The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution. (Source. www.ets.org) Suppose a random sample of 10 economics students took the test, and their scores are given below. 158, 166, 158, 149, 154, 164, 169, 144, 155, 160 Test the claim that the mean quantitative score is greater than 152.1 at the 0.10 level of significance. i. State your null and alternative hypothesis: ii. Describe what you type into your calculator to have it run the numbers. iii. State your P-value iv. State your conclusion is a way a non-stat student would understand.

i) Null hypothesis:

Alternative hypothesis: 152.1" alt="\mu > 152.1" align="absmiddle" class="latex-formula">

ii) Assuming that we have a TI84 or TI83 calculator we need to follow these steps:

a) Press STAT

b) Press on Edit > 1: Edit..., Enter

c) On the column L1, put all the 10 values below

d) Press 2nd and then Mode

e) Press on STAT

f) Move to the right to the option TESTS

g) Select the second option T-Test..

h) On Inpt: select Data, the value for , List: L1, Freq: 1, and on the \mu_o" alt="\mu : >\mu_o" align="absmiddle" class="latex-formula">

i) Finally press on Calculate

iii) 2.316)=0.0229" alt="p_v =P(t_{(9)}>2.316)=0.0229" align="absmiddle" class="latex-formula">

iv) If we compare the p value and the significance level given we see that so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than 152.1 at 10% of significance.

Step-by-step explanation:

Data given and notation

Data: 158, 166, 158, 149, 154, 164, 169, 144, 155, 160

We can find the sample mean and the sample deviation with the following formulas:

represent the sample mean

represent the sample standard deviation

sample size

represent the value that we want to test

represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

represent the p value for the test (variable of interest)

i. State your null and alternative hypothesis:

We need to conduct a hypothesis in order to check if the mean is higher than 152.1, the system of hypothesis are :

Null hypothesis:

Alternative hypothesis: 152.1" alt="\mu > 152.1" align="absmiddle" class="latex-formula">

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

(1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

ii. Describe what you type into your calculator to have it run the numbers.

Assuming that we have a TI84 or TI83 calculator we need to follow these steps:

a) Press STAT

b) Press on Edit > 1: Edit..., Enter

c) On the column L1, put all the 10 values below

d) Press 2nd and then Mode

e) Press on STAT

f) Move to the right to the option TESTS

g) Select the second option T-Test..

h) On Inpt: select Data, the value for , List: L1, Freq: 1, and on the \mu_o" alt="\mu : >\mu_o" align="absmiddle" class="latex-formula">

i) Finally press on Calculate

P-value

First we need to calculate the degrees of freedom given by:

Since is a one-side upper test the p value would be:

2.316)=0.0229" alt="p_v =P(t_{(9)}>2.316)=0.0229" align="absmiddle" class="latex-formula">

iv. State your conclusion is a way a non-stat student would understand.

If we compare the p value and the significance level given we see that so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than 152.1 at 10% of significance.

Related Questions

The sum of two numbers is 55 and the difference is 9. what are the numbers?

X + y= 55
x - y= 9
y = 23
x = 32

the numbers are 23 and 32
Difference is 9: x-y=9
From the second equation x=9+y (substitute that into the first equation to solve for y).
9+y+y=55

2y=46

y=23. (Substitute that back into the second equation to find x.)
x=9+y = 23+9 = 32.
23+32 = 55 (Check).

Plate tectonics explains which of the following? a. trenches
b. ocean currents
c. mudslides

It cause trenches because it creates holes on the earth's crust

Step-by-step explanation:just took test make me as brainiliest

Which of the following statements are true about functions and relations? No trigonometric functions are relations. All trigonometric functions are relations. A trigonometric function may or may not be a relation. The vertical line test will not work for trigonometric relations.

Statement b is true about functions and relations. i.e. "All trigonometric functions are relations"

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The trigonometric functions are real functions that relate the angle of a right-angled triangle to the ratios of its two side lengths. They are also known as circular functions, angle functions, or goniometric functions.

Because there is only one specified y value for every defined x value inside their domain, trigonometric functions all pass the vertical line test, proving that all functions are relations.

Thus, statement b is true about functions and relations. i.e. "All trigonometric functions are relations"

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The answer is "All trigonometric functions are relations"

All functions are relations, and all trigonometric functions pass the vertical line test because, within their domain, there is only one defined y value for every x value.

What is the slope of the line that contains the points (−4,2) and (6,-3)?

6-(-4)= 10/5= 2
-3-2
y2-y1
x2-x1
^ slope formula then,
y=mx+b to find the y intercept
-2 would be the slope in simplified form. You had to use the formula y2-y1 over x2-x1

If c(x)= 5/x-2 and d(x) = x + 3, what is the domain of (cd)(x)?

12 pencils cost $12.76. what is the cost per pencil Answers 12.76 divide 12= 1.06 1.063333? Makes no sense SkateWorld charges$10.00 for admission plus $2.50 per hour to rent ice skates. IceLand charges$7.00 for admission plus \$4.00 per hour to rent ice skates.

What is the question exactly? I do not understand what the question is.

Hal forgot the number of people at the basketball game. He does remember that the number had four digits and a 3 in the tens place. Write a number that Hal could've thinking of.

Well that could really be any number in the world but i'll just give you some random numbers
1234
8439
7238
3333
4531
2930
637
732
130

You can use one of those I guess

Solve
6x + 5 = 3x + 14

It needs to be written in a step by step way of how to do it xx

You must solve for x in order to balance the equations.

x= 3

6(3)+5=3(3)+14

18+5= 9+14, which is 23=23

x equals 3 and both equations equal to 23.

x = 3

Step-by-step explanation:

6x + 5 = 3x + 14

6x - 3x = 14 - 5

3x = 9

x = 9/3

x = 3