The following 1 questions (Qi to Q) are based on the following summarized resear

Question

The following 1 questions (Qi to Q) are based on the following summarized research (see below). Note that you will need the z-table/online calculator to complete many of these questions. Use of the Electronic Benefit Transfer (EBT), known as the Ohio Direction Card, in Ohio Farmers Markets is being promoted by the Office of Family Assistance, as they are committed to improving Ohios Food Assistance Program and the benefits offered to customers. Through the commitment of the Office of Family Assistance, individuals and families receiving food assistance benefits have access to shop for locally grown fresh fruits and vegetables while stimulating the local economy and agriculture. A data analyst studied the use of the EBT cards and found the amount of money spent (in dollars) by cardholders at Ohio Farmers' Markets is normally distributed with a mean of 5o and a standard deviation of 6. Q1: what is the z-score that cuts off the bottom 33% of this distribution? Q2: what is the raw score that cuts off the bottom 33% of this distribution? Q3: What is the z-score that corresponds to the raw score of $56? Q4: What is the z-score that corresponds to the raw score of s62? Qs: What percentage of cardholders spent between s56 and s62? Q6: What is the z-score associated with a raw score of 47?

Explanation / Answer

We are allowed to do 4 subparts question at a time. Post again for more subparts of question.

Mean = 50

SD = 6

1) Bottom 33% (i am taking bottom as left side)

z = - 0.44 (from normal table)

2) Raw score:

(x - 50)/6 = - 0.44

x = 47.36

3) score = 56

z = (56 - 50)/6

z = 1

4) x = 62

z = (62 - 50)/6

z = 2

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