The following 5 questions are based on this information. A consumer group claims
ID: 3356872 • Letter: T
Question
The following 5 questions are based on this information. A consumer group claims that Chuck’s Chips' snack-pack size has an average weight below 1.75 ounces, which is the weight labeled on the bags. In an attempt to substantiate this claim, a researcher from the consumer group randomly selects 36 bags and finds that the average weight is 1.73 ounces. She also calculates a standard deviation ( s s ) to be 0.33 ounces. Assume the random variable, Chuck’s Chips' snack-pack size (denoted by X), is normally distributed. Question 13 Not yet answered Points out of 1.00 Flag question Question text Specify the null and alternative hypotheses. Select one: a. H(0): 1.75 Versus H(a): < 1.75 b. H(0): 1.75 Versus H(a): > 1.75 Question 14 Not yet answered Points out of 1.00 Flag question Question text The standard error (SE) of X ¯ X¯ is Select one: a. 3.8 b. 0.055 c. 0.29 d. 0.33 Question 15 Not yet answered Points out of 1.00 Flag question Question text The test statistic value is Select one: a. -0.36 b. -1.25 c. -3 d. -3.6 Question 16 Not yet answered Points out of 1.00 Flag question Question text The p-value is Select one: a. 0.03 b. 0.36 c. 0.05 d. 0.64
Explanation / Answer
The statistical software output for this problem is:
One sample T summary hypothesis test:
: Mean of population
H0 : = 1.75
HA : < 1.75
Hypothesis test results:
Hence,
Answer - 13: H(0): 1.75 Versus H(a): < 1.75; Option A is correct.
Answer - 14: Standard error = 0.055; Option B is correct.
Answer - 15: Test statistic = -0.36; Option A is correct.
Answer - 16: p value = 0.36; Option B is correct.
Mean Sample Mean Std. Err. DF T-Stat P-value 1.73 0.055 35 -0.36363636 0.3592