The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb a significantly low number of girls. E Click the icon to view the table. determine whether 1 girl in 10 births is Use the range rule of thumb to identify a range of values that are not significant. The maximum value in this range is 5.1 girls. (Round to one decimal place as needed.) The minimum value in this range is 1.7 girls. (Round to one decimal place as needed.) Based on the result, is 1 girl in 10 births a significantly low number of girls? Explain. O A. Yes, 1 girl is a significantly low number of girls, because 1 girl is below the range of values that are not significant. in uith thot ore pnt eignifieont Feontly low puaher of eide hoeouee 4

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The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is
a significantly low number of girls.
Click the icon to view the table.
Use the range rule of thumb to identify a range of values that are not significant.
The maximum value in this range is 5.1 girls.
(Round to one decimal place as needed.)
The minimum value in this range is 1.7 girls.
(Round to one decimal place as needed.)
Based on the result, is 1 girl in 10 births a significantly low number of girls? Explain.
A. Yes, 1 girl is a significantly low number of girls, because 1 girl is below the range of values that are not significant.
B. No, 1 girl is not a significantly low number of girls, because 1 girl is within the range of values that are not significant.
C. Yes,
girl is a significantly low number of girls, because 1 girl is above the range of values that are not significant.
D. Not enough information is given.
Transcribed Image Text:The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. Click the icon to view the table. Use the range rule of thumb to identify a range of values that are not significant. The maximum value in this range is 5.1 girls. (Round to one decimal place as needed.) The minimum value in this range is 1.7 girls. (Round to one decimal place as needed.) Based on the result, is 1 girl in 10 births a significantly low number of girls? Explain. A. Yes, 1 girl is a significantly low number of girls, because 1 girl is below the range of values that are not significant. B. No, 1 girl is not a significantly low number of girls, because 1 girl is within the range of values that are not significant. C. Yes, girl is a significantly low number of girls, because 1 girl is above the range of values that are not significant. D. Not enough information is given.
Number of
Girls x
P(x)
0.003
1
0.012
0.036
3
0.113
4
0.206
0.242
0.204
7
0.116
8
0.042
0.012
10
0.014
Transcribed Image Text:Number of Girls x P(x) 0.003 1 0.012 0.036 3 0.113 4 0.206 0.242 0.204 7 0.116 8 0.042 0.012 10 0.014
Expert Solution
Step 1

Given Information:

Statistics homework question answer, step 1, image 1

Using the range rule of thumb we are asked to determine the range of values that are not significant:

Using the above probability distribution table, find the mean and standard deviation as follows:

Mean/ Expected value:

μ=ix Px=00.003+10.012+20.036+30.113+40.206+50.242+60.204+70.116+80.042+90.012+100.014=5.077

Standard deviation is calculated using the formula:

σ=EX2-EX2

EX2=ix2 Px=00.003+10.012+40.036+90.113+160.206+250.242+360.204+490.116+640.042+810.012+1000.014=28.607

Substitute the values in the above formula:

σ=EX2-EX2=28.607-5.0772=1.6825786761.6826

 

 

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