MATHEMATICS COLLEGE

A rock group needs to choose 3 songs to play at the annualBattle of the Bands. How many ways can they choose their
set if they have 15 songs to pick from? /(10 pts)

Answers

Answer 1
Answer:

Answer:

If they have 15 songs to choose from and they can only pick three, that means they might have 5 different ways of choosing those songs.

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Answer:

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Step-by-step explanation:

PLEASE HELP!!!!!
will mark brainliest!!!!!

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Answer:

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On a number line what nomber is 3 units to the left of 3​

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is 0. The number is 3 and you move 3 units to the left which is toward the negative numbers sides below zero which equals the answer as 0. [3-3=0.]

hope this helps,have a great day!!

~Pinky~

Step-by-step explanation:

7On a number line what nomber is 3 units to the left of 3

Use the figure to complete the statements.The area of the base, B, of the pyramid is cm2.
The volume of the pyramid is cm3.asap

Answers

Answer:

The area of the base, B, of the pyramid is  96  cm2

he volume of the pyramid is 320  cm3.

Step-by-step explanation:

Answer:

96 320

Step-by-step explanation:

In a manual on how to have a number one song, it is stated that a song must be no longer than 210 seconds. A simple random sample of 40 current hit songs results in a mean length of 241.4 sec. and a standard deviation of 57.59 sec. Use a 0.05 significance level and the accompanying minitab display to test the claim that the sample is from a population of songs with a mean great thatn 210 sec. What do these results suggest about the advice given in the manual.The mini tab displays the following:

One-sample T

Test of mu=210 vs.>210

N Mean St. Dev SE Mean 95% lower bound T p

40 241.40 57.59 9.11 226.06 3.45 0.001

A H0 u>210 sec. H1 u < 210sec

B H0 u=210 sec. H1 u < 210sec

C H0 u<210 sec. H1 u> 210sec

D H0 u=210 sec. H1 u> 210sec

Identify the test statistic:

T =

Identify the P-Value

P-value=

Stat the final conclusion that addresses the original claim. Choose from below:

A. Reject H0. There is insufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec.
B. Fail to reject H0. There is insufficient evidence to support the claim that the sample is from a population of songs with a mean length great thatn 210 sec.
C. Reject H0. There is sufficient evidence to spport the claim that the sample is from a population of songs with a mean length greater than 210 sec.
D. Fail to reject H0. There is sufficient evidence to support the claim tha tthe sample is from a population of songs with a mean lenght greater than 210 sec.

What do the results suggest about the advice given in the manual?

A. The results do not suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice.
B The results suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice
C. The results suggest that 241.4 seconds is the best song lenght.
D. The results are inconclusive because the average length of a hit song is constantly changing.

Answers

Answer:

D H0 u=210 sec. H1 u> 210sec

t=(241.4-210)/((57.59)/(√(40)))=3.448    

p_v =P(t_((39))>3.448)=0.000684  

C. Reject H0. There is sufficient evidence to spport the claim that the sample is from a population of songs with a mean length greater than 210 sec.

Step-by-step explanation:

Data given and notation  

\bar X=241.4 represent the sample mean

s=57.59 represent the sample standard deviation for the sample  

n=40 sample size  

\mu_o =210 represent the value that we want to test

\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)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is greater than 210 seconds, the system of hypothesis would be:  

Null hypothesis:\mu \leq 210  

Alternative hypothesis:\mu > 210  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=(\bar X-\mu_o)/((s)/(√(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".  

Calculate the statistic

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

t=(241.4-210)/((57.59)/(√(40)))=3.448    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=40-1=39  

Since is a one side test the p value would be:  

p_v =P(t_((39))>3.448)=0.000684  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v<\alpha so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than 210 seconds.  

C. Reject H0. There is sufficient evidence to spport the claim that the sample is from a population of songs with a mean length greater than 210 sec.
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