A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the α=0.01 level of significance? Carpeted Uncarpeted 7.4 5.6 12.3 5.8 11 7 12.5 9.4 8.9 2 10.2 6.9 13.2 2.9 6.1 2.3 What are the null and alternative hypotheses? sigma Subscript no carpetσno carpet Part 2 Calculate the test statistic, t0. t0= (Round to 2 decimals) Part 3 Approximate the P-value. Choose the correct answer below. A.0.05 less than or equals Upper P dash value less than 0.10 0.05≤P-value<0.10 B.0.01 less than or equals Upper P dash value less than 0.05 0.01≤P-value<0.05 C.Upper P dash value greater than or equals 0.10 P-value≥0.10 D.Upper P dash value less than 0.01 P-value<0.01 Part 4 Do carpeted rooms have more bacteria than uncarpeted rooms at the α=0.01 level of significance? A. No, because the P-value is greater than or equal to the level of significance. B. No, because the P-value is less than the level of significance. C. Yes, because the P-value is less than the level of significance. D. Yes, because the P-value is greater than or equal to the level of significance.

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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Carpeted Uncarpeted
7.4 5.6
12.3 5.8
11 7
12.5 9.4
8.9 2
10.2 6.9
13.2 2.9
6.1 2.3

What are the null and alternative hypotheses?

sigma Subscript no carpetσno carpet

Part 2

Calculate the test statistic, t0.

t0=

(Round to 2 decimals)

Part 3

Approximate the P-value. Choose the correct answer below.

A.0.05 less than or equals Upper P dash value less than 0.10

0.05≤P-value<0.10

B.0.01 less than or equals Upper P dash value less than 0.05

0.01≤P-value<0.05

C.Upper P dash value greater than or equals 0.10

P-value≥0.10

D.Upper P dash value less than 0.01

P-value<0.01

Part 4

Do carpeted rooms have more bacteria than uncarpeted rooms at the

α=0.01

level of significance?

A. No, because the P-value is greater than or equal to the level of significance.

B. No, because the P-value is less than the level of significance.

C. Yes, because the P-value is less than the level of significance.

D. Yes, because the P-value is greater than or equal to the level of significance.

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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