Question

* Hypothesis Test for a Populatio * G Commute times in the U.S. are x + course/a2/rest/assessement/deliver?context=b4f6cec30a0001dc699ac1b7bb3531eb&attempt=1 Countdown: Days:-o Time:-03:07:51 Your answer should be rounded to 4 decimal places. Question 15 Find the p-value for the hypothesis test. A random sample of size 50 is taken. The sample has a mean of 420 and a standard deviation of 81. 10 points Ho: = 400 H: 400 The p-value for the hypothesis test is Your answer should be rounded to 4 decimal places. Question 16 Child Health and Development Studies (CHDS) has been collecting data about pemberia expectant mothers in Oakland, CA since 1959. One of the measurements taken to point 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 il second trimester is 14 pounds. Suppose also that, in 2015, a random sample of 36 expectant mothers have mean weight incre 15-7 pounds in the second trimester, with a standard deviation of 5.8 pounds. A hypothesis test is done to see if there is evidence that weight increase in the second trimester

Answer 1

Q15)

Solution :

Solution :

$\mu$= 400

$\bar x$ =420

$\sigma$ =81

n = 50

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :  $\mu$ = 400

H_a : $\mu$    $\neq$ 400.

Test statistic = z

= ($\bar x$ - $\mu$ ) / $\sigma$ / $\sqrt$ n

= (420-400) / 81/ $\sqrt$ 50

= 1.75

P(z >1.75 ) = 1 - P(z <1.75 ) = 1-0.9599=0.0401

P-value = 2*0.0401=0.0802