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
Ne4ueva [31]
2 years ago
5

In a study, researchers wanted to measure the effect of alcohol in the development of the hippocampal region in adolescents. The

researchers randomly selected 30 adolescents with alcohol use disorders to compare the hippocampal volumes in the alcoholic adolescents to the normal volume of 9.08 cubic centimeters. An analysis of the sample data revealed that the hippocampal volume was distributed normally with a mean of 8.25 cm^3 and a standard deviation of 1.67 cm^3.
a. The researchers wanted to determine if the hippocampal values in the alcoholic adolescents were different from the normal volume of 9.08 cm. Write the null and alternative hypotheses for this question. Use a t critical value of 2.045.
b. What are the assumptions (conditions) of this test? Are the assumptions met for this sample?
c. Perform the appropriate test including the formula that you used, the calculated value of the t-statistic, and the t-critical you compared your t-statistic to using a significance level of .05. Then, state your conclusion to the test.
d. Calculate and interpret the 95% confidence interval for the test. Use a t critical of 2.045.
Mathematics
1 answer:
lbvjy [14]2 years ago
4 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Sample size, n = 30

Tcritical value = 2.045

Null hypothesis :

H0: μ = 9.08

Alternative hypothesis :

H1: μ≠ 9.08

Sample mean, m = 8.25

Samole standard deviation, s = 1.67

Test statistic : (m - μ) ÷ s/sqrt(n)

Test statistic : (8.25 - 9.08) ÷ 1.67/sqrt(30)

Test statistic : - 0.83 ÷ 0.3048988

Test statistic : - 2.722

Tstatistic = - 2.722

Decision region :

Reject Null ; if

Tstatistic < Tcritical

Tcritical : - 2.045

-2.722 < - 2.045 ; We reject the Null

Using the α - level (confidence interval) 0.05

The Pvalue for the data from Tstatistic calculator:

df = n - 1 =. 30 - 1 = 29

Pvalue = 0.0108

Reject H0 if :

Pvalue < α

0.0108 < 0.05 ; Hence, we reject the Null

You might be interested in
A rectangle has an area of 126 m2 and a width of 7 m. What is its length?
Lorico [155]
126 divided by 7 equals 18



18 m
8 0
3 years ago
Read 2 more answers
How do you answer this?
lidiya [134]
(a + b)^3 = a^3 + 3a^2b + 3ab^2+ b^3 
(a +(- b))^3 = (a-b)^2 =  a^3 - 3a^2b + 3ab^2- b^3  
7 0
3 years ago
Find all numbers whose absolute value is 3 . If there is more than one, separate them with commas. If there are no such numbers,
adelina 88 [10]

Answer:

3, and -3

Step-by-step explanation:

Because absolute value is the distance away from zero, |3| and |-3| would both be 3 units away from 0. Be sure to have the negative on the inside if you're trying to make something positive, otherwise -|3| means that the absolute value of 3 would then become negative since the negative sign isn't a part of the absolute. hope this helps!

3 0
3 years ago
A square has a side length 15.8cm.If 3 such squares are linked side to side in a straight line, what is the perimeter of the who
Novay_Z [31]

Answer:

126.4 cm

Step-by-step explanation:

1. 15.8 * 3 = 47.4 (This is the length)

2. Find half of the rectangle

47.4 + 15.8 (width) = 63.2

3. Find the whole perimeter

63.2 * 2 = 126.4

3 0
3 years ago
Read 2 more answers
And item is regularly priced at $81. Maria brought it at a discount of 85% off the regular price you say a LEKS calculator to fi
Paladinen [302]

Answer:$12.15

Step-by-step explanation:

Given

The regular price of an item \$81

Maria gets a discount of 85\%

Amount paid after the discount is

\Rightarrow 81(1-85\%)\\\Rightarrow 81(1-0.85)=85(0.15)\\\Rightarrow \$12.15

4 0
3 years ago
Other questions:
  • The width of a rectangle is 3 less than 2 times the length. If the perimeter is 51 what is the actual length and width of the re
    5·1 answer
  • What us the equation of the line that has a slope of 0 and passes though the point (4,22)
    9·1 answer
  • For the function f(x) = x + 4, what is the ordered pair for the point on the graph when x = 3p? a. (x, x + 4) b. (x, 3p + 4) c.
    5·1 answer
  • Assume the speed of vehicles along a stretch of I-10 has an approximately normal distribution with a mean of 81 mph and a standa
    12·1 answer
  • Triangle QNP was dilated by a scale factor of One-third about point P. It was then transformed in another way to produce Triangl
    7·2 answers
  • Help me please and thank you
    11·2 answers
  • HELP PLEASE!!
    8·1 answer
  • What is the area of the parallelogram shown?
    6·1 answer
  • Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si
    14·1 answer
  • Christian and Yong had some stickers in the ratio 2:3. After Yong gave Christian 15 stickers,
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!