Consider the following hypothesis statement using α=0.01 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b. H0: μ1−μ2=0 x1=14.5 x2=13.0 H1: μ1−μ2≠0 s1=2.6 s2=3.2 n1=23 n2=19 Question content area bottom Part 1 a. Calculate the appropriate test statistic and interpret the result. The test statistic is enter your response here. (Round to two decimal places as needed.) Part 2 The critical value(s) is(are) enter your response here. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Part 3 Because the test statistic ▼ falls within the critical values, is less than the critical value, does not fall within the critical values, is greater than the critical value, ▼ reject do not reject the null hypothesis. Part 4 b. Identify the p-value from part a and interpret the result. The p-value is enter your response here. (Round to three decimal places as needed.) Part 5 Interpret the result. Choose the correct answer below. A. Since the p-value is not less than the significance level, do not reject the null hypothesis. B. Since the p-value is less than the significance level, reject the null hypothesis. C. Since the p-value is not less than the significance level, reject the null hypothesis. D. Since the p-value is less than the significance level, do not reject the null hypothesis.

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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Question

Consider the following hypothesis statement using α=0.01 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b.
H0: μ1−μ2=0
x1=14.5
x2=13.0
H1: μ1−μ2≠0
s1=2.6
s2=3.2
n1=23
n2=19
Question content area bottom
Part 1
a. Calculate the appropriate test statistic and interpret the result.
The test statistic is enter your response here.
(Round to two decimal places as needed.)
Part 2
The critical value(s) is(are) enter your response here.
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Part 3
Because the test statistic
▼
falls within the critical values,
is less than the critical value,
does not fall within the critical values,
is greater than the critical value,

▼
reject
do not reject
the null hypothesis.
Part 4
b. Identify the p-value from part a and interpret the result.
The p-value is enter your response here.
(Round to three decimal places as needed.)
Part 5
Interpret the result. Choose the correct answer below.
A.
Since the p-value is not less than the significance level, do not reject the null hypothesis.
B.
Since the p-value is less than the significance level, reject the null hypothesis.
C.
Since the p-value is not less than the significance level, reject the null hypothesis.
D.
Since the p-value is less than the significance level, do not reject the null hypothesis.

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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