A researcher has saline solutions with concentrations of 8% and 17%. He wants to mix some of each solution to get 30 milliliters
1 answer:
The researcher needs to add 20 ml of 8% solution and 10 ml of 17% solution to make a 11% solution
<h3>What do you mean by Concentration ?</h3>Concentration is the measure of the mass of solute in certain volume of solution.
The parameters useful in measuring concentration is Molarity , Normality , Molality etc.
It is given that concentration of saline solutions with concentrations of 8% and 17%.
A mixture of 11% 30 ml concentration solution has to be made
The formula for mixing mixtures is given by
Here m₁ and m₂ represents the concentration and x₁ and x₂ represents the volume of solution added x₁ = x and x₂ 30-x
M = ( 8 * x +(17*(30-x))/(30)
30*11 = 8x +510 -17x
330 = -9x +510
9x = 180
x =20ml
Therefore the researcher needs to add 20 ml of 8% solution and 10 ml of 17% solution to make a 11% solution.
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Answer:
The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88
The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.
Step-by-step explanation:
Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88
At the null hypothesis, we test if the proportion is of 0.88, that is:
At the alternate hypothesis, we test if this proportion is less than 0.88, that is:
The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.88 is tested at the null hypothesis:
This means that
A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.
This means that
Test statistic:
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.
Looking at the z-table, the p-value of z = -0.68 is of 0.2483.
The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.