Question

Birth Weight Data Set 3 “Births” in Appendix B includes birth weights of 205 females, and the summary statistics are ¯x=3037.1 g x¯=3037.1 g and s = 706.3 g. Use a 0.01 significance level to test the claim that the population of birth weights of females is greater than 3000 g.

Data set 3 :

Data are from 400 births (first five rows shown here). For GENDER 0 = female and 1 = male. LENGTH OF STAY is in days, BIRTH WEIGHT is in grams, and TOTAL CHARGES are in dollars.

TI-83/84 list names (BIRTHS):

FLOS, MLOS, FBWT, MBWT, FCHRG, MCHRG [Separate lists provided for female (F) and male (M) babies. No list for FACILITY, INSURANCE, ADMITTED, and DISCHARGED]

FACILITY	INSURANCE	GENDER (1 = M)	LENGTH OF STAY	ADMITTED	DISCHARGED	BIRTH WEIGHT	TOTAL CHARGES
Albany Medical Center Hospital	Insurance Company	0	2	FRI	SUN	3500	13986
Albany Medical Center Hospital	Blue Cross	1	2	FRI	SUN	3900	3633
Albany Medical Center Hospital	Blue Cross	0	36	WED	THU	800	359091
Albany Medical Center Hospital	Insurance Company	1	5	MON	SAT	2800	8537
Albany Medical Center Hospital	Insurance Company	1	2	FRI	SUN	3700	3633

Answer 1

The hypothesis are:

H0: The birth weight of females is 3000g.

H1: The birth weight of females is more than 3000g

The test statistic under the null hypothesis is:

t = (xbar - μ) / SE

where SE = s / sqrt( n )

t = 0.752076

The corresponding p-value is 0.2264

Since, the p-value is much greater 0.01 we may accpet the null hypothesis at 1% level of significance and conclude that the birth weight in females may not be greater than 3000g or the birth weight may be 3000g.