Question

“Eat For 10 Hours. Fast For 14. This Daily Habit Prompts Weight Loss, Study Finds” This is the title of an NPR article about a 2019 study that recruited 19 overweight adults diagnosed with metabolic syndrome (elevated blood sugar, elevated cholesterol levels, high blood pressure). Participants were asked to restrict any eating to a period of just 10 hours each day. The study found a statistically significant reduction in body weight after 12 weeks of this eating pattern.

1.

Define the parameter in this hypothesis test as a sentence in context.

[This essay question will be graded manually later.]

2.

The statement of a "statistically significant reduction in body weight" indicates that a [ a.) two-sample t test b.) matched-pairs t test c.)z test ]

on the data gave a [ a.) negative b.) large c.) small ]         

P-value. This [ a.) does b.) does not ]         

imply that the mean reduction in body weight was substantial.

3.

To be able to conclude that a time-restricted eating pattern causes a weight loss in this population on average, we would need to

a.)collect weight-loss data on all adults, not just adults with metabolic syndrome

b.)use a much larger sample than what this study used

c.)collect weight-loss data on the entire population of adults with metabolic syndrome

d.)make sure that the study found a very small P-value and check that the conditions for inference were all met

e.)find a significant weight-loss difference for participants that would be randomly assigned to time-restricted eating or regular eating

Answer 1

1.Define the parameter in this hypothesis test as a sentence in context.

Th researcher wants to test  a statistically significant reduction in body weight after 12 weeks of this eating pattern.

So  

we want to test that

2.b.) The statement of a "statistically significant reduction in body weight" indicates that a matched-pairs t test

on the data gave a c.) small P-value. This  a.) does imply that the mean reduction in body weight was substantial.

3.To be able to conclude that a time-restricted eating pattern causes a weight loss in this population on average, we would need to

d.)make sure that the study found a very small P-value and check that the conditions for inference were all met