QUESTION:

Each of these four tasks asks you to calculate a confidence interval estimate (CIE).

Assume that the population standard deviation is 10.0 min.

However, no other parameters are assumed to be known, [e.g. _males and _females are unknown].

1. Use your sample to construct a 95 % CIE. for the average time required for the 1000 students to complete the test. Explain your work. Is "normality" a concern? Present a table of your sample of 60 people sorted by time.

2. Construct a 90 % CIE. for the average time required for all the females to complete the test. Explain your work. Present a table of ranked data. for females.

3. Construct a 90 % CIE. for the average time required for all the males to complete the test. Explain your work. Present a table of ranked data. for males.

4. Construct a 99 % CIE. for the proportion of females in the population. Explain your work.

This report analyzes the gender and time for completing a standardized test for a population of 1000 people. It shows the Confidence Interval Estimate (95%, 90%, 99% CIE) from a random sample of 60 people, ranked by gender and standard deviation of 10 mins.

Below is the dataset

Random Numbers	Gender	Time
468	F	40.9
189	F	59.6
147	M	54.8
342	F	56.7
236	M	40.4
058	M	46.8
265	M	42.3
065	M	40.2
090	F	47.9
676	M	42.2
125	M	47.9
595	F	51.4
419	F	43.6
184	M	43.5
363	F	63.8
840	F	31
059	F	47
388	F	54.6
629	M	54.9
659	M	50.9
996	M	56.8
642	F	49.1
920	M	62.1
877	F	49.5
319	F	50.8
994	F	53.7
155	M	56
550	M	52.3
420	F	60.8
576	F	57.5
002	F	47.7
482	M	52.1
453	M	48.1
241	M	53.2
961	F	51.7
988	M	50.6
033	F	52
459	F	46.4
689	M	47.1
913	M	53.3
188	M	47.5
453			<- Person 453 second time
575	F	53.6
895	F	56.8
567	F	30.7
593	M	55.1
576			<- Person 576 second time
882	M	59.5
889	F	50.9
034	M	42.9
288	M	37
896	F	32.8
647	M	44.5
607	M	61.4
277	F	37.8
052	M	52.7
062	M	47.3
963	F	52
657	M	49.4
820	M	56.1
285	F	51.8
959	M	69.6
	N =	60
	Mean =	50.010000
	Std Dev =	7.778735
	TOTAL POPULATION	1000
	NUMBER OF SAMPLES	60