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]
3 years ago
6

Consider the following hypothesis test:

Mathematics
1 answer:
Gnom [1K]3 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
Geometry Help Please
Lunna [17]
Its B because B is the one that gives you most of the detail
4 0
3 years ago
SOMEONE PLEASE HELP ME WITH THIS I NEED IT!!!
QveST [7]

Answer:

to be entirely honest i do not know

Step-by-step explanation:

5 0
2 years ago
What is the denominator of zero
Snowcat [4.5K]

Answer:Any number

Step-by-step explanation:

3 0
2 years ago
Brandon buys a radio for 48.43 dollars in a state where the sales tax is 7% ​
Elza [17]

Answer:

Given : Brandon buys a radio for $43.99 .sales tax  rate is 7%.sales tax is a consumption tax imposed by the government on the sale of goods and services.

Let the price of Radio before the sales tax be $x. Sales tax on $x is 7% x.

Price before sales tax + Amount of sales tax= Cost of Radio.

x+7%x =43.99

Or x+0.07x=43.99

1.07x=43.99

Dividing both sides by 1.07.

x= 41.11

Cost of Radio before tax = $41.11

Sales tax paid = 43.99-41.11= 2.88

Tax paid = $2.90 (To the nearest cent)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Write the word sentence as an equation.<br> The quotient of two times a number k and -2.6 is 12\
MArishka [77]
2k/-2.6=12 is the word sentences as an equation
5 0
2 years ago
Other questions:
  • What is the multiplicative inverse of 37/53 ?
    12·2 answers
  • Suppose every student in a class is surveyed and it is reported that​ 75% of the class plans to take another math class. Is this
    13·1 answer
  • The system of equations shown below is graphed on a coordinate grid:
    15·1 answer
  • How do you write y-3=5(4-x) in standard form
    8·1 answer
  • Help plz my teacher won't help
    14·1 answer
  • Find a transformation of sin(x) that gives the following <br><br> a. <br><br> b.
    5·1 answer
  • Any help with an explanation would be appreciated!
    8·1 answer
  • You are at a restaurant and your bill comes to $28.52. You need to add the sales tax which is 6%. You have one $20 bill, two $10
    15·1 answer
  • Rays QR and QS are tangents to circle P at R and S. If Q measures to 54°, find RS
    12·1 answer
  • If x = 12, which equation is true?A-27 + 2x = 51B5(x + 7) = 45C 3(25) - x = 39D 3(25 - x) = 39
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!