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Hatshy [7]
3 years ago
12

Write the null and alternative hypotheses in words and then symbols for each of the following situations.

Mathematics
1 answer:
Marrrta [24]3 years ago
6 0

Answer:

A) the hypothesis in words and symbols are;

Null hypothesis: Grades have not improved for most students

Alternative hypothesis: Grades have improved for most students

Null hypothesis; H0: p^ = 0.5

Alternative hypothesis; Ha: p^ > 0.5

B) Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities

Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities

Null hypothesis; H0: μ = 15

Alternative hypothesis; Ha: μ > 15

Step-by-step explanation:

A) We are told that they sampled 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year. Thus, there will be a 50% chance of success for their grades to have improved and a 50% chance for it to remain the same.

Thus; p^ = 0.5

So the hypothesis in words and symbols are;

Null hypothesis: Grades have not improved for most students

Alternative hypothesis: Grades have improved for most students

Null hypothesis; H0: p = 0.5

Alternative hypothesis; Ha: p > 0.5

B) We are told that they estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc

Also, They also collect data on how much company time employees spend on such non-business activities during March Madness.

The hypotheses in words and symbols are;

Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities

Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities

Null hypothesis; H0: μ = 15

Alternative hypothesis; Ha: μ > 15

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zavuch27 [327]
8. $700 at 8% for 6 years.

it could mean 
1. compound interest
2. simple interest. 

1. Compound Interest

that means that each year it gives you 8% on that whatever new thing so
8 %= 0.08
Each year, it is multiplied by 1.08 since you add the original (1) to the 8% 0.08
so 6 years means
700 times 1.08^6=700 times 1.08 times 1.08 times 1.08 times 1.08 times 1.08 times
1.08 = 1110.81

2. Simple Interest
 
So just 8% of that 700 is added on 
find 8% of 700
8% of 700+0.08 times 700=0.56
6 years = 0.56 times 6 =3.36
add 3.36 + 700= 703.36

Answers are 
if compound interest = $1110.81
If Simple interest = 703.36
 
I hope this helped 

~Renee \(^_^)/

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3 years ago
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Answer: 3 x 5

Step-by-step explanation: To find the prime factorization of 15, first create a factor tree with two branches. Since 15 ÷ 3 = 5, we know that 3 and 5 are factors of 15. So we write 3 and 5 at the bottom of the branches.

While 1 and 15 are also factors, we don't use them in out factor tree. That's because when finding the prime factorization, we always use numbers other than 1 and the number itself.

Next, we circle any prime factors in the factor tree. Since both 3 and 5 are prime, we circle both 3 and 5. Since we have circles at the bottom of all of our branches, we are finished.

So the prime factorization of 15 is 3 x 5.

Notice that we write our prime factorization as a multiplication problem. Think of the prime factorization of a number as the prime factors of the number that you multiply together to get the original number.

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I hope that is correct

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