1. In a fictional study, suppose that a psychologist is studying the effect of d
ID: 3234407 • Letter: 1
Question
1. In a fictional study, suppose that a psychologist is studying the effect of daily meditation on resting heart rate. The psychologist believes patients who do not meditate have a higher resting heart rate. For a random sample of 45 pairs of identical twins, the psychologist randomly assigns one twin to one of two treatments. One twin in each pair meditates daily for one week, while the other twin does not meditate. At the end of the week, the psychologist measures the resting heart rate of each twin. Assume the mean resting heart rate is 80 heart beats per minute. The psychologist conducts a t-test for the mean of the differences in heart rate of patients who do not meditate minus resting heart rate of patients who do meditate. The psychologist chooses a 5% level of significance. The resulting t-value = 1.83 and the p-value = 0.037. What is the conclusion the psychologist should make based on these results?
A)There is enough evidence to conclude that daily meditation lowers resting heart beat rate.
B) There is not enough evidence to conclude that daily meditation changes resting heart rate.
C)There is enough evidence to conclude that daily meditation increases resting heart rate.
2.
Child Health and Development Studies (CHDS) has been collecting data about expectant mothers in Oakland, CA since 1959. One of the measurements taken by CHDS is the age of first time expectant mothers. Suppose that CHDS finds the average age for a first time mother is 26 years old. Suppose also that, in 2015, a random sample of 50 expectant mothers have mean age of 26.5 years old, with a standard deviation of 1.9 years. At the 5% significance level, we conduct a one-sided T-test to see if the mean age in 2015 is significantly greater than 26 years old. Statistical software tells us that the p-value = 0.034.
Which of the following is the most appropriate conclusion?
A)There is a 3.4% chance that a random sample of 50 expectant mothers will have a mean age of 26.5 years old or greater if the mean age for a first time mother is 26 years old.
B)There is a 3.4% chance that mean age for all expectant mothers is 26 years old in 2015.
C)There is a 3.4% chance that mean age for all expectant mothers is 26.5 years old in 2015.
D)There is 3.4% chance that the population of expectant mothers will have a mean age of 26.5 years old or greater in 2015 if the mean age for all expectant mothers was 26 years old in 1959.
Explanation / Answer
1. p - value is less than 0.05 so reject Ho.
There is enough evidence to conclude that daily meditation lowers resting heart beat rate.
Option A is correct.
2. There is 3.4% chance that the population of expectant mothers will have a mean age of 26.5 years old or greater in 2015 if the mean age for all expectant mothers was 26 years old in 1959.
Option D is correct.
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