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SOVA2 [1]
3 years ago
15

a normal distribution with a mean of 25 minutes with a population standard deviation of 5 minutes. The store manager sampled 100

customers and found that the mean waiting time was 24.25 minutes. At the 0.01 significance level, test if the mean waiting time is less than 25 minutes.
Mathematics
1 answer:
sergiy2304 [10]3 years ago
4 0

Answer:

z=\frac{24.25-25}{\frac{5}{\sqrt{100}}}=-1.5      

The p value for this case would be given with this probability:

p_v =P(z  

For this case since the p value is higher than the significance level of 0.01 we have enough evidence to fail to reject the null hypothesis and we don't have enough evidence to conclude that the true mean is significantly less than 25 min.

Step-by-step explanation:

Information given

\bar X=242.5 represent the sample mean      

\sigma=5 represent the population deviation

n=100 sample size      

\mu_o =25 represent the value to check

\alpha=0.01 represent the significance level

z would represent the statistic  

p_v represent the p value

Hypotheis to test

We want to verify if the true mean is less than 25 min, the system of hypothesis would be:      

Null hypothesis:\mu \geq 25      

Alternative hypothesis:\mu < 25      

The statistic would be given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)      

And replacing the info given we got:

z=\frac{24.25-25}{\frac{5}{\sqrt{100}}}=-1.5      

The p value for this case would be given with this probability:

p_v =P(z  

For this case since the p value is higher than the significance level of 0.01 we have enough evidence to fail to reject the null hypothesis and we don't have enough evidence to conclude that the true mean is significantly less than 25 min.

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Running an average rate of 6 mph how many minutes will it take Kyle to run 3 miles?
yarga [219]
Mile in one minute. Therefore, at this rate, Kyle runs one mile in 10 minutes. It follows that it would take Kyle 3 × 10 = 30 minutes to run 3 miles.
8 0
2 years ago
The coefficient of x^ky^n-k in the expression of (x+y)^n equals (n-k/k) true or false
gulaghasi [49]

Answer:

False

Step-by-step explanation:

The given statement is:

The coefficient of x^ky^n-k in the expression of (x+y)^n equals (n-k/k)

This is a false statement

Reason:

When we do expansion of (x+y)^n by binomial theorem we get the following solution:

(x+y)^n = nCk x^k y^n-k

This shows that the coefficient of  x^ky^n-k  is nCk which is equivalent to n!/(n-k)! k!

Therefore it is a false statement....

3 0
3 years ago
PPPPLLLLLZZZZZ HELP!! ASAP! (MATH) ILL GIVE U BRAINLIST AND A THANK YOU AND U'LL GET POINTS!!
Andre45 [30]

Answer:

1).

Alyssa:

About 1 book

Brandon:

About 1 book

Alyssa:

7/12 of a book

Brandon:

4/5 of a book

Step-by-step explanation:

Alyssa:

1/4=1/2

1/3=1/2

1/2+1/2-1

1/4= 3/12

1/3=4/12

3/12+4/12=7/12

Brandon:

2/5=1/2

4/10=1/2

1/2+1/2=1

2/5=4/10

4/10+4/10=8/10=4/5

Hope this helps! Please mark as brainliest!

7 0
3 years ago
WILL MARK BRAINLIEST if correct.
iragen [17]

Answer:

4 1/2

Step-by-step explanation:

3 0
2 years ago
Pls help me!!!! I'm stuck on how to solve this!!??
lisabon 2012 [21]
Let A represent the value of the car after each year.
A= initial value (P)×(1+percent increase(r)) ^time
A=P×(1+r)^t
A=18710×(1+(-12%))^8
A=18710×(1-12%)^8
A=18710×(1-0.12)^8
A=18710×(0.88)^8
A= 6728.7619591115
The best approximation is 6729
Therefore the value of the car will be about $6729 after 8 years
Your answer is B.
4 0
3 years ago
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