Question

In: Statistics and Probability

It was published that children who have longer first names tend to achieve higher grades (%)...

It was published that children who have longer first names tend to achieve higher grades (%) in elementary school. For example, Zai (short name, only three letters) may achieve a lower grade than Kabiralina (much longer name, ten letters). A study was conducted to investigate the influence of name length on grades from a local sixth grade class. Is there such a relationship?  

NAMES GRADES
Aaralyn 76
Baldasarre 72
Cai 84
Daenerys 71
Ean 74
Famke 79
Gainella 73
Hakizimana 73
Ichnoyotl 74
Jadzia 88
Kabiralina 83
Lakshmina 75
Maconaquea 73
Nahuati 87
Ofek 77
Paitalyi 74
Qi 87
Raghnallia 81
Sada 73
Tabananica 79
Ulfah 89
Vadim 84
Wahmenita 88
Xanthusia 79
Yael 85
Zagiri

81

The appropriate test for this problem is:

a. correlation

b. regression

c. multiple regression

The obtained statistic is:

a. - . 56

b. - .65

c. - .53

d. - .35

The associated p value is:

a. .168

b. .861

c. .038

d. .083

Decision is:

a. reject the null

b. retain the null

Conclusion is:

a. names are significantly correlated with grades in a positive direction

b. names are significantly correlated with grades in a negative direction

c. names are significantly correlated with grades in both directions

d. no conclusion can be drawn

Solutions

Expert Solution

for above data:

The appropriate test for this problem is

a. correlation

The obtained statistic is:

d. - .35

The associated p value is:

d. .083

Decision is:

b. retain the null

Conclusion is: d. no conclusion can be drawn


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