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Normal human body temperature, as kids are taught in North America, is 98.6 degrees F. But how well is this supported by data? Researchers obtained body-temperature measurements on randomly chosen healthy people.

If your answer contains a decimal, answer to 3 significant figures, otherwise, report the whole number. This includes the \(t_{crit}\) looked up in Statistical Table C.

Hypotheses:
- \(\mu = 98.6\)
- \(\mu \neq 98.6\)

Calculate the following:
- \(\bar{Y} =\)
- \(s =\)
- \(SE_{\bar{Y}} =\)
- \(n =\)
- \(df =\)
- \(t_{0.05 (2, df)}\) using Statistical Table C =
- \(t_{calc} =\)

Can we reject the null hypothesis? (Enter "yes" or "no" for your answer)

**Data Set**:
- 98.4
- 99
- 98
- 99.1
- 97.5
- 98.6
- 98.2
- 99.2
- 98.4
- 98.8
- 97.8
- 98.8
- 99.5
- 97.6
- 98.6
- 98.8
- 99.4
- 97.4
- 100
- 97.9
- 99
- 98.4
- 97.5
- 98.4
- 98.8
- 99.4
- 97.4
- 100
- 97.9
- 97.5
- 98.6
- 98.2
- 99.2
- 98.4
- 98.4
- 99
- 98
- 99.1
- 97.5
- 98.6
- 98.2
- 99.2
- 97.6
- 98.6
- 98.8
- 98.8
- 99.4
- 97.4
- 100
- 97.9
- 99
- 98.4
- 97.5
- 98.4
- 98.8
- 99.4
- 97.4
- 98.8
- 99.5
- 97.6
- 98.6
- 98.2
- 99.2
- 98.4
- 99
- 98.6
- 98.8
- 98.8
- 99.1

Answer :

98.6 degrees Fahrenheit is a widely known value for normal human body temperature, recent data suggests that this figure may not accurately represent the average body temperature for healthy individuals, with variations depending on factors like age, gender, and environmental conditions

Normal human body temperature, commonly taught as 98.6 degrees Fahrenheit (37 degrees Celsius), is based on historical data from the 19th century. However, recent research suggests that the actual average body temperature for healthy individuals may be slightly lower than this widely accepted value.
Researchers conducted a study using body-temperature measurements from randomly chosen healthy people. The data collected demonstrated that the actual average body temperature could be closer to 98.2 degrees Fahrenheit (36.8 degrees Celsius) or even lower, depending on factors such as age, gender, and time of day.
These findings support the notion that 98.6 degrees Fahrenheit may not be an accurate representation of the average body temperature for all individuals. Factors like ethnicity and geographical location can also influence the average body temperature., while 98.6 degrees Fahrenheit is a widely known value for normal human body temperature, recent data suggests that this figure may not accurately represent the average body temperature for healthy individuals, with variations depending on factors like age, gender, and environmental conditions.

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Rewritten by : Barada

The blanks when completed are

  • μ = 98.6 is the null hypothesis
  • μ ≠ 98.6 is the alternate hypothesis
  • s = 0.680
  • n = 69
  • df = 68
  • t = -0.65
  • Yes, we can reject the null hypothesis

How to complete the blanks

From the question, we have the following parameters that can be used in our computation:

The dataset

By the definition of null and alternate hypotheses, we have

μ = 98.6 is the null hypothesis

μ ≠ 98.6 is the alternate hypothesis

Using a graphing tool, we have the following:

  • Count, N = 69
  • Mean, μ = 98.546
  • Variance, σ² = 0.462
  • Standard Deviation, σ = 0.680

This means that the standard deviation is

s = 0.680

Also, we have

n = 69

Next, we have

df = n - 1

So, we have

df = 69 - 1

df = 68

To calculate the t-statistic, we use:

t = (x - μ) / (s / √(n))

So, we have

t = (98.546 - 98.6) / (0.680 / √(69))

Evaluate

t = -0.65

The absolute value of the t-value (0.65) is greater than the critical value (0.05).

So, we reject the null hypothesis

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Question

Normal human body temperature, as kids are taught in North America, is 98.6 degrees F. But how well is this supported by data? Researchers obtained body-temperature measurements on randomly chosen healthy people.

μ = 98.6 is the ____ hypothesis

μ ≠ 98.6 is the ____ hypothesis

s = ____

n =

df = ____

t = _______

Can we reject the null hypothesis? (enter yes or no for your answer)