Question

Use appropriate software or salt to find the t-multiplier for the following situations. (round your answers to four decimal places.) a button hyperlink to the salt program that reads: use salt.

(a) 95% confidence interval, n____

Answer 1

The t-multiplier for a 95% confidence interval, use a calculator or software with statistical functions like the invT function for the TI-83, 83+, or 84+ calculators, which requires the upper tail probability and degrees of freedom.

Step-by-step explanation:

To find the t-multiplier for a 95% confidence interval, you can use statistical software or a calculator that has the capability to perform statistical functions. Specifically, for a TI-83, 83+, or 84+ calculator, you might use the invT function to find the appropriate t value when given the probability and degrees of freedom (df).


For example, with 19 degrees of freedom, a two-tailed 95 percent confidence interval would require a t value of approximately 2.093. This value is determined using the function invT(0.975, 19), where 0.975 gives the upper tail probability due to symmetry in the t-distribution.

If you don't know the degrees of freedom, that is typically n - 1, where n is the sample size. Calculating the t-multiplier is essential when constructing confidence intervals for the mean of a normally distributed population when the population variance is unknown.

In summarizing the steps, you would:

1. Determine your desired confidence level (e.g., 95%).
   
   
2. Identify the degrees of freedom (df), which is usually the sample size minus one (n - 1).
   
   
3. Use your calculator's invT function, inputting the upper tail probability (for 95% confidence, it is 0.975) and the df to get your t-multiplier value.