use the standard normal distribution table to determine the percent of data between z = -1.49 and z = 0.77.

click here to view page 1 of the standard normal distribution table.
click here to view page 2 of the standard normal distribution table.

the percent of data between z = -1.49 and z = 0.77 is %.
(round to two decimal places as needed.)

Question

use the standard normal distribution table to determine the percent of data between z = -1.49 and z = 0.77.

click here to view page 1 of the standard normal distribution table.
click here to view page 2 of the standard normal distribution table.

the percent of data between z = -1.49 and z = 0.77 is  %.
(round to two decimal places as needed.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Standard Normal Distribution", "Z-Score Table" ], "new_concepts": [], "current_concepts": [ "Standard Normal Distribution", "Z-Score Table" ] } ## Find cumulative area for z = 0.77 and z = -1.49 $$ \begin{aligned} P(Z < 0.77) &= 0.7794 \ P(Z < -1.49) &= 0.0681 \end{aligned} $$ ## Calculate the area between the two z-scores $$ \begin{aligned} P(-1.49 < Z < 0.77) &= P(Z < 0.77) - P(Z < -1.49) \ &= 0.7794 - 0.0681 \ &= 0.7113 \end{aligned} $$ ## Convert the area to a percentage $$ \begin{aligned} \text{Percentage} &= 0.7113 \times 100\% \ &= 71.13\% \end{aligned} $$ The percent of data between z = -1.49 and z = 0.77 is 71.13%. (Round to two decimal places as needed.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Standard Normal Distribution" ] }

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QUESTION IMAGE

Question

Explanation:

Find cumulative area for z = 0.77 and z = -1.49

Calculate the area between the two z-scores

Convert the area to a percentage

Answer: