eight males to participate in a study to determine whether the reaction time (in seconds) for females is less than the reaction time for males. The results were as followed: Female 0.588 Male 0.375 0.340 0.654 0.377 0.374 0.380 0.373 0.652 0.224 0.636 0.256 0.646 0.563 0.403 0.465 Using a significance level of 0.01, test the claim that the reaction time of females is less than the reaction time of males

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Researchers randomly selected eight females and eight males to participate in a study to determine whether
the reaction time (in seconds) for females is less than the reaction time for males. The results were as
followed:
Female
Male
0.588
0.375
0.340
0.654
0.377
0.374
O reject
Check
0.380
0.373
b.) What type of hypothesis test is being performed?
left-tailed
Oright-tailed
a.) State the null and alternative hypothesis using correct symbolic form.
Ho: μ = 0.01 and H₁: p > 0.01
O Ho: H1
H2 and H₁: ₁ > 2
Ho: H1 H₂ and H₁: ₁ <H₂
Ho: μ = 0.01 and H₁: μ< 0.01
Using a significance level of 0.01, test the claim that the reaction time of females is less than the reaction
time of males.
Let the sample of females represent population 1, and the sample of males represent population 2.
c.) What is the p-value? (round to four decimal places)
p-value is
0.652
0.224
d.) Should we reject or fail to reject the null hypothesis?
fail to reject
0.636
0.256
0.646
0.563
Otwo-tailed
0.403
0.465
Transcribed Image Text:Researchers randomly selected eight females and eight males to participate in a study to determine whether the reaction time (in seconds) for females is less than the reaction time for males. The results were as followed: Female Male 0.588 0.375 0.340 0.654 0.377 0.374 O reject Check 0.380 0.373 b.) What type of hypothesis test is being performed? left-tailed Oright-tailed a.) State the null and alternative hypothesis using correct symbolic form. Ho: μ = 0.01 and H₁: p > 0.01 O Ho: H1 H2 and H₁: ₁ > 2 Ho: H1 H₂ and H₁: ₁ <H₂ Ho: μ = 0.01 and H₁: μ< 0.01 Using a significance level of 0.01, test the claim that the reaction time of females is less than the reaction time of males. Let the sample of females represent population 1, and the sample of males represent population 2. c.) What is the p-value? (round to four decimal places) p-value is 0.652 0.224 d.) Should we reject or fail to reject the null hypothesis? fail to reject 0.636 0.256 0.646 0.563 Otwo-tailed 0.403 0.465
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