What is the p-value of the observed test statistic you have just computed, for the appropriate hypothesis test? d)The p-value suggests that there is strong evidence against the null hypothesis. Select one:

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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c)

What is the p-value of the observed test statistic you have just computed, for the appropriate hypothesis test?

d)The p-value suggests that there is strong evidence against the null hypothesis.

Select one:
True
False
Suppose we observe two independent random samples X₁, ... , Xn, with each X; N(μ₁,0²) and
Y₁, ..., Yn with each Y; N(μ₂,0²). We will assume that µ₁, ₂ and ² are unknown.
n2
We are given x = 10.1, y = 7.1, s
We would like to test the hypothesis H₁ : μ₁ = μ₂ versus H₁ : µ₁ ‡ M₂.
What test statistic should you use? You may assume the samples come from populations with equal
variances.
Select one:
a. Z =
O b. T =
Ос. Т
X-Y
0²√1/m₁+1/m₂
à
Sal√12
d₁ = x₁ = y₁, i = 1, ..., 13.
=
= 5.5 and s} = 6.4, with n₁ = 13 and n₂ = 19.
N(0, 1), where o² = 6.04.
X-Y
Sp√/1/n₁+1/m₂
~ 112, where d is the mean and S2 is the sample variance of paired differences
tn
²n₁+n₂-2₂
where S is the pooled estimate of variance.
Transcribed Image Text:Suppose we observe two independent random samples X₁, ... , Xn, with each X; N(μ₁,0²) and Y₁, ..., Yn with each Y; N(μ₂,0²). We will assume that µ₁, ₂ and ² are unknown. n2 We are given x = 10.1, y = 7.1, s We would like to test the hypothesis H₁ : μ₁ = μ₂ versus H₁ : µ₁ ‡ M₂. What test statistic should you use? You may assume the samples come from populations with equal variances. Select one: a. Z = O b. T = Ос. Т X-Y 0²√1/m₁+1/m₂ à Sal√12 d₁ = x₁ = y₁, i = 1, ..., 13. = = 5.5 and s} = 6.4, with n₁ = 13 and n₂ = 19. N(0, 1), where o² = 6.04. X-Y Sp√/1/n₁+1/m₂ ~ 112, where d is the mean and S2 is the sample variance of paired differences tn ²n₁+n₂-2₂ where S is the pooled estimate of variance.
What is the observed value of the test statistic for the appropriate hypothesis test of Ho : μ₁ = μ₂ versus
H₁: M₁ # M₂ ?
Transcribed Image Text:What is the observed value of the test statistic for the appropriate hypothesis test of Ho : μ₁ = μ₂ versus H₁: M₁ # M₂ ?
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