Question

Find a data set of at least 30 adult body temperatures on the internet. (Use data provided below)

96.0

96.1

96.3

96.4

96.6

96.8

97.1

97.2

97.5

97.6

97.7

97.8

97.9

98.0

98.1

98.2

98.3

98.4

98.5

98.6

98.6

98.7

98.8

99.1

99.2

99.3

99.4

99.5

99.8

99.9

State the null and alternative hypotheses and identify which represents the claim.

Determine the type of test that you should use: left-tailed, right-tailed, or two-tailed. Explain your reasoning.

Conduct the test, showing all calculations and whether you reject or accept the null hypothesis. Explain what the result means.

Discuss your thoughts on the decision in part d. What is your conclusion, based on the test results?

Answer 1

Given
X bar	98.04667	AVERAGE(L2:L31)
μ	98.6	Internet
S	1.11718	STDEV(L2:L31)
n	30

Hypothesis :		α=	0.05
		df	29	n-1
Ho:	μ1​ = μ0(98.6)
Ha:	μ1​ < μ0(98.6)	Left tailed
t Critical Value :
tc	-1.699127027	T.INV(D1,9)	LEFT

ts

<=

tc

LEFT

To reject H0

Test :
t	-2.712839929	(X bar-μ )/(S/SQRT(n))
P value :
p	0.005551769	T.DIST(ts,df,TRUE)	LEFT
Decision :
P value	<	α (0.05)	Reject H0

Conclusion :

There is enough evidence to conclude that mean body temperature is less than 98.6⁰F at 0.05 significance level