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vredina [299]
3 years ago
12

A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a coll

ege entrance exam. Based on data from the administrator of the​ exam, scores are normally distributed with mu equalsμ=522522. The teacher obtains a random sample of 20002000 ​students, puts them through the review​ class, and finds that the mean math score of the 20002000 students is 527527 with a standard deviation of 110110. Complete parts​ (a) through​ (d) below. ​(a) State the null and alternative hypotheses. Let muμ be the mean score. Choose the correct answer below. A. Upper H 0 : mu equals 522H0: μ=522​, Upper H 1 : mu not equals 522H1: μ≠522 B. Upper H 0 : mu less than 522H0: μ<522​, Upper H 1 : mu greater than 522H1: μ>522 C. Upper H 0 : mu greater than 522H0: μ>522​, Upper H 1 : mu not equals 522H1: μ≠522 D. Upper H 0 : mu equals 522H0: μ=522​, Upper H 1 : mu greater than 522
Mathematics
1 answer:
xxMikexx [17]3 years ago
8 0

Answer: D

H0: μ=522

H1: μ>522

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

So, for this case;

The null hypothesis is that the mean score equals to 522

H0: μ=522

The alternative hypothesis is that the mean score is greater than 522.

H1: μ>522

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Blizzard [7]

Answer:

2.4 miles

Step-by-step explanation:

This is a simple ratio problem.

Jordyn swims 4/5 mile in 1/3rd hour. So how many miles will they go in 1 hour? Let that be x:

That is 12/5 miles or 2  2/5 miles

In decimal, that's 2.4 miles

4 0
3 years ago
Read 2 more answers
The length and width of a rectangle are 7 cm and (x-8) cm respectively. Find the value of x if the area with of the rectangle is
Tcecarenko [31]

to find the area of a rectangle is LxW=A

plug in the given numbers you have

L = 7

W = x-8

A = 42

7 * x-8 = 42

7x-56= 42

solve for X

3 0
3 years ago
Shawn is coasting down a 500 \text{ cm}500 cm500, space, c, m long ramp on his inline skates. The wheels on his inline skates ar
Nata [24]

Answer: 16 rotations

Step-by-step explanation:

Given : Shawn is coasting down a 500 cm long ramp on his inline skates. The wheels on his inline skates are 32 cm in circumference.

Length of ramp = 500 cm

Circumference of wheels = 32 cm

Formula :

Number of rotations = Length of ramp divided by Circumference of wheels

= 500 cm ÷ 32 cm

= 15.625 ≈ 16   [approx]

Therefore, each wheel makes 16 rotations while Shawn is coasting down the ramp.

5 0
3 years ago
How many feet does a car traveling at 57 mph cover in one hour? In one minute? In one second?
Shkiper50 [21]

Hello!

We have to find how fast the car goes a minute

To find this we can do 57/60 since the car goes 57 miles an hour and there are 60 minutes in an hour

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5 0
2 years ago
A marvellous spatuletail is flying at an elevation of 4294 \dfrac29492​4, start fraction, 2, divided by, 9, end fraction meters.
user100 [1]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as what is required is not stated.

<em>However, since it deals with height of different elevations and these heights are represented by fractions, a possible question could be to calculate the difference between both elevations </em>

Represent Marvellous Spatuletail with M and Asian crested ibis with A.

M = 4\frac{2}{9}

A = 10\frac{1}{4}

Calculating the difference (D).

To do this, we make use of absolute difference as follows:

D = |M - A|

Substitute values for M and A

D = |4\frac{2}{9} - 10\frac{1}{4}|

Convert fraction to improper numbers.

D = |\frac{38}{9} - \frac{41}{4}|

Take LCM

D = |\frac{38*4-41*9}{36}|

D = |\frac{152-369}{36}|

D = |\frac{-217}{36}|

Remove the absolute sign

D = \frac{217}{36}

D = 6\frac{1}{36}

<em>Hence, the difference between both elevations is: </em>6\frac{1}{36}\ meters<em></em>

Another possible question is to determine which of the two is flying at a higher elevation or lower elevation

We have.

M = 4\frac{2}{9}

A = 10\frac{1}{4}

Compare the integer parts of both fractions.

10 > 4

So, A flies at a higher elevation.

<em>Hence: Asian crested ibis flies at a higher elevation and Marvellous Spatuletail flies at a lower elevation.</em>

7 0
2 years ago
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