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makkiz [27]
3 years ago
5

Classify the conclusion of the hypothesis test as a Type I error, a Type II error, or a correct decision. In 1991, the average m

ath SAT score for students at one school was 465. Five years later, a teacher wants to perform a hypothesis test to determine whether the average math SAT score of students at the school has changed from the 1991 mean of 465. The hypotheses are: H0: μ-465 H1: μ # 465 Suppose that the results of the sampling lead to rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the average math SAT score of students at the school has changed from the 1991 mean of 465.
A. Type II error
B. Correct decision
C. Type I error
Mathematics
1 answer:
Fofino [41]3 years ago
8 0

Answer:

B. Correct decision

Step-by-step explanation:

We know that the average math SAT score of students at the school has changed from the 1991 mean of 465. That is μ≠465.

This hypothesis was tested and the null hypothesis, that states that the average math SAT score of students at the school has not changed from the 1991 mean, was rejected.

Then, the conclusion of rejecting the null hypothesis is right, as μ=465 is false.

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ehidna [41]

Answer:

X = 1

Step-by-step explanation:

4x+4=-2x+10 \\4 - 10 =  - 2x - 4x \\  - 6 =  - 6x \\  - 6x =  - 6 \\ x =  \frac{ - 6}{ - 6}  \\ x = 1

6 0
2 years ago
David scored points less than six times the number of points Rich scored in a video game. If represents the number of points sco
UkoKoshka [18]

Answer:

David scored : 24 < 6x = 0

Step-by-step explanation:

From the information given;

David  scored ??? points less than six times the number of points Rich scored in a video game.

If  ???   represents the number of points scored by Rich

The objective is to write an expression representing the number of points scored by David.

since the value of David points and Rich letter representing the number of points scored by RIch  are not given,  Let's based our calculation on assumptions, the main thing is to understand the the process in solving the question.

Assumption:

Let assume that,

David scored 24 points and x should be the number of points scored by Rich

Then; the linear equation representing David score is:

David scored : 24 < 6x = 0

3 0
3 years ago
A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular
kap26 [50]

Answer:

  a) no

  b) 143 rectangular containers

  c) 157 cylindrical containers

  d) both (preferring rectangular for the bulk of an order)

Step-by-step explanation:

a) If the company needs to package 6,400 candles, should it use only rectangular or only cylindrical containers to minimize costs?

  No.*

For packaging 41 candles or fewer, the cylindrical container costs less than the rectangular one.

For packaging 6400 candles, there will be 10 candles left over if rectangular containers are used for most of the packaging needs. A dollar can be saved by packaging these remaining candles in a cylindrical container.

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b) How many rectangular containers will be necessary to package 6,400 candles?

  6400/45 = 142 10/45

If rectangular containers are used for all, then 143 are needed.

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c) How many cylindrical containers will be necessary to package 6,400 candles?

  6400/41 = 156 4/41

If cylindrical containers are used for all, the 157 are needed.

__

d) Which container should the company use to minimize costs?

  The cost of 143 rectangular containers is 143×$16 = $2288

  The cost of 157 cylindrical containers is 157×$15 = $2355

  The cost of 142 rectangular and 1 cylindrical container is $2287

If only one shape container is used, the company should use rectangular containers to minimize cost. If either shape can be used, cost will be minimized by using one cylindrical container for the remnant of the order.

_____

* This question is directed solely at the cost of materials required for packaging. We have advocated that both rectangular and cylindrical containers be made available. As a practical matter, the cost to the company of maintaining inventory of both sizes of containers may exceed the savings associated with using a cheaper container for smaller orders.

8 0
3 years ago
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barxatty [35]

Answer:

No solutions

Step-by-step explanation:

Isolate the absolute value:

|x−1| + 5 = 2

Subtract 5 from both sides:

|x-1| = -3

Since an absolute value can never be equal to a negative number, there are no solutions.

6 0
3 years ago
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Luba_88 [7]

Answer:

They used 6 vans and 3 buses

Step-by-step explanation:

x + y= 9

13x + 40y= 198

x= 9 - y

13(9 - y) + 40y= 198

117 - 13y + 40y= 198

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y= 3

9-3= 6

4 0
3 years ago
Read 2 more answers
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