In a study comparing the amount of juice in two types of lemons, the sample sizes and standard deviations are: Sample 1: n 1 = 20 , s 1 = 1.8 mL n_1=20,s_1=1.8\,\text{mL} Sample 2: n 2 = 26 , s 2 = 2.2 mL n_2=26,\text{ }s_2=2.2\,\text{mL} When using the method of taking the smaller of n 1 − 1 n_1-1 and n 2 − 1 n_2-1 , the degrees of freedom are 19 19 . Find the number of degrees of freedom using the following formula. d f = ( s 1 2 n 1 + s 2 2 n 2 ) 2 ( s 1 2 n 1 ) 2 n 1 − 1 + ( s 2 2 n 2 ) 2 n 2 − 1 df=\frac{\left(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}\right)^2}{\frac{\left(\frac{s_1^2}{n_1}\right)^2}{n_1-1}+\frac{\left(\frac{s_2^2}{n_2}\right)^2}{n_2-1}} df = n 1 − 1 ( n 1 s 1 2 ) 2 + n 2 − 1 ( n 2 s 2 2 ) 2 ( n 1 s 1 2 + n 2 s 2 2 ) 2 Explain briefly how hypothesis tests and confidence intervals are affected by using the exact formula compared to the simple method.

Table of contents

Upload your syllabus and get recommendations on what to study and when. No syllabus? Sharing your exam schedule works too.

1. Intro to Stats and Collecting Data(0)
2. Describing Data with Tables and Graphs(0)
3. Describing Data Numerically(0)
4. Probability(0)
5. Binomial Distribution & Discrete Random Variables(0)
6. Normal Distribution and Continuous Random Variables(0)
7. Sampling Distributions & Confidence Intervals: Mean(0)
8. Sampling Distributions & Confidence Intervals: Proportion(0)
- Sampling Distribution of Sample Proportion
  (0)
- Confidence Intervals for Population Proportion
  (0)
9. Hypothesis Testing for One Sample(0)
10. Hypothesis Testing for Two Samples(0)
11. Correlation(0)
12. Regression(0)
13. Chi-Square Tests & Goodness of Fit(0)
14. ANOVA(0)