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nonparametic stats sign test z=× + 0.5 -n/2 over (n/2) state the hypothesis and

ID: 3203449 • Letter: N

Question

nonparametic stats sign test
z=× + 0.5 -n/2 over (n/2)
state the hypothesis and identify the claim?
b) find the critical value
c) compute the test value
d) make the decision
e) summarize the results
a meteorologist suggest that the median temperature, the month of July in Jacksonville Florida is 81f. the sample here shows the temperatures taken at noon in Jacksonville during 20 days in July at a = .01 is there enough evidence to reject the meteorologist's claim??
81 83 87 92 91 78 73 81 93 96 79 80 84 86 82 85 77 72 73 80

Explanation / Answer

Result:

a meteorologist suggest that the median temperature, the month of July in Jacksonville Florida is 81f. the sample here shows the temperatures taken at noon in Jacksonville during 20 days in July at a = .01 is there enough evidence to reject the meteorologist's claim??
81 83 87 92 91 78 73 81 93 96 79 80 84 86 82 85 77 72 73 80

state the hypothesis and identify the claim?

Ho : population median = 81F ( claim)

Ho : population median 81F ( claim)


b) find the critical value

z= 2.576
c) compute the test value

z=((8+0.5)-18/2))/sqrt(18/4)

z=-0.24
d) make the decision

calculated z=0.24 < 2.576, the critical value. Ho is not rejected.
e) summarize the results

There is no evidence to reject the claim that the median temperature, the month of July in Jacksonville Florida is 81f.

Sign Test

81

hypothesized value

81.5

median data

8

below

2

equal

10

above

18

n

binomial

.8145

p-value (two-tailed)

normal approximation

0.24

z

.8137

p-value (two-tailed)

Sign Test

81

hypothesized value

81.5

median data

8

below

2

equal

10

above

18

n

binomial

.8145

p-value (two-tailed)

normal approximation

0.24

z

.8137

p-value (two-tailed)