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
jeyben [28]
3 years ago
7

Use the t-distribution and the sample results to complete the test of the hypotheses. Use a significance level. Assume the resul

ts come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.Test H0: μ= 4 vs Ha: μ≠4 using the sample results x= 4.8, s= 2.3, with n= 15.Give the test statistic and the p-value.
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0

Answer:

Test statistic = 1.3471

P-value = 0.1993

Accept the null hypothesis.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 4

Sample mean, \bar{x} = 4.8

Sample size, n = 15

Alpha, α = 0.05

Sample standard deviation, s = 2.3

First, we design the null and the alternate hypothesis

H_{0}: \mu = 4\\H_A: \mu \neq 4

We use two-tailed t test to perform this hypothesis.

Formula:

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

Putting all the values, we have

t_{stat} = \displaystyle\frac{4.8 - 4}{\frac{2.3}{\sqrt{15}} } = 1.3471

Now, we calculate the p-value.

P-value = 0.1993

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.

You might be interested in
How to find the surface area of a triangular prism using net?
Mazyrski [523]

A net is a pattern made when the surface of a three-dimensional figure or solid is laid out flat showing each face of the figure. It is then possible to use the net to calculate the surface area of the solid.

Surface Area of a Cube using Nets

A cube is a three-dimensional figure with six matching square faces.

8 0
3 years ago
Principal, $3000; Annual interest rate, 5.4%; time, 4 years<br> The Balance after 4 years is?
Neporo4naja [7]

Answer: 777600

Step-by-step explanation:

you times 12 by 4 then you times 3000 by 5.4 and add the two answers

3 0
3 years ago
If a seed is planted, it has a 80% chance of growing into a healthy plant.
AlladinOne [14]

Answer:

0.336

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, n = 8, r = 7, p = 0.8, and q = 0.2.

P = ₈C₇ (0.8)⁷ (0.2)⁸⁻⁷

P = 0.336

3 0
3 years ago
HELP PLSSS AND THXXX
Harlamova29_29 [7]

Answer:312cm. Squared I think

Step-by-step explanation:

3 0
3 years ago
Leslie found the volume of a cone having both a height
Mademuasel [1]

Answer:

D.No, she forgot to take one-third of the base area times height.

Step-by-step explanation:

I just did it and its right.

6 0
3 years ago
Read 2 more answers
Other questions:
  • 0.91÷6.734 this was similar than the other question can you guys help me please
    5·1 answer
  • The local cafe uses 510 cups of mixed vegetables to make 1000 quarts of beef barley soup. Each quart of soup contains the same a
    14·1 answer
  • Your dinner total is $29.50. If you give 18% tip, how much would you leave?
    10·1 answer
  • What is the common difference, d, of the sequence? -94, -74, -56, -20, ...<br><br><br> pls help me!
    9·1 answer
  • A rectangular area of 2,000 square feet is to be fenced on three sides with fence costing $0.30 per foot and on the fourth side
    15·2 answers
  • In ABC, and intersect each other at point Q. According to a theorem on medians, Q divides in the ratio 2 : 1. What are the coord
    8·1 answer
  • At the theater, Fred purchased x popcorns and y drinks. He spent a total of $26. The equation below describes the relationship b
    7·2 answers
  • Which sign will you put in between [ 120 ……… (3 / 11) ], so that the answer is the highest number
    11·1 answer
  • 1. Anil runs around a square park of side 90 m. Rohan runs around a rectangular
    5·1 answer
  • According to recent UN figures, the annual gun homicide rate is 62.4 per one million residents in the US and 1.3 per one million
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!