You measure the length of copperheads in cm. You want to know if there

jack89515lg

jack89515lg

Answered question

2021-11-26

You measure the length of copperheads in cm. You want to know if there is a difference in length between male and female copperheads. You get the following results, but discover the data are NOT normally distributed.
Sexmales:6472737476767711478.2515.01females:315455565758656755.3810.91
Give the value of the test statistic (e.g., U* or t*, whichever is correct) for these data.

Answer & Explanation

Alicia Washington

Alicia Washington

Beginner2021-11-27Added 23 answers

Step 1
Define the hypotheses:
Null hypothesis (H0):
H0: There is no significant difference in the lengths of male and female copperheads.
Alternative hypothesis (H1):
H1: There is a significant difference in the lengths of male and female copperheads.
This is a two-tailed test of significance.
Step 2
Ranking:
The ra
are obtained as given below:
MalesRa of MalesFemalesRa of Females64103137213544731455574155677616.55787616.55897718651011420671178.251955.38615.01210.911Total=144Total=66
Test statistic calculation:
Here, R1=144,R2=66.
U1=n1n2+n1(n1+1)2R1
=(10×10)+10×112144
=100+55144
=11
U2=n1n2+n2(n2+1)2R2
=(10×10)+10×11266
=100+5566
=89
U=min{U1,U2}
=min{11,89}
=11.
Thus, the test statistic is 11.

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