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
pishuonlain [190]
3 years ago
12

Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved th

e mean listening time. It was discovered that the mean listening time for a sample of 13 men was 35 minutes per day. The standard deviation was 8 minutes per day. The mean listening time for a sample of 11 women was also 35 minutes, but the standard deviation of the sample was 18 minutes. Use a two-tailed test and at 0.10 significance level, can we conclude that there is a difference in the variation in the listening times for men and women?

Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0

Answer:

Since the critical f-value of the test statistic is less than the f value of 2.9130, we will fail to reject the null hypothesis and conclude that there's no sufficient evidence to support the claim that there is a difference in the variation in the listening times for men and women

Step-by-step explanation:

We are given;

Sample size for men; n1 = 13

Sample size for women; n2 = 11

standard deviation for men; s1 = 8 minutes

Standard deviation for women; s2 = 18 minutes.

Significance level; α = 0.1

Let's state the hypothesis;

Null hypothesis;H0: (μ1)² = (μ2)²

Alternative hypothesis;Ha: (μ1)² ≠ (μ2)²

The value of the test statistic would be;

F = (s1)²/(s2)²

F = 8²/18² = 0.1975

Now, degree of freedom for n1 is;

DF1 = n1 - 1

DF1 = 13 - 1

DF1 = 12

Also, degree of freedom for n2 is;

DF2 = 11 - 1

DF2 = 10

Now, since it's two tailed, we will make use of α/2 for the F-distribution table.

Thus, α/2 = 0.1/2 = 0.05

So,from the f-table attached, at df1 = 12 and df2 = 10,the F-Critical value is;

F_α/2 = 2.9130

Since,the critical f-value of the test statistic is less than 2.9130, we will fail to reject the null hypothesis and conclude that there's no sufficient evidence to support the claim that there is a difference in the variation in the listening times for men and women

You might be interested in
Hailey spent $12 to buy 2 fish. Her cousin spent double the amount on fish. Each fish cost the same amount. How many fish do Hai
Greeley [361]
Haley spent $ 12....her cousin spent double....so her cuz spent $ 24

haley spent $ 12 for 2 fish...12/2 = 6 bucks per fish
so if the cuz spent $ 24....24/6 = 4.....cuz got 4 fish

haley's 2 fish + cuz's 4 fish = 6 fish in total
3 0
3 years ago
Read 2 more answers
London has a collection of 260 coins. How many coins represent 25% of her collection?
Sergeu [11.5K]

Answer:

65 coins

Step-by-step explanation:

Set this problem up with a porportion.

\frac{?}{260} \frac{25}{100}

After that, cross multiple and divide.

25 times 260. Then divide by 100. That is then your answer.

8 0
2 years ago
Martha went to the store with$75.00 she bought 3 pairs of socks for $4.00 each she bought 2 shirts for $20.00 each and she bough
fenix001 [56]
Martha is going to have $2.00 left
3 0
3 years ago
Read 2 more answers
What type of relationship is indicated by the following set of ordered pairs ? I don’t understand it .
shtirl [24]

Answer: Since the second differences are constant, there is a quadratic relationship between and .

Step-by-step explanation:

7 0
3 years ago
Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future, however, its value depreciat
Inga [223]
M represents the month because the value is decreasing every month.

Hope this helps :)
5 0
3 years ago
Read 2 more answers
Other questions:
  • The geek dormitory has 75 rooms numbered 0 to 74. each student is assigned a room whose number is the student's id number modulo
    10·2 answers
  • Jweldedljwebcdbcbjcd,jdjdadnbcd.w.newb.jxjbdew
    7·1 answer
  • Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = 2^2x
    9·1 answer
  • Find the value of x (3x+20) (5x-16)
    15·2 answers
  • A 10 kg ball is traveling at the same speed as a 1 kg ball. Compared to the 10 kg ball, the 1 kg ball has...
    15·1 answer
  • Socially conscious investors screen out stocks of alcohol and tobacco makers, firms with poor environmental records, and compani
    9·1 answer
  • Please help if you can
    12·2 answers
  • Simplify the following.
    11·1 answer
  • Midsegments DE= 7, EF=12 DF=16 if D, E, and F are midpoints of the sides of triangle ABC, find the perimeter of triangle of ABC
    6·1 answer
  • An angle measures 66.4º more than the measure of its complementary angle. What is the
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!