Mathematics: It has long been stated that the mean temperature of humans is 98.6degreesF. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6degreesF. They measured the temperatures of 61 healthy adults 1 to 4 times daily for 3 days, obtaining 275 measurements. The sample data resulted in a sample mean of 98.3degreesF and a sample standard deviation of 1degreesF. Use the P-value approach to conduct a hypothesis test to judge whether the mean

Thats not a specific question...

It has long been stated that the mean temperature

kace04

28.01.2022

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 98.6

For the alternative hypothesis,

µ < 98.6

This is a left tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 275

Degrees of freedom, df = n - 1 = 275 - 1 = 274

test statistic, t = (x - µ)/(s/√n)

Where

x = sample mean = 98.3

µ = population mean = 98.6

s = samples standard deviation = 1

t = (98.3 - 98.6)/(1/√275) = - 4.97

We would determine the p value using the t test calculator. It becomes

p < 0.00001

Since alpha, 0.01 > than the p value, then we would reject the null hypothesis. Therefore, the correct option is

B. Reject Upper H 0 since the P-value is less than the significance level.

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