use the standard normal table to find the specified area.

between $z = -0.98$ and $z = -1.23$

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

the area that lies between $z = -0.98$ and $z = -1.23$ is .
(round to four decimal places as needed.)

Question

use the standard normal table to find the specified area.

between $z = -0.98$ and $z = -1.23$

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

the area that lies between $z = -0.98$ and $z = -1.23$ is  .
(round to four decimal places as needed.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Standard Normal Distribution", "Z-Score Table" ], "new_concepts": [], "current_concepts": [ "Standard Normal Distribution", "Z-Score Table" ] } ## Find cumulative probabilities from standard normal table $$ \begin{aligned} P(Z < -0.98) &= 0.1635 \ P(Z < -1.23) &= 0.1093 \end{aligned} $$ ## Calculate the area between the two z-scores $$ \begin{aligned} \text{Area} &= P(Z < -0.98) - P(Z < -1.23) \ &= 0.1635 - 0.1093 \ &= 0.0542 \end{aligned} $$ The area that lies between $z = -0.98$ and $z = -1.23$ is 0.0542. (Round to four decimal places as needed.) { "elements": [ { "type": "functiongraph", "params": [ { "js": "Math.exp(-x*x/2) / Math.sqrt(2*Math.PI)", "latex": "\frac{1}{\sqrt{2\pi}} e^{-\frac{x^2}{2}}" }, -4, 4 ], "properties": { "strokeColor": "#583C87", "strokeWidth": 2, "name": "Normal Curve" } }, { "type": "inequality", "params": [ { "js": "Math.exp(-x*x/2) / Math.sqrt(2*Math.PI)", "latex": "y \le f(x)" }, [-1.1, 0.05] ], "properties": { "inverse": false, "strict": false, "fillColor": "rgba(140, 85, 242, 0.4)", "strokeColor": "none" } }, { "type": "line", "params": [ [-1.23, 0], [-1.23, 0.4] ], "properties": { "strokeColor": "#F2557F", "strokeWidth": 1.5, "dash": 2, "name": "z = -1.23" } }, { "type": "line", "params": [ [-0.98, 0], [-0.98, 0.4] ], "properties": { "strokeColor": "#F2557F", "strokeWidth": 1.5, "dash": 2, "name": "z = -0.98" } } ], "timestamps": [0.5] } { "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 probabilities from standard normal table

Calculate the area between the two z-scores

Answer: