. Holmes, Malone, and Redenbach (2008) found that good readers and good spellers correctly read 90.2 ± 3 (M ± SD) words from a spelling list. On the other hand, average readers and poor spellers correctly read 70.8 ± 3.2 (M ± SD) words from the same spelling list. Assuming these data are normally distributed, answer the following ? What percentage of participants correctly read a least 92 words in the good readers and good spellers group? ? What percentage of participants correctly read a least 65 words in the average readers and poor spellers group?

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Holmes, Malone, and Redenbach (2008) found that
good readers and good spellers correctly read 90.2 ± 3
(MSD) words from a spelling list.
On the other hand, average readers and poor spellers
correctly read 70.8 ± 3.2 (M ± SD) words from the same
spelling list. Assuming these data are normally
distributed, answer the following
? What percentage of participants correctly read at
least 92 words in the good readers and good
spellers group?
? What percentage of participants correctly read at
least 65 words in the average readers and poor
spellers group?
Transcribed Image Text:Holmes, Malone, and Redenbach (2008) found that good readers and good spellers correctly read 90.2 ± 3 (MSD) words from a spelling list. On the other hand, average readers and poor spellers correctly read 70.8 ± 3.2 (M ± SD) words from the same spelling list. Assuming these data are normally distributed, answer the following ? What percentage of participants correctly read at least 92 words in the good readers and good spellers group? ? What percentage of participants correctly read at least 65 words in the average readers and poor spellers group?
Expert Solution
Step 1: Determine the given variables.

The question is about normal distribution.

Given :

Good readers and good spellers :

Population mean no. of words that are correctly read ( mu subscript 1 ) = 90.2

Population standard deviation of no. of words that are correctly read ( sigma subscript 1 ) = 3


Average readers and poor spellers :

Population mean no. of words that are correctly read ( mu subscript 2 ) = 70.8

Population standard deviation of no. of words that are correctly read ( sigma subscript 2 ) = 3.2


To find :

1 ) % of participants correctly read at least 92 words in the good readers and good spellers group.

2 ) % of participants correctly read at least 65 words in the average readers and poor spellers group.

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