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Thepotemich [5.8K]
3 years ago
7

Use the distributive property to evaluate the expression

Mathematics
1 answer:
mixas84 [53]3 years ago
8 0
44-20
-6-+20
-8a-8b 
10b+40
-2p-14
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Consider a chemical company that wishes to determine whether a new catalyst, catalyst XA-100, changes the mean hourly yield of i
kolezko [41]

Answer:

Null hypothesis:\mu = 750  

Alternative hypothesis:\mu \neq 750  

t=\frac{811-750}{\frac{19.647}{\sqrt{5}}}=6.943  

p_v =2*P(t_{4}>6.943)=0.00226  

If we compare the p value and a significance level assumed \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the actual true mean is significantly different from 750 pounds per hour.  

Step-by-step explanation:

Data given and notation

Data:    801, 814, 784, 836,820

We can calculate the sample mean and sample deviation with the following formulas:

\bar X =\frac{\sum_{i=1}^n X_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

\bar X=811 represent the sample mean  

s=19.647 represent the standard deviation for the sample

n=5 sample size  

\mu_o =750 represent the value that we want to test  

\alpha 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)  

State the null and alternative hypotheses to be tested  

We need to conduct a hypothesis in order to determine if the mean is different from 750 pounds per hour, the system of hypothesis would be:  

Null hypothesis:\mu = 750  

Alternative hypothesis:\mu \neq 750  

Compute the test statistic  

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

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

t=\frac{811-750}{\frac{19.647}{\sqrt{5}}}=6.943  

Now we need to find the degrees of freedom for the t distirbution given by:

df=n-1=5-1=4

What do you conclude?  

Compute the p-value  

Since is a two tailed test the p value would be:  

p_v =2*P(t_{4}>6.943)=0.00226  

If we compare the p value and a significance level assumed \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the actual true mean is significantly different from 750 pounds per hour.  

4 0
3 years ago
Find the midpoint of the segment with the following endpoints (-10,-1) and (-6,7)
Gala2k [10]

Answer:

(-8 , 3)

Step-by-step explanation:

(x1 , y1)   (x2 , y2) = (-10 , -1) (-6 , 7)

\frac{-6-10}{2} ,  \frac{7-1}{2}   -6 is going to be my x1 and -10 my y1

                     7 is going to be my x2 and -1 my y2

(-8 , 3)

7 0
3 years ago
Divide 5.6 by 0.7 the quotient is what ?
rjkz [21]
The answer for this is 8.
7 0
3 years ago
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Express 0.01620.01620, point, 0162 as a fraction.
just olya [345]
162/10000 is the answer to this question

8 0
3 years ago
In an examination, 50%examinees got grade 'A' in mathematics, 75% got grade 'A' in Science, and 35 students got grade 'A' in bot
jasenka [17]

Answer:

15

Step-by-step explanation:

yes it is subtracting by 75-35 then we got the answer who got A in the science only

3 0
2 years ago
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