Question

The following two-way contingency table gives the breakdown of the population of married or previously married women beyond child-bearing age in a particular locale according to age at first marriage and number of children: Age Number of Children 0 1 or 2 3 or More Under 20 0.02 0.14 0.08 20–29 0.07 0.37 0.11 30 and above 0.10 0.10 0.01 A woman is selected at random. Find the probability that the woman was 20 or older at her first marriage. QUESTION 2 An agricultural analyst is comparing the maize production in South Africa. The analyst claims that the variation in maize production is greater in Free State than in Mpumalanga. A sample of 21 Free State farms has a standard deviation of 0.76 tonnes per acre. A sample of 16 Mpumalanga farms has a standard deviation of 0.58 tonnes per acre. Test at 10% significant level. Calculate the test statistics.

          The following two-way contingency table gives the breakdown of the population of married or previously married women beyond child-bearing age in a particular locale according to age at first marriage and number of children:

Age	Number of Children
	0	1 or 2	3 or More
Under 20	0.02	0.14	0.08
20–29	0.07	0.37	0.11
30 and above	0.10	0.10	0.01

A woman is selected at random. Find the probability that the woman was 20 or older at her first marriage.

QUESTION 2
An agricultural analyst is comparing the maize production in South Africa. The analyst claims that the variation in maize production is greater in Free State than in Mpumalanga. A sample of 21 Free State farms has a standard deviation of 0.76 tonnes per acre. A sample of 16 Mpumalanga farms has a standard deviation of 0.58 tonnes per acre. Test at 10% significant level.
Calculate the test statistics.

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The following two-way contingency table gives the breakdown of the population of married or previously married women beyond child-bearing age in a particular locale according to age at first marriage and number of children:

Age Number of Children
0 1 or 2 3 or More
Under 20 0.02 0.14 0.08
20–29 0.07 0.37 0.11
30 and above 0.10 0.10 0.01

A woman is selected at random. Find the probability that the woman was 20 or older at her first marriage.

QUESTION 2
An agricultural analyst is comparing the maize production in South Africa. The analyst claims that the variation in maize production is greater in Free State than in Mpumalanga. A sample of 21 Free State farms has a standard deviation of 0.76 tonnes per acre. A sample of 16 Mpumalanga farms has a standard deviation of 0.58 tonnes per acre. Test at 10% significant level.
Calculate the test statistics.

Added by Madison B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Jeremy Gamble

03/24/2023

Step 1

We need to find the probability that a woman was 20 or older at her first marriage. The table can be represented as follows: | Age | 0-1 Child | 2 Children | 3 or More Children | |----------|-----------|------------|--------------------| | Under 20 | 0.02 Show more…

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The following two-way contingency table gives the breakdown of the population of married or previously married women beyond child-bearing age in a particular locale according to age at first marriage and number of children: Age Number of Children 0 1 or 2 3 or More Under 20 0.02 0.14 0.08 20–29 0.07 0.37 0.11 30 and above 0.10 0.10 0.01 A woman is selected at random. Find the probability that the woman was 20 or older at her first marriage. QUESTION 2 An agricultural analyst is comparing the maize production in South Africa. The analyst claims that the variation in maize production is greater in Free State than in Mpumalanga. A sample of 21 Free State farms has a standard deviation of 0.76 tonnes per acre. A sample of 16 Mpumalanga farms has a standard deviation of 0.58 tonnes per acre. Test at 10% significant level. Calculate the test statistics.

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Transcript

00:02 For this problem, we are given this contingency table, which breaks down the population of married or previously married women, women, according to their age at first marriage and number of children.

00:17 So this is the ages at which they are first married and the number of children they have.

00:25 And we have some events we want to find the probability of.

00:30 So, part a.

00:31 We want to find the probability that the woman was in her 20s at her first marriage.

00:41 So let's say probability that a for age is greater than or equal to.

00:56 It's going to be greater than or equal to 20, but also less than 30.

01:03 So that's going to be all the women in this middle column, middle row, sorry, here.

01:12 So we just need to add up these three probabilities.

01:17 That's the probability that they're in their 20s and have zero children, plus the probability that they're in their 20s and have one to two, and the probability they're in their 20s and have three or more.

01:29 That's 0 .07 plus 0 .303.

01:33 37 plus 0 .11.

01:39 And if i add that all up, that gives me 0 .44 plus 0 .11.

01:47 That's 0 .55.

01:50 So there's our probability for part a.

01:53 Let's look at part b over here next.

01:58 We want the probability that the woman was 20 or older at her first marriage.

02:06 Probability that a is greater than or equal to 20.

02:13 Well, that's going to be everything in this second row and also everything in this third row because if you're over 30, you're over 20 for your first marriage...

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