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Elden [556K]
3 years ago
11

A newly hired basketball coach promised a high-paced attack that will put more points on the board than the team’s previously te

pid offense historically managed. After a few months, the team owner looks at the data to test the coach’s claim. He takes a sample of 36 of the team’s games under the new coach and finds that they scored an average of 101 points with a standard deviation of 6 points. Over the past 10 years, the team had averaged 99 points. What is the value of the appropriate test statistic to test the new coach’s claim at the 1% significance level? a. z = 2.00 b. t35 = 2.00 c. t35 = 0.33 d. z = 0.33
Mathematics
1 answer:
puteri [66]3 years ago
7 0

Answer:

a. z = 2.00

Step-by-step explanation:

Hello!

The study variable is "Points per game of a high school team"

The hypothesis is that the average score per game is greater than before, so the parameter to test is the population mean (μ)

The hypothesis is:

H₀: μ ≤ 99

H₁: μ > 99

α: 0.01

There is no information about the variable distribution, I'll apply the Central Limit Theorem and approximate the sample mean (X[bar]) to normal since whether you use a Z or t-test, you need your variable to be at least approximately normal. Considering the sample size (n=36) I'd rather use a Z-test than a t-test.

The statistic value under the null hypothesis is:

Z= X[bar] - μ  = 101 - 99 = 2

σ/√n 6/√36

I don't have σ, but since this is an approximation I can use the value of S instead.

I hope it helps!

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PolarNik [594]

The attached picture is a summary of all the six transformations you'd do.

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Any changes inside the f(x) notation impacts x-values of points on the graph.

The trick is that the inside changes are usually the opposite of what you'd expect to have happen.

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This is an outside change.  You're adding 8 to all the y-values of points on the graph.  This will shift your entire graph up 8 units.

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This is an inside change.  Because it says "+6", you want to think, "Ah!  That means I'll actually subtract 6 from the x-value of every point on the graph." This graph is shifted 6 units to the left.

9. y=-f(x)

Inside change, impacts y-values.  Every y-value will be given the opposite signs.  Negatives become positive and positives become negative.  This will flip your graph over the x-axis.

10. y = f(-x) + 5

Give this one a shot on your own first in a comment and I'll let you know how you did.  

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4 0
3 years ago
A company took a survey about its new project. I did the hundred people surveyed, 44 liked the new product. What percentage of t
Aleks [24]

Answer:

The percentage people surveyed like to the new product is 44%.

Step-by-step explanation:

Given:

Company took a survey about its new project, hundred people surveyed, 44 liked the new product.

Now, to find the percentage of the people surveyed like to the new product:

People like new product / Total people surveyed × 100

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So, it is 44%

Therefore, the percentage people surveyed like to the new product is 44%.

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3 years ago
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QveST [7]

Answer:

C

Step-by-step explanation:

Remember that if s(t) is a position function then:

v(t)=s'(t) is the velocity function and

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Expand on the right:

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Power rule. This yields:

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And we're done!

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C. Is the correct answer.
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