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
Brilliant_brown [7]
3 years ago
10

A random sample of 100 observations from a quantitative population produced a sample mean of 22.8 and a sample standard deviatio

n of 8.3.
Use the p-value approach to determine whether the population mean is different from 24.

Explain your conclusions. (Use α = 0.05.)

State the null and alternative hypotheses. H0: μ = 24 versus Ha: μ ≠ 24 H0: μ = 24 versus Ha: μ > 24 H0: μ ≠ 24 versus Ha: μ = 24 H0: μ = 24 versus Ha: μ < 24 H0: μ < 24 versus Ha: μ > 24

Find the test statistic and the p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.) z = p-value = State your conclusion.
Mathematics
1 answer:
natima [27]3 years ago
7 0

Answer:

We conclude that the population mean is 24.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 24

Sample mean, \bar{x} = 22.8

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 8.3

First, we design the null and the alternate hypothesis

H_{0}: \mu = 24\\H_A: \mu \neq 24

We use Two-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{22.8 - 24}{\frac{8.3}{\sqrt{100}} } = -1.44

We calculate the p-value with the help of standard z table.

P-value = 0.1498

Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.

Now, z_{critical} \text{ at 0.05 level of significance } = \pm 1.96

Since,  the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.

You might be interested in
12 2/3 ^ 2 1/3what is 12 2/3 divided by 2 1/3 ​
Semmy [17]

Answer:

(12 2/3)/( 2 1/3)= 38/7 or 5 3/7 or 5.43 decimal

Step-by-step explanation:

Simplify the following:

(12 + 2/3)/(2 + 1/3)

Put 2 + 1/3 over the common denominator 3. 2 + 1/3 = (3×2)/3 + 1/3:

(12 + 2/3)/((3×2)/3 + 1/3)

3×2 = 6:

(12 + 2/3)/(6/3 + 1/3)

6/3 + 1/3 = (6 + 1)/3:

(12 + 2/3)/((6 + 1)/3)

6 + 1 = 7:

(12 + 2/3)/(7/3)

Put 12 + 2/3 over the common denominator 3. 12 + 2/3 = (3×12)/3 + 2/3:

((3×12)/3 + 2/3)/(7/3)

3×12 = 36:

(36/3 + 2/3)/(7/3)

36/3 + 2/3 = (36 + 2)/3:

((36 + 2)/3)/(7/3)

36 + 2 = 38:

(38/3)/(7/3)

Multiply the numerator by the reciprocal of the denominator, (38/3)/(7/3) = 38/3×3/7:

(38×3)/(3×7)

(38×3)/(3×7) = 3/3×38/7 = 38/7:

Answer:  38/7

8 0
2 years ago
A 128-ounce jug of milk costs $3.20, and a 64-ounce jug of milk costs $2.24. What is the difference in cost per ounce between th
klasskru [66]

Answer:

The 64 ounce jug of milk costs $0.010 more per ounce than the 128 ounce jug of milk/

Step-by-step explanation:

3.20/128=$0.025 per ounce jug of milk

2.24/64=$0.035 per ounce jug of milk

0.035 - 0.025 = .010

5 0
3 years ago
According to a survey of​ workers,6/50 of them walk to​ work,1/50 ​bike, ​10/50 carpool, and 33/50 drive alone. What percent of
Ivenika [448]

Answer:

14%

Step-by-step explanation:

3 0
3 years ago
What is the value of y when the value of x is 1 Car mileage for a hybrid car
Svetllana [295]

Answer: 60

Step-by-step explanation:

Just got the wrong answer to see what it was

8 0
3 years ago
You and some of your friends go to Six Flags. There, tickets are only $2 per
lora16 [44]

Answer:

Yes, it graphs easily.

Step-by-step explanation:

First of all we can see that is proportional and is positive, due to no powers being present, and the slope being positive. If you want the equation we first have to remember it is in y=ax+b form, using the problem we can see that the admission, or constant is 5, and the slope is 2. Then we plug in the numbers and get y=2x+5, and seeing that there is a small admission fee, we are forced to start at 5$. Therefore the answer is Yes, it graphs easily.

5 0
3 years ago
Read 2 more answers
Other questions:
  • What conclusion can you make from the Euler diagram?<br>(I think D)
    7·1 answer
  • Plss help quick its easy
    8·1 answer
  • The stopping distance d of an automobile is directly proportional to the square of its speed s. On one road, a car requires 75 f
    15·1 answer
  • Find the lengths of the missing sides. If the length is irrational, round to the nearest tenth. ​
    15·2 answers
  • Use the Distributive Property to write 2(-5+3) as an equivalent expression.
    12·1 answer
  • To create a unique house paint color, Melton mixes together a sample that is 12 gallons of red, 2.5 gallons of yellow and 0.5 ga
    5·2 answers
  • Please help me with this. Thanks!
    14·1 answer
  • ________ probability is based on a uniform probability. Ask yourself: What SHOULD happen when you conduct an experiment?
    12·1 answer
  • City planners want to construct a bike path perpendicular to Lome Lane at point P. An equation for the Lome Lane line is
    14·1 answer
  • Change 3.7 hours into hours and minutes
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!