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BYU-I - MATH 221 - Business statistics Math 221A - Class Notes

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BYU-I - MATH 221 - Business statistics Math 221A - Class Notes

School: Brigham Young University - Idaho
Department: OTHER
Course: Business Statistics
Professor: J. Hathaway
Term: Fall 2018
Tags: Math221A
Name: Business statistics Math 221A
Description: This covers week 06 lessons on Math 221A
Uploaded: 10/25/2018
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background image Math Processing Error  Body Temperatures Revisited We will apply the [Math Processing Error] ­distribution to the body temperature data we explored previously.  This hypothesis test is conducted in a manner similar to a test for a single mean where [Math 
Processing Error]is known, except that instead of using the population standard deviation, [Math 
Processing Error], in the calculations, we estimate this value using the sample standard deviation,
[Math Processing Error]. This leads to a [Math Processing Error]­distribution, rather than a 
normal distribution for the test statistic. We will not need to compute the value of this test 
statistic by hand. It will be done using Software.
Summarize the relevant background information  We want to conduct a hypothesis test to determine if the mean body temperature is different from
98.6° Fahrenheit. Previously, we assumed that we knew the value of [Math Processing Error]
. Actually, this value is not known.   We assume that the individuals chosen to participate in the study represent a (simple) random 
sample from the population. 
[Math Processing Error] will be normally distributed, because the sample size is large. (Note: We
could have also noticed that the body temperature data appears to be normally distributed, so 
even with a small sample size, [Math Processing Error] would be normal.)
Example Here are the instructions for conducting the one sample t­test in Excel:
The Excel file needed for this analysis
.  We will use this Excel file to conduct the  hypothesis tests for a single mean with [Math Processing Error]
Unknown.
After opening the file, please click on the tab labeled "One­sample t­test".  Paste the data in the appropriate place in Column A.
background image Set the null hypothesis value in cell D10. For this example, the value should be 
98.6.
Click in cell D11 and use the drop down menu to set the alternative hypothesis to:
"Not Equal To"
The image below shows the Excel file after these changes have been made. Consider each of the following alternative hypotheses that could be used in a test for a  single mean where the null hypothesis is [Math Processing Error]
.
[Math Processing Error] Choose "Not Equal To" in the drop­down menu in cell D11. [Math Processing Error] Choose "Less Than" in the drop­down menu in cell D11. [Math Processing Error]

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School: Brigham Young University - Idaho
Department: OTHER
Course: Business Statistics
Professor: J. Hathaway
Term: Fall 2018
Tags: Math221A
Name: Business statistics Math 221A
Description: This covers week 06 lessons on Math 221A
Uploaded: 10/25/2018
3 Pages 45 Views 36 Unlocks
  • Better Grades Guarantee
  • 24/7 Homework help
  • Notes, Study Guides, Flashcards + More!
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