Question 1: There are 180 primary schools in a country area having an average of 30...

Question 1:

There are 180 primary schools in a country area having an average of 30 or more people under the age of 21 per class. A sample of 30 schools drawn using systematic sampling with an interval of k = 6.

Serial number	1	2	3	4	5	6	7	8	9	10
No. of students	60	200	45	50	40	79	35	41	30	120

Serial number	11	12	13	14	15	16	17	18	19	20
No. of students	300	65	111	120	200	42	51	67	32	40

Serial number	21	22	23	24	25	26	27	28	29	30
No. of students	46	55	250	100	63	90	47	82	31	50

Estimate total number of students.
Estimate average number of students per farm.
The variance of the sample mean of students per farm.
95% confidence interval for the total number of students.

Expert Solution

There are 180 primary schools in a country area having an average of 30 or more people under the age of 21 per class. A sample of 30 schools drawn using systematic sampling with an interval of k = 6.

Serial number	1	2	3	4	5	6	7	8	9	10	Total
No. of students	60	200	45	50	40	79	35	41	30	120	700

Serial number	11	12	13	14	15	16	17	18	19	20
No. of students	300	65	111	120	200	42	51	67	32	40	1028

Serial number	21	22	23	24	25	26	27	28	29	30
No. of students	46	55	250	100	63	90	47	82	31	50	814
											2542

First let us denote the sample data set by the letter

Estimate total number of students.

Ans.

Estimate average number of students per farm.

Ans.

The variance of the sample mean of students per farm.

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Colby Messinger answered 2 years ago

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