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
Elan Coil [88]
3 years ago
10

The mean number of English courses taken in a two–year time period by male and female college students is believed to be about t

he same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an averageof three English courses with a standard deviation of 0.8.The females took an average off our English courses with a standard deviation of 1.0.
(a) Are the means statistically the same?
Mathematics
1 answer:
prisoha [69]3 years ago
3 0

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. it is a two-tailed test. Let m be the subscript for the number of English courses taken by male students and f be the subscript for the number of English courses taken by female students.

Therefore, the population means would be μm and μf.

The random variable is xm - xf = difference in the sample mean number of English courses taken by male and female students.

We would set up the hypothesis.

The null hypothesis is

H0 : μm = μf H0 : μm - μf = 0

The alternative hypothesis is

H1 : μm ≠ μf H1 : μm - μf ≠ 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(xm - xf)/√(sm²/nm + sf²/nf)

From the information given,

xm = 3

xf = 4

sm = 0.8

sf = 1

nm = 29

nf = 16

t = (3 - 4)/√(0.8²/29 + 1²/16)

t = - 11.82

The formula for determining the degree of freedom is

df = [sm²/nm + sf²/nf]²/(1/nm - 1)(sm²/nm)² + (1/nf - 1)(sf²/nf)²

df = [0.8²/29 + 1²/16]²/[(1/29 - 1)(0.8²/29)² + (1/16 - 1)(1²/16)²] = 0.00715/0.00027781093

df = 25.7

Approximately, df = 26

We would determine the probability value from the t test calculator. It becomes

p value = 0.00001

Assuming a level of significance of 0.05, we would reject the null hypothesis because the p value, 0.00001 is < 0.05

Therefore, we can conclude that the means are not statistically the same.

You might be interested in
What is the answer to this question below guys.
Mashutka [201]

Answer:

Step-by-step explanation:

6+8=14

7 0
3 years ago
Laurie has a signed contract with I- Mobile where she will pay a $25 fee each month plus $2 per phone call.
nikitadnepr [17]

Answer:

i dont know how your teacher teaches it but in the first question take away the y after the 25. number 2 the start equation would be 55=2x+25 then you would subtract 25 from each side to get 30=2x, the divide by to to get x=15 or she made 15 calls. number 3 is correct.

i hope this helps

8 0
1 year ago
Please help!!! Need help ASAP!
DIA [1.3K]

Answer:

ag=74 and ed=83

Step-by-step explanation:

super simple actually

3 0
3 years ago
$3 is what percent of $40
givi [52]
It is 7.5% of 40, hope this helps you
6 0
2 years ago
Read 2 more answers
Free pts!! Have a great day!
alukav5142 [94]

<em><u>Thanks !</u></em>

<em><u>Have a great day you too !! </u></em>

4 0
3 years ago
Other questions:
  • How to solve this problem step by step. Make brainliest answer if its done. Please
    10·1 answer
  • Help !! :'(<br> I shall crown you top math genius
    15·1 answer
  • What is the 4th term in the sequence? <br><br> C(1)=56<br> C(n)= c(n-1)•1/2
    13·1 answer
  • Lara wants to inscribe a square in a circle using only a compass and straightedge. She will first construct a circle and locate
    11·1 answer
  • Which equation represents the average of the x-intercepts for 4x^2-24x+20
    5·1 answer
  • A line passes through the point (6,1)and has a slope of 3/2. write an equation in slope intercept form
    12·2 answers
  • PLEASE HELP! I WILL MAKE YOU BRAINLIST!
    15·1 answer
  • A​ company's stock began the day at ​$25.28 per share. That price drops by ​$1.16 each hour. A. What is the price per share afte
    14·1 answer
  • A piston is seated at the top of a cylindrical chamber with radius 5 cm when it starts moving into the chamber at a constant spe
    15·1 answer
  • A single 6-sided die is rolled. What is the probability of rolling a 2 or a 5? *
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!