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IRINA_888 [86]
3 years ago
15

Using traditional methods, it takes 9696 hours to receive a basic flying license. A new license training method using Computer A

ided Instruction (CAI) has been proposed. A researcher used the technique with 150150 students and observed that they had a mean of 9595 hours. Assume the standard deviation is known to be 88. A level of significance of 0.050.05 will be used to determine if the technique performs differently than the traditional method. Find the value of the test statistic. Round your answer to 2 decimal places.
Mathematics
1 answer:
astra-53 [7]3 years ago
3 0

Answer:

The value of the test statistic is -1.53            

Step-by-step explanation:

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 96 hours

Sample mean, \bar{x} = 95 hours

Sample size, n = 150

Alpha, α = 0.05

Population standard deviation, σ = 8 hours

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{95 - 96}{\frac{8}{\sqrt{150}} } = -1.53

Thus, the value of the test statistic is -1.53

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Justine charges $25 to wash a dog. She washed 5 dogs on Saturday and then some more on Sunday. She made $325 for the weekend. Ho
Marrrta [24]

Answer

• A. Equation: 25(5 + x) = 325

,

• B. Answer: 8 dogs

Explanation

Given

• Charge to wash a dog: $25.

• She washed 5 dogs on Saturday and then some more on Sunday.

• She made $325 for the weekend.

Procedure

She charges $25 per wash, she made $325 for the weekend, and we know that on Saturday she washed 5 dogs, but we don't know how many she washed on Sunday. Thus, we have to build an equation in which the number of dogs washed on Sunday is represented by x (as we do not know the real number).

Considering that the total money made has to be equal to the multiplication of the charge times the dogs washed, the equation is:

25(5+x)=325

Then, we have to solve for x to know how many dogs did she wash on Sunday.

0. Multiplying the parenthesis

125+25x=325

<em>2. Subtracting 125 from both sides of the equation</em>

125-125+25x=325-12525x=200

<em>3. Dividing both sides of the equation against 25</em>

\frac{25x}{25}=\frac{200}{25}x=8

8 0
1 year ago
Ariel deposited 100$ into a bank account. Each Friday she will withdraw 10% of the money in the account to spend. Ariel thinks h
Scilla [17]
<span>Ariel deposited 100$ into a bank account. Each Friday she will withdraw 10% of the money in the account to spend. Ariel thinks her account will be empty after 10 withdrawals. Do you agree? Explain
OK, my initial answer is YES. I agree.
Why? Let me show you the solutions
=> 100 dollars = the money of Ariel in the bank
=> 10% = he withdraw every Friday
10% of 100 is:
=> 100 / 10 = 10 dollars
Thus,  after his 10th withdrawal, his account will be empty.</span>



8 0
3 years ago
the standard deviation of 100 random samples of the same size is approximated to be 0.98. what is the margin of error​
pogonyaev

Answer:

MOE= ± 0.098

Step-by-step explanation:

-The margin of error is calculated using the formula:

MOE=\pm \frac{\sigma}{\sqrt{n}}

#Substitute to solve for MOE:

MOE=\pm \frac{\sigma}{\sqrt{n}}\\\\=\frac{0.98}{\sqrt{100}}\\\\=\pm 0.098

Hence, the margin of error is ± 0.098

3 0
3 years ago
How to solve? I prob know it I'm just stressing and panicking from all other stuff I gotta do
Nata [24]
Left one i think thats the one 
8 0
3 years ago
Determine the amplitude and period of each function without graphing.
Luba_88 [7]

Answer:

Step-by-step explanation:

We know for a function:

y = Asinωt

=> on comparison, <u>A = 5 m</u>

=> T = 2π / ω

=> T = 2π / 2

=> <u>T = π seconds</u>

5 0
2 years ago
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