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
Sedbober [7]
3 years ago
5

The mean SAT score in mathematics, M, is 600. The standard deviation of these scores is 48. A special preparation course claims

that its graduates will score higher, on average, than the mean score 600. A random sample of 70 students completed the course, and their mean SAT score in mathematics was 613.
a) At the 0.05 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 48.
Mathematics
2 answers:
kupik [55]3 years ago
6 0

Answer:

Step-by-step explanation:

The mean SAT score is \mu=600, we are going to call it \mu since it's the "true" mean

The standard deviation (we are going to call it \sigma) is

\sigma=48

Next they draw a random sample of n=70 students, and they got a mean score (denoted by \bar x) of \bar x=613

The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.

- So the Null Hypothesis H_0:\bar x \geq \mu

- The alternative would be then the opposite H_0:\bar x < \mu

The test statistic for this type of test takes the form

t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}

and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.

With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.

t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\\\\= \frac{| 600-613 |}{48/\sqrt(70}}\\\\= \frac{| 13 |}{48/8.367}\\\\= \frac{| 13 |}{5.737}\\\\=2.266\\

<h3>since 2.266>1.645 we  can reject the null hypothesis.</h3>
Zina [86]3 years ago
6 0

Answer:

The null hypothesis is that the SAT score is not significantly different for the course graduates.

Alternate hypothesis: there is a significant difference between the SAT score achieved by the course graduates as compared to the non-graduates.

Apply the t-test. The Test Statistic value comes out to be t = 1.738 and the p-value = 0.0844

Since the p-value is larger than 0.05, the evidence is weak and we fail to reject eh null hypothesis.

Hope that answers the question, have a great day!

You might be interested in
You weld two piece's of steel together. The toral thickness is 33/64 inch. If one piece of steel is 9/32 inch thick, how thick t
Anon25 [30]

Subtract the thickness of the known piece from the total thickness.

Because they have different denominators rewrite them to have the same.

9/32 x 2 = 18/64

Now you have 33/64 - 18/64 = 15/64

The other piece is 15/64 inch thick.

4 0
2 years ago
Please I swear my math teacher is going to kill me​
vodomira [7]

5x−y=4

Solve for y

.

Tap for more steps...

y=−4+5x

Rewrite in slope-intercept form.

Tap for more steps...

y=5x−4

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope: 5

y-intercept: (0,−4)

Any line can be graphed using two points. Select two x

values, and plug them into the equation to find the corresponding y

values.

Tap for more steps...

xy0−4450

Graph the line using the slope and the y-intercept, or the points.

Slope: 5

y-intercept: (0,−4)

xy0−4450

8 0
2 years ago
Steve works as a football referee for 10 hours a week, and as a bus driver for 30 hours per week.if both jobs pay $21 per hour,h
arsen [322]

Answer:

$840

Step-by-step explanation:

First, add 30 to 10.

Then, multiply your answer (40) by 21.

Finally, you get your final answer of $840.

6 0
2 years ago
Which equation, when solved, results in a different value of x than the other three?
kicyunya [14]
I would have to say -7(1/8)x-4/3=20.


The first and the second one both result in
-23 5/7

The last one results in -24 8/21

but the third one is -22 3/8.

So your answer is either the third of the last one. I assumed the third because, it is lower than all others and the first two are closer to 24 than they are to 22. It’s your choice on how to judge it.
5 0
2 years ago
PLEASE HELP ASAP WILL GIVE BRAINLEIST
OleMash [197]
Angle Q and angle S equal 61
6 0
3 years ago
Other questions:
  • R, S, and T are the vertices of one triangle. E, F, and D are the vertices of another triangle. m∠R = 60, m∠S = 80, m∠F = 60, m∠
    8·2 answers
  • The tires on Pablo's bicycle have a radius of 10 inches. Use the appropriate formula model to find the circumference. What is th
    9·1 answer
  • Simplify (-5) + (-2) - (-7) - (+9)
    5·1 answer
  • Planet A has a circumference of 93,480 miles. Its moon has a diameter that is approximated to be 1/ 8 that of Planet A. Find the
    15·1 answer
  • PLEASE HURRY AND ANSWER!!!!
    6·1 answer
  • How much is it because I’m not too sure about it
    12·1 answer
  • The circles at the right are congruent. Which conclusion can you draw?
    10·1 answer
  • Solve the equation 8·4^x+1=1​
    7·1 answer
  • What is the equation of the trend line in the scatter plot when y=6 and x=9
    14·1 answer
  • Find the slope of the line
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!