A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At α=0.10, is there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. Mouse 1 2 3 4 5 6 Weight (before) 19.3 19.5 23.1 20.4 21.3 19.2 Weight (after) 17.9 18.8 22.4 20.0 20.3 17.9 Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. What is the claim? A. Pneumonia causes weight loss in mice. B. Weight gain causes pneumonia in mice. C. Weight loss causes pneumonia in mice. D. Pneumonia causes weight gain in mice. Part 2 Let μd be the hypothesized mean of the difference in the weights (before−after). What are H0 and Ha? A. H0: μd≤0 Ha: μd>0 B. H0: μd≥d Ha: μdd D. H0: μd=0 Ha: μd≠0 E. H0: μd≠0 Ha: μd=0 F. H0: μd≥0 Ha: μd<0 Part 3 (b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in any answer boxes to complete your choice. (Round to three decimal places as needed.) A. tenter your response here C. t>enter your response here Part 4 (c) Calculate d and sd. d=enter your response here (Round to three decimal places as needed.) Part 5

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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Mouse	1	2	3	4	5	6
Weight (before)	19.3	19.5	23.1	20.4	21.3	19.2
Weight (after)	17.9	18.8	22.4	20.0	20.3	17.9

Question content area bottom

Part 1

(a) Identify the claim and state

and

Ha.

What is the claim?

Pneumonia causes weight loss in mice.

Weight gain causes pneumonia in mice.

Weight loss causes pneumonia in mice.

Pneumonia causes weight gain in mice.

Part 2

Let

μd

be the hypothesized mean of the difference in the weights

(before−after).

What are

and

Ha?

H0:

μd≤0

Ha:

μd>0

H0:

μd≥d

Ha:

μd<d

H0:

μd≤d

Ha:

μd>d

H0:

μd=0

Ha:

μd≠0

H0:

μd≠0

Ha:

μd=0

H0:

μd≥0

Ha:

μd<0

Part 3

(b) Find the critical value(s) and identify the rejection region(s).

Select the correct choice below and fill in any answer boxes to complete your choice.

(Round to three decimal places as needed.)

t<enter your response here

t>enter your response here

Part 4

and

sd.

d=enter your response here

(Round to three decimal places as needed.)

Part 5

Calculate

sd.

sd=enter your response here

(Round to three decimal places as needed.)

Part 6

(d) Find the standardized test statistic t.

t=enter your response here

(Round to three decimal places as needed.)

Part 7

(e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.

▼

Reject

Fail to reject

the null hypothesis. There

▼

is not

enough evidence to

▼

reject

support

the claim that

▼

weight loss

pnuemonia

weight gain

causes

▼

pnuemonia

weight gain

weight loss

in mice.

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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