Answer :
Final answer:
In order to conduct a t-test in the R programming language, one would utilize the function 't.test()' with the specified parameters. The function will return, among other data, the 95% confidence interval of the population mean estimate. This interval denotes the range in which the actual population mean is likely to be found 95% of the time. To find the correct answer for your multiple-choice question, match this interval to the given options.
Explanation:
To run a t-test in R, you would need to use the t.test function. It will compute a t-test to determine if the sample of temperatures you have comes from a population with a mean of 98.6 degrees. In this case, you would write the command as:
t.test(temps,mu=98.6).
This will return a number of values, including the test statistic, the degrees of freedom, the p-value, and the 95% confidence interval of the estimate of the population mean. The 95% confidence interval gives you a range of values that will contain the true population mean 95% of the time. For your data, let's say the function returns a 95% confidence interval of [98.20, 99.50]. This would mean there's a 95% chance that the true population mean lies within this interval. If 98.6 lies within this interval, you do not reject the null hypothesis that the mean is 98.6. If it does not, you reject the null hypothesis. You must compare this interval with the provided options to identify the correct answer.
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