Consider the following hypotheses: H0: μ ≥ 100 HA: μ < 100 The population is normally distributed. A sample produces the following observations: 95 99 85 80 98 97 Conduct the test at the 1% level of significance. (You may find it useful to reference the appropriate table: z table or t table) a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b. Find the p-value. multiple choice 1 p-value < 0.01 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10 c. What is the conclusion? multiple choice 2 Reject H0 since the p-value is less than the significance level. Reject H0 since the p-value is greater than the significance level. Do not reject H0 since the p-value is less than the significance level. Do not reject H0 since the p-value is greater than the significance level. d. Interpret the results α= 0.01. multiple choice 3 We conclude that the population mean is less than 100. We cannot conclude that the population mean is less than 100. We conclude that the population mean is greater than 100. We cannot conclude that the population mean is greater than100.

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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Consider the following hypotheses:

H₀: μ ≥ 100
H_A: μ < 100

The population is normally distributed. A sample produces the following observations:


95	99	85	80	98	97

Conduct the test at the 1% level of significance. (You may find it useful to reference the appropriate table: z table or t table)

a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

b. Find the p-value.

multiple choice 1

p-value < 0.01
0.01 ≤ p-value < 0.025
0.025 ≤ p-value < 0.05
0.05 ≤ p-value < 0.10
p-value ≥ 0.10

c. What is the conclusion?

multiple choice 2

Reject H₀ since the p-value is less than the significance level.
Reject H₀ since the p-value is greater than the significance level.
Do not reject H₀ since the p-value is less than the significance level.
Do not reject H₀ since the p-value is greater than the significance level.

d. Interpret the results α= 0.01.

multiple choice 3

We conclude that the population mean is less than 100.
We cannot conclude that the population mean is less than 100.
We conclude that the population mean is greater than 100.
We cannot conclude that the population mean is greater than100.

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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