Imagine we have collected a random sample of 31 energy bars from a number of different stores to represent the population of energy bars available to the general consumer. The labels on the bars claim that each bar contains 20 grams of protein.

Table 1: Grams of protein in random sample of energy bars

Energy Bar - Grams of Protein
20.70	27.46	22.15	19.85	21.29	24.75
20.75	22.91	25.34	20.33	21.54	21.08
22.14	19.56	21.10	18.04	24.12	19.95
19.72	18.28	16.26	17.46	20.53	22.12
25.06	22.44	19.08	19.88	21.39	22.33	25.79

If you look at the table above, you see that some bars have less than 20 grams of protein. Other bars have more. You might think that the data support the idea that the labels are correct. Others might disagree. The statistical test provides a sound method to make a decision, so that everyone makes the same decision on the same set of data values.

1. State the Hypothesis
2. Set the Criterion
3. Calculate the estimated standard error of the mean
4. Calculate the t-statistic for the sample
5. Will you reject or fail to reject the null hypothesis?
6. Calculate confidence interval if appropriate

Performing the t-test: Using VassarStats complete the t-test and upload your table! statistics you have gotten from lllassarfitats. Please make sure you also answer the questions given below using the information you got from VassarStats. Please don't just list your answers, if you don't have the information from VassarStats you will only earn partial credit of 5 points. Based on the information given below, answer the questions listed below. Show your work. Imagine we have collected a random sample of 31 energy bars from a number of different stores to represent the population of energy bars avaiiable to the general consumer. The labeis on the Joars claim that each bar contains 20 grams of protein. Table 1: Grams of protein in random sample of energy bars Energy Bar - Grams of Protein ---19.35 21.29 24.75 ---20.33 21.54 21.03 22.14 19.56 21.10 18.04 24.12 19.25 19.22 18.28 16.26 12.46 20.53 22.12 25.06 22.44 19.08 19.88 21.39 22.33 25.7? If you look at the table above,you see that some bars have less than 20 grams of protein. Other bars have more. You might think that the data support the idea that the labels are correct. Others might disagree. The statistical test provides a sound method to make a decision, so that everyone makes the same decision on the same set of data values. 1. State the Hypothesis 2. Set the Criterion 3. Calculate the estimated standard error of the mean 4. Calculate the tstatistic for the sample 5. Will you reject or fail to reject the null hypothesis? 6. Calculate condence interval ifappropriate