A vitamin K shot is given to infants soon after birth. Nurses atNorthbay Healthcare were involved in a study to see if how theyhandle the infants could reduce the pain the infants feel (\"SOCRdata nips,\" 2013). One of the measurements taken was how long, inseconds, the infant cried after being given the shot. A randomsample was taken from the group that was given the shot usingconventional methods (first table), and a random sample was takenfrom the group that was given the shot where the mother held theinfant prior to and during the shot (second table).  

Crying Time of Infants Given Shots Using ConventionalMethods

63	0	2	46	33	33
29	23	11	12	48	15
33	14	51	37	24	70
63	0	73	39	54	52
39	34	30	55	58	18

Crying Time of Infants Given Shots Using NewMethods

0	32	20	23	14	19
60	59	64	64	72	50
44	14	10	58	19	41
17	5	36	73	19	46
9	43	73	27	25	18

You may assume the 2 sample t-procedures are safe to use. Callconventional 1 and new 2 in proceeding with analyses.

#10. Find the 95% confidence interval for the mean difference inmean crying time after being given a vitamin K shot between infantsheld using conventional methods and infants held by their mothers.Fill in blank 1 to report the bounds of the 95% CI. Enter youranswers as lower bound,upper bound with no additional spaces androunding bounds to three decimals.

Blank #1: 95% confident that the true mean difference in meancrying time after being given a vitamin K shot between infantsusing conventional methods and infants held by their mothers isbetween ____________and ___________________. In other words, themean crying time of infants given vitamin K shot using conventionalmethods is anywhere from ______________ less than to_______________more than the mean crying time of infants givenvitamin K shot using new methods.

#9. Is there enough evidence to show that infants cried less onaverage when they are held by their mothers than if held usingconventional methods? Test at the 5% level.

Use the framework below to guide your work.

Hypotheses: :     Ho: mu1 = mu2; Ha: mu1> mu2 (calling conventional 1 and new 2)   

Blank #2: Test statistic = _________ (round to two decimalplaces)

Blank #3:  p-value = __________ (round to four decimalplaces)

Blank #4: Test decision: We decide to ___________ Ho (reject ordo not reject)

Blank #5: Conclusion back into the words of problem: Theevidence __________(favors or does not favor) that the mean cryingtime of infants given vitamin K shot and being held by theirmothers is less than the mean crying time of those who were givenshot using conventional methods.

Blank # 1 ?
Blank # 2 ?
Blank # 3 ?
Blank # 4 ?
Blank # 5 ?