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Ket [755]
3 years ago
13

Clayton and Timothy took different sections of Introduction to Economics. Each section had a different final exam. Timothy score

d 83 out of 100 and had a percentile rank in his class of 72. Clayton scored 85 out of 100 but his percentile rank in his class was 70. Who performed better with respect to the rest of the students in the class, Clayton or Timothy? Explain your answer. Clayton, since his score is higher. Clayton, since his percentile score is lower. Timothy, since his score is lower. Timothy, since his percentile score is higher.
Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer: Fourth option is correct.

Step-by-step explanation:

Since we have given that

Timothy scored 83 out of 100.

His percentile rank in his class = 72

Clayton scored 85 out of 100.

His percentile rank in his class = 70.

Since Clayton's percentile rank is lower than Timothy's rank.

So, Timothy performed better with respect to the rest of the students in the class.

Hence, Timothy as his percentile score is higher.

Therefore, Fourth option is correct.

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A major airline is concerned that the waiting time for customers at its ticket counter may be exceeding its target average of 19
sertanlavr [38]

Answer:

a) Statement is true

b) Statement incorrect. Company goal is to attend customer at 190 second at the most. So test should be one tail test  (right)

c) We have to reject H₀, and differences between sample mean and the hypothesized population mean should not be attributed only to sampling error

Step-by-step explanation:

a)  as the significance level is = 0,02  that means  α = 0,02 (the chance of error type I )  and the β (chance of type error II   is

1  -  0.02  =  0,98

b) The company establishe in 190 seconds time for customer at its ticket counter (if this time is smaller is excellent ) company is concerned about bigger time because that could be an issue for customers. Therefore the test should be a one test-tail to the right

c) test statistic

Hypothesis test should be:

null hypothesis                H₀   =  190

alternative hypothesis    H₀   >  190

t(s)  =  ( μ  -  μ₀ ) / s/√n      ⇒   t(s)  = ( 202 - 190 )/(28/√100 )

t(s)  = 12*10/28

t(s)  = 4.286

That value is far away of any of the values found for 99 degree of fredom and between  α  ( 0,025 and 0,01 ). We have to reject H₀, and differences between sample mean and the hypothesized population mean should not be attributed only to sampling error

If we look table  t-student we will find that for 99 degree of freedom and α = 0.02.

3 0
3 years ago
The perimeter of rectangular park is 450m.the length of the sides is in the ratio 3:2.find the area of the rectangle
matrenka [14]

Answer:  12,150 m²

<u>Step-by-step explanation:</u>

The ratio is 3:2 which means

Length (L) = 3x

Width (w) = 2x

Perimeter (P) = 2L + 2w

              450 = 2(3x) + 2(2x)

              450 = 6x + 4x

              450 = 10x

                45 = x

                                      L = 3x                w = 2x

                                         = 3(45)               = 2(45)

                                         = 135                  = 90

Area (A) = L × w

              = 135 × 90

              = 12,150

6 0
3 years ago
So plz help don’t get it
Over [174]
Gretchen ran 48 meters in nine seconds, x+time (9) and y= meters (48)
i hope this  helped :)
5 0
3 years ago
Read 2 more answers
Select all of the angles that have the same measure as angle 2. assume the lines are parallel
Phoenix [80]
4, 5, and 7 are the answer
6 0
3 years ago
Read 2 more answers
Factorise each of the following algebraic expressions completely,
LekaFEV [45]

Answer:

see explanation

Step-by-step explanation:

(a)

Given

2k - 6k² + 4k³ ← factor out 2k from each term

= 2k(1 - 3k + 2k²)

To factor the quadratic

Consider the factors of the product of the constant term ( 1) and the coefficient of the k² term (+ 2) which sum to give the coefficient of the k- term (- 3)

The factors are - 1 and - 2

Use these factors to split the k- term

1 - k - 2k + 2k² ( factor the first/second and third/fourth terms )

1(1 - k) - 2k(1 - k) ← factor out (1 - k) from each term

= (1 - k)(1 - 2k)

1 - 3k + 2k² = (1 - k)(1 - 2k) and

2k - 6k² + 4k³ = 2k(1 - k)(1 - 2k)

(b)

Given

2ax - 4ay + 3bx - 6by ( factor the first/second and third/fourth terms )

= 2a(x - 2y) + 3b(x - 2y) ← factor out (x - 2y) from each term

= (x - 2y)(2a + 3b)

8 0
3 years ago
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