Math Problem Statement
A random sample of 10 independent healthy people showed the body temperatures given below (in degrees Fahrenheit). Test the hypothesis that the population mean is not 98.6 degrees°F, using a significance level of 0.05. 98.598.5 98.998.9 99.099.0 96.296.2 98.698.6 98.398.3 97.497.4 99.499.4 98.698.6 97.797.7 Question content area bottom Part 1 Determine the null and alternative hypotheses. Choose the correct answer below. A. Upper H 0H0: muμgreater than>98.698.6 Upper H Subscript aHa: muμequals=98.698.6 B. Upper H 0H0: muμequals=98.698.6 Upper H Subscript aHa: muμless than<98.698.6 C. Upper H 0H0: muμless than<98.698.6 Upper H Subscript aHa: muμequals=98.698.6 D. Upper H 0H0: muμnot equals≠98.698.6 Upper H Subscript aHa: muμequals=98.698.6 E. Upper H 0H0: muμequals=98.698.6 Upper H Subscript aHa: muμnot equals≠98.698.6 Your answer is correct.F. Upper H 0H0: muμequals=98.698.6 Upper H Subscript aHa: muμgreater than>98.698.6 Part 2 Check the conditions to see whether the test statistic will follow a t-distribution. The sample is random and the observations are independent. The distribution of the populaton is approximately Normal. Part 3 Find the test statistic.
Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
One-sample t-test
Formulas
t-test statistic formula for one sample
Theorems
Central Limit Theorem (for approximate Normality)
Suitable Grade Level
Advanced undergraduate or graduate level