1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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!

You might be interested in
What is -0.75 - (-2/3) +0.4 + (-3/4) =
liberstina [14]

Answer:

-0.43

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
10. A company finds that 45% of first-time visitors to its website do not buy any of its products. If there are 75 first-time vi
vekshin1

Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.

For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 45% of first-time visitors to its website do not buy any of its products, hence 55% buy, that is, p = 0.55.
  • There are 75 first-time visitors on a given day, hence n = 75.

The probability that exactly 36 of them buy a product is P(X = 36), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 36) = C_{75,36}.(0.55)^{36}.(0.45)^{39} = 0.044

More can be learned about the binomial distribution at brainly.com/question/24863377

8 0
2 years ago
Please help me with this
Zolol [24]

Answer:

MN=9.1 cm

LM= 9.9 cm

Step-by-step explanation:

3 0
2 years ago
If I buy a stereo for $245 and this includes GST of 10%, what is the pre-GST price?
Ivan

Answer:  $222.73

===========================================

Work Shown:

x = pre-GST price

10% of x = 0.10x = tax amount

x + 0.10x = 1.10x = post-GST price = 245

1.10x = 245

x = 245/1.10

x = 222.7272 approximately

x = 222.73 is the price before tax.

------------

Check:

10% of 222.73 = 0.10*222.73 = 22.273 = 22.27

The tax amount ($22.27) is added to the pre-GST price to get

22.27+222.73 = 245

which matches the post-GST price mentioned.

The answer is confirmed.

Or another way to confirm the answer is to calculate this

1.10*222.73 = 245.003 = 245

6 0
2 years ago
Read 2 more answers
Is a function always a relation
ziro4ka [17]

Answer:

No, to be a function a relation must fulfill two requirements: existence and unicity.

Step-by-step explanation:

  • Existence is a condition that establish that every element of te domain set must be related with some element in the range. Example: if the domain of the function is formed by the elements (1,2,3), and the range is formed by the elements (10,11), the condition is not respected if the element "3" for example, is not linked with 10 or 11 (the two elements of the range set).
  • Unicity is a condition that establish that each element of the domain of a relation must be related with <u>only one</u> element of the range. Following the previous example, if the element "1" of the domain can be linked to both the elements of the range (10,11), the relation is not a function.
3 0
3 years ago
Other questions:
  • The cartoon can hold 1000 unit cubes I measured 1" x 1" x 1".Describe the dimensions of the carton using unit cubes
    9·1 answer
  • Lena has $2800 dollars in her account and makes automatic $700 monthly payments on a cell phone bill. Use a table to find when a
    8·2 answers
  • which statement correctly descibes what happens to the shape and location of the graph of y=2x^2 if it is regraphed as y=-1/2x^2
    13·1 answer
  • You have 896 grams of a radioactive
    8·2 answers
  • The value of 3⁵ ÷ 3-⁶
    5·2 answers
  • Please solve this equation<br><br><br> 9/6=x/9
    7·1 answer
  • Can some one do this for me
    7·2 answers
  • Expand and simplify<br> (x-4) (x+3) (x-10)
    9·1 answer
  • HURRY PLEASE!!!!<br><br> the answer choices are<br> A. 62<br> B. 48<br> C. 132
    14·1 answer
  • What is the distance between points (-3,2) (7,13)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!