 0
8(4)-5(1)+2(4)
Multiply
32-5+8
Solve from left to right
28+8
36

The answer is 36
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Men are believed to have a slightly longer average length of short hospital stays than women; 5.2 days versus 4.5 days respectiv
Georgia [21]

Answer:

Since our calculated value is lower than our critical value,z_{calc}=2.02, we have enough evidence to FAIL to reject the null hypothesis at 1% of singificance. So there is not nough evidence to conclude that mean for men it's significantly higher than the mean for female.

Step-by-step explanation:

1) Data given and notation  

\bar X_{1}=5.2 represent the mean for group men  

\bar X_{2}=4.5 represent the mean for group women  

Assuming these values for the remaining data:

\sigma_{1}=1.2 represent the population standard deviation for the sample men

\sigma_{2}=1.5 represent the population standard deviation for the sample women

n_{1}=32 sample size for the group men  

n_{2}=30 sample size for the group women  

z would represent the statistic (variable of interest)

p_v represent the p value  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the mean for men it's higher than the mean for women, the system of hypothesis would be:  

H0:\mu_{1} \leq \mu_{2}  

H1:\mu_{1} > \mu_{2}  

If we analyze the size for the samples both are higher than 30, and we know the population deviation's, so for this case is better apply a z test to compare means, and the statistic is given by:  

z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

z-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.  

3) Calculate the statistic  

We have all in order to replace in formula (1) like this:  

z=\frac{5.2-4.5}{\sqrt{\frac{1.2^2}{32}+\frac{1.5^2}{30}}}=2.02  

4) Find the critical value

In order to find the critical value we need to take in count that we are conducting a right tailed test, so we are looking on the normal standard distribution a value that accumulats 0.01 of the area on the right and 0.99 of the area on the left. We can us excel or a table to find it, for example the code in Excel is:

"=NORM.INV(1-0.01,0,1)", and we got z_{critical}=2.33

5) Statistical decision

Since our calculated value is lower than our critical value,z_{calc}=2.02, we have enough evidence to FAIL to reject the null hypothesis at 1% of significance. So there is not nough evidence to conclude that mean for men it's significantly higher than the mean for female.

6 0
3 years ago
12 - C = –16<br> solve for C
inna [77]

Answer:

28

Step-by-step explanation:

1) subtract 12 from both sides

2) divide by negative 1

3 0
3 years ago
Read 2 more answers
An item is priced at $14.42. If the sales tax is 5%, what does the item cost including sales tax?
faltersainse [42]
I would say that the answer is D 21.63
3 0
3 years ago
PLZ HURRY IT'S URGENT!!
Ksenya-84 [330]
The answer would be 40
-4(-2) = 8
8(5) = 40
7 0
3 years ago
A cube measures 1cm on each side. What is the volume of the cube? If this cube is dropped into a 28ml of water, what will the ne
Archy [21]
  • Answer:

<em>29 ml</em>

  • Step-by-step explanation:

<em>Vcube = 1cm×1cm×1cm = 1 cm³</em>

<em>1 cm³ = 1 ml</em>

<em>If this cube is dropped into a 28ml of water the new reading will be 29 ml.</em>

3 0
3 years ago
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