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
ella [17]
3 years ago
9

Tensile-strength tests were carried out on two different grades of wire rod. Grade 1 has 10 observations yielding a sample mean

of 1085 and standard deviation of 52. Grade 2 has 15 observations yielding a sample mean of 1034 and standard deviation of 61. Assume the populations to be approximately normal with equal variances.
State and conclude your hypothesis at the 0.05 level of significance if grade 1 and grade 2 true means are equal each other?

Find P-Value.
Mathematics
1 answer:
LuckyWell [14K]3 years ago
8 0

Answer:

t = \frac{1085-1034}{\sqrt{\frac{52^2}{10} +\frac{61^2}{15}}} = 2.240

df = n_1 +n_2 -2 = 10+15-2= 23

p_v = 2*P(t_{23} >2.240) = 0.035

Since the p value is lower than the significance level we have enough evidence to conclude that the true means are different at 5% of significance

Step-by-step explanation:

Data given

\bar X_1 = 1085 sample mean for group 1

\bar X_2 = 1034 sample mean for group 2

n_1 = 10 sample size for group 1

n_2 = 15 sample size for group 2

s_1 = 52 sample deviation for group 1

s_2 = 61 sample deviation for group 2

Solution

We want to check if the two means are equal so then the system of hypothesis are:

Null hypothesis: \mu_1= \mu_2

Alternative hypothesis: \mu_1 \neq \mu_2

And the statistic is given by:

t = \frac{\bar X_1 -\bar X_2}{\sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}}

And replacing we got:

t = \frac{1085-1034}{\sqrt{\frac{52^2}{10} +\frac{61^2}{15}}} = 2.240

The degrees of freedom are given by:

df = n_1 +n_2 -2 = 10+15-2= 23

And the p value would be:

p_v = 2*P(t_{23} >2.240) = 0.035

Since the p value is lower than the significance level we have enough evidence to conclude that the true means are different at 5% of significance

You might be interested in
tara has made 120 cookies for the sale and has one more day to bake, taras pan allows her to bake 18 cookies per batch. tara can
blagie [28]
So... What is the question?
6 0
3 years ago
There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 233.5 grams of this cereal,
diamong [38]

Answer:

145

Step-by-step explanation:

110÷177.4=.62 cal per gram

.62×233.5=145 rounded

7 0
3 years ago
20 POINTS PLS HALP!!!
Morgarella [4.7K]

Answer:

number of people / land area = population density

57,714 / 836,109 ≈ 0.07 people/mi^2

3 0
3 years ago
Read 2 more answers
Number 8 Please!!!!!<br> Thank You!!!
lbvjy [14]

Answer:

x = 2 + 5i√2 / 6 and x = 2 - 5i√2 / 6

Step-by-step explanation:

If this isn't right, I'm sorry. Also, you can put x = 2 ± 5i√2 /6 to make it shorter and not have two answers. Hope this helps :)

4 0
2 years ago
he has 14 coins and 2 one-dollar bills. witch describes the relationship between the coin and the dollar bills?
polet [3.4K]

Answer:

14:2

Step-by-step explanation:

1 coin is one part, one bill is one part

14:2

5 0
3 years ago
Read 2 more answers
Other questions:
  • Work out the value of 2a + ay when a= 5 and y= -3
    11·2 answers
  • I could use alot of help on this please and thankyouuuu
    12·1 answer
  • what is this movie movie about a woman who gets robbed by men. calls the police but for some reason the police cant show up so t
    12·2 answers
  • PLS HELP ME WITH 8. 3, 4, and 5 (SHOW WORKKK!!)
    12·2 answers
  • To babysit one child, Fernando charges $10 to drive to the appointment plus $4 per hour. He saves 30% of the total amount he ear
    11·2 answers
  • How do change 10/4 into a mixed number
    6·2 answers
  • Javier designs leather shoes at his workshop. He charges $45 for women's shoes and $50 for men's shoes. He needs to make $2,500
    12·1 answer
  • Sin(-x)=-sinx for all values x​
    9·2 answers
  • Someone please help !!
    6·2 answers
  • Lin runs 5 laps around a track in 6 minutes, if Lin runs 21 laps at the same rate, how long does it take her?​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!