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
scZoUnD [109]
3 years ago
6

The null and alternate hypotheses are: H0: ????1 ???? ????2 H1: ????1 ???? ????2 A random sample of 15 observations from the fir

st population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard devi- ation of 15. At the .10 significance level, is there a difference in the population means?
Mathematics
1 answer:
bija089 [108]3 years ago
5 0

Answer:

t=\frac{(350-342)-0}{\sqrt{\frac{12^2}{15}+\frac{15^2}{17}}}}=1.674  

The degreess of freedom are given by:

df = 15+12-2 =25

Now we can calculate the p value with the following probability:

p_v =2*P(t_{25}>1.674)=0.107  

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

Information provided

\bar X_{1}=350 represent the mean for sample 1  

\bar X_{2}=342 represent the mean for sample 2  

s_{1}=12 represent the sample standard deviation for 1  

s_{2}=15 represent the sample standard deviation for 2  

n_{1}=15 sample size for the group 2  

n_{2}=17 sample size for the group 2  

\alpha=0.1 Significance level provided

t would represent the statistic

Hypothesis to test

We want to verify if the true means for this case are significantly different, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

The statistic is given by:

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=15+17-2=30  

Replacing the info given we got:

t=\frac{(350-342)-0}{\sqrt{\frac{12^2}{15}+\frac{15^2}{17}}}}=1.674  

The degreess of freedom are given by:

df = 15+12-2 =25

Now we can calculate the p value with the following probability:

p_v =2*P(t_{25}>1.674)=0.107  

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

You might be interested in
Brandon checked his bank account online and saw that he had a -$15 balance so he made a deposit.Now his balance is $67.Find d, t
kirill115 [55]

Answer:

82

Step-by-step explanation:

4 0
3 years ago
What is the measure of ABC?
MaRussiya [10]

Answer:

D i think

Step-by-step explanation:

3 0
3 years ago
Determine the slope of the graph of the linear<br> equation y = -3/7x + 5.
Mashutka [201]
The -3/7 would be slope because it is also the one with the x
5 0
3 years ago
What is the acceleration due to gravity of a planet where a mass of 45.0 kg has a weight of
AnnZ [28]

Answer:

Normally, Acceleration due to gravity is

9.8m/s^2\\

or

10m/s^2

Step-by-step explanation:

From the web

These two laws lead to the most useful form of the formula for calculating acceleration due to gravity: g = G*M/R^2, where g is the acceleration due to gravity, G is the universal gravitational constant, M is mass, and R is distance

6 0
3 years ago
What can be said about the relationships between triangles and circles? Check all that apply.
ycow [4]

Answer:

The answers are:

A. Exactly one circle can be inscribed in a given triangle.

C. Many triangular shapes can be circumscribed about a given circle.

Step-by-step explanation:

I just took the quiz as well. Good luck!

3 0
3 years ago
Other questions:
  • Please help right away!!!
    14·2 answers
  • Lamar puts 3 cantaloupes that each weigh 2 pounds onto a scale. He adds 3 bunches of bananas that each have the same weight to t
    5·2 answers
  • Is 0.111... a repeating decimal, terminating decimal, or neither?
    13·2 answers
  • Write 0.000038 in scientific notation.
    6·2 answers
  • Show every subspace of r^2 is an r^2[x] submodule for rotation of pi radians
    11·1 answer
  • Which inequality is represented by the graph y&gt;-2/3x+1 y&lt;-2/3x+1 y&lt;-3/2x+1 y&gt;-3/2x+1
    10·1 answer
  • PLZ NEED HELP Reduce this algebraic fraction.y^3-3y^2+y-3/y^2-9
    10·1 answer
  • George earned $50
    5·1 answer
  • Write a real-world problem that could be represented by 5x+ 30 ≥ 90.
    12·2 answers
  • What is the value of x?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!