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
Anni [7]
4 years ago
6

Consider the following hypothesis test:

Mathematics
1 answer:
Gnom [1K]4 years ago
8 0

Answer:

a. z=3.09. Yes, it can be concluded that the population mean is greater than 50.

b. z=1.24. No, it can not be concluded that the population mean is greater than 50.

c. z=2.22. Yes, it can be concluded that the population mean is greater than 50.

Step-by-step explanation:

We have a hypothesis test for the mean, with the hypothesis:

H_0: \mu\leq50\\\\H_a:\mu> 50

The sample size is n=55 and the population standard deviation is 6.

The significance level is 0.05.

We can calculate the standard error as:

\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{55}}=0.809

For a significance level of 0.05, the critical value for z is zc=1.644. If the test statistic is bigger than 1.644, the null hypothesis is rejected.

a. If the sample mean is M=52.5, the test statistic is:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{52.5-50}{0.809}=\dfrac{2.5}{0.809}=3.09

The null hypothesis is rejected, as z>zc and falls in the rejection region.

b. If the sample mean is M=51, the test statistic is:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51-50}{0.809}=\dfrac{1}{0.809}=1.24

The null hypothesis failed to be rejected, as z<zc and falls in the acceptance region.

c. If the sample mean is M=51.8, the test statistic is:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51.8-50}{0.809}=\dfrac{1.8}{0.809}=2.22

The null hypothesis is rejected, as z>zc and falls in the rejection region.

You might be interested in
Olive estimated it will take about 50 gallons of gas for the whole trip. Use the he equation to determine how much we will spend
Westkost [7]

Answer:

$175

Step-by-step explanation:

3.5 x 50 = $175

8 0
3 years ago
13. Pete traveled 1,380 miles in two days. The first day, he traveled 1.5 times as far as he did the second day. How many miles
ArbitrLikvidat [17]
 i think it would be a. 920
5 0
3 years ago
Read 2 more answers
Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. She has 287 tickets from a previous vi
Zarrin [17]

if y=367

then you need to figure out this:

367=5x+287

so remove 287 from 367

367-287=80

Then divide by 5

80/5=16

so, x=16

4 0
3 years ago
Read 2 more answers
Can someone help me I don't know how to do this!! Thank you
sdas [7]
The answer is 1 2/3 hope this helped

6 0
3 years ago
You are standing 15 ft away from a tree. The angle of elevation from the groumd where you are standing to the top of a tree is 5
Allushta [10]

Answer:

the height of the tree is 19.2 ft

Step-by-step explanation:

Given;

distance from the foot of the tree, d = 15 ft

angle of elevation; θ = 52°

let the height of the tree = h

Make a sketch of the problem as follows;

                                  ↑

                                  ↑ h

     52°---------------------

                  15 ft

If completed to form a right triangle by adding the hypotenuse side, we can calculate the height of the tree as follows;

tan (52)=  \frac{h}{15} \\\\h = 15 \times tan(52)\\\\h = 19.2 \ ft

Therefore, the height of the tree is 19.2 ft

4 0
3 years ago
Other questions:
  • Please help!!!! got to do this for math
    6·1 answer
  • 4m 8m find the area asap
    11·2 answers
  • a math placement test has a mean of 42 and standard deviation of 5. the english replacement test has a mean of 64 and standard d
    13·1 answer
  • Translate this sentence into an algebraic equation.
    8·2 answers
  • What is the height of the can?
    14·1 answer
  • Daniel has a coupon for $1.44 off
    12·1 answer
  • Help me please i need help
    6·2 answers
  • What is the present value of $6,000 to be received at the end of 6 years if the discount is 12%
    9·2 answers
  • How many unique three-letter sequences can be made from the word COMBINATORICS where no 2 letters can be the same?
    5·2 answers
  • 1930 to the nearest 1000​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!