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
Please help I need to do this ASAP!!
labwork [276]
Yah I can’t see it either
8 0
2 years ago
Apartment A has a security deposit of $1000 and cost $1200 each month. Apartment B has a $1500 security deposit and cost $1175 e
Rom4ik [11]
1000 + 1200m = 1500 + 1175m
1200m - 1175m = 1500 - 1000
25m = 500
m = 500/25
m = 20 <== they are the same at 20 months...they will both be 25,000
7 0
3 years ago
Help please ‼️‼️‼️‼️
Andrei [34K]

Answer:

I got (y-7)=1/13(x+6) for point slope

and y=1/3x+13 for slope intercept form

double check me though I'm new at this

3 0
2 years ago
TVs are measured by
kondor19780726 [428]

Answer:

Step-by-step explanation:

Diagonal is 60 inches, height is 24 inches so

60^2 = 24^2 + width^2

6.25 inches

4 0
2 years ago
For an angle θ, tan(θ) is a negative number. Which quadrants might θ be in?
Klio2033 [76]

So for this question, we're asked to find the quadrant in which the angle of data lies and were given to conditions were given. Sign of data is less than zero, and we're given that tangent of data is also less than zero. Now I have an acronym to remember which Trig functions air positive in each quadrant. . And in the first quadrant we have that all the trig functions are positive. In the second quadrant, we have that sign and co seeking are positive. And the third quadrant we have tangent and co tangent are positive. And in the final quadrant, Fourth Quadrant we have co sign and seeking are positive. So our first condition says the sign of data is less than zero. Of course, that means it's negative, so it cannot be quadrant one or quadrant two. It can't be those because here in Quadrant one, we have that all the trick functions air positive and the second quadrant we have that sign. If data is a positive, so we're between Squadron three and quadrant four now. The second condition says the tangent of data is also less than zero now in Quadrant three. We have that tangent of data is positive, so it cannot be quadrant three, so our r final answer is quadrant four, where co sign and seek in are positive.  

4 0
2 years ago
Read 2 more answers
Other questions:
  • Find the value in this equation 16y=164
    6·1 answer
  • 25/160 into a decimal??
    6·2 answers
  • In the figure shown, what is the measure of angle x?
    9·2 answers
  • 20 pts and a mark!!! A store is having a sale on jelly beans and trail mix. For 6 pounds of jelly beans and 2 pounds of trail mi
    7·1 answer
  • If Carnival Cruise Lines increased the price of its seven-day cruise package by 10 percent and, as a result, experienced a 20 pe
    8·1 answer
  • The table shows the educational attainment of the population of​ Mars, ages 25 and​ over, expressed in millions. Find the probab
    10·1 answer
  • Find the value of x and y in the triangles below
    13·1 answer
  • Can someone please help me with this question please?
    7·1 answer
  • Please helpppppppppp me out
    6·2 answers
  • Nvm don't answer this
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!