Answered: A sımple random sample of Size n= 15 is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Part 1

(a) Determine the null and alternative hypotheses.

Upper H 0

▼

sigma

▼

less than

greater than

equals

not equals

Upper H 1

▼

sigma

▼

not equals

greater than

equals

less than

Part 2

(b) Calculate the P-value.

P-valueequals

enter your response here

(Round to three decimal places as needed.)

Part 3

Reject

Upper H 0

because the P-value is

less than

the

alpha

equals0.01

level of significance.

Reject

Upper H 0

because the P-value is

greater than

the

alpha

equals0.01

level of significance.

Do not reject

Upper H 0

because the P-value is

greater than

the

alpha

equals0.01

level of significance.

Do not reject

Upper H 0

because the P-value is

less than

the

alpha

equals0.01

level of significance.

Part 4

(d) State the conclusion in context of the problem.

There

▼

is not

sufficient evidence at the

alpha equals 0.01

level of significance to conclude that the population mean is different from

A simple random sample of size n= 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 27.1 and
sample standard deviation is found to bes = 6.3. Determine if the population mean is different from 24 at the a = 0.01 level of significance.
Complete parts (a) through (d) below.
(a) Determine the null and alternative hypotheses.
Ho:
24
H1:
V24
(b) Calculate the P-value.
P-value =
(Round to three decimal places as needed.)
(c) State the conclusion for the test.
O A. Reject Ho because the P-value is less than the a = 0.01 level of significance.
B. Reject Ho because the P-value is greater than the a = 0.01 level of significance.
C. Do not reject Ho because the P-value is greater than the a = 0.01 level of significance.
D. Do not reject H, because the P-value is less than the a = 0.01 level of significance.
(d) State the conclusion in context of the problem.
There
sufficient evidence at the a = 0.01 level of significance to conclude that the population mean is different from 24.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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