Question

Question 16 Child Health and Development Studies (CHDS) has been collecting data about Type numbers in the boxes. expectant mothers in Oakland, CA since 1959. One of the measurements taken 10 points by CHDS is the weight increase in pounds) for expectant mothers in the second trimester. In a fictitious study, suppose that CHDS finds the average weight increase in the second trimester is 14 pounds. Suppose also that, in 2015, a random sample of 45 expectant mothers have mean weight increase of 16.3 pounds in the second trimester, with a standard deviation of 5.9 pounds. A hypothesis test is done to see if there is evidence that weight increase in the second trimester is greater than 14 pounds. Find the p-value for the hypothesis test. The p-value should be rounded to 4 decimal places.

Answer 1

Answer )

Null hypothesis Ho : u = 14

Alternate hypothesis Ha : u > 14

Test statistics = (sample mean - claimed mean)/(s.d/√n)

t = (16.3 - 14)/(5.9/√45) = 2.615

As the population s.d is unknown and we are using sample s.d

We will use t distribution to estimate the p-value

Degrees of freedom is = n-1 = 44

For 44 df and 2.615 test statistics

P-Value from t distribution is = 0.006087

= 0.0061