A random sample of 106 body temperatures had a mean of 98.2 and a standard devia

Question

A random sample of 106 body temperatures had a mean of 98.2 and a standard deviation of .62 degrees F. Use a 0.05 significance level to test the claim that the mean body temperature of the population is equal to 98.6 degrees F. it is known that the population standard deviation is .65 degrees F.
a) statistical hypothesis:
b) null hypothesis
c) alternative hypothesis
d) which hypothesis is the claim
e) distribution chosen:
f) reason chosen
g) p value
h) circle one: reject Ho or fail To reject To
i) concluding sentence

Explanation / Answer

a) Z test because we know the standard deviation of the population

b)

Ho : miu = 98.6

c) H1 : miu different of 98.6

d) Ho

e) Z distribution

f) because we know the standard deviation of population

g)

Z = (98.2 - 98.6) / 0.65= -0.62

p value : 0.2676

h)

fail to reject Ho because p value is greater than alpha ( significance level)

i)

there is not evidence to say that the  the mean body temperature of the population is not equal to 98.6 degrees

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