Police Academy Acceptance Exams To qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of 60 and a standard deviation of 13. If only the top 25% of the applicants are selected, find the cutoff score. Round z-value calculations to 2 decimal places and the final answer up to the nearest whole number. Cutoff score= X S

MATLAB: An Introduction with Applications
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**Police Academy Acceptance Exams**  
To qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of 60 and a standard deviation of 13. If only the top 25% of the applicants are selected, find the cutoff score. Round z-value calculations to 2 decimal places and the final answer up to the nearest whole number.

**Cutoff score =** [Input box]

Below this is an interface with an input box for the cutoff score, an "X" button to clear the input, and a circular arrow button to reset the calculation.

**Explanation:** This exercise requires using the properties of a normal distribution to determine a cutoff score that separates the top 25% of participants based on their test scores. The input requires understanding of z-scores and normal distribution percentiles.
Transcribed Image Text:**Police Academy Acceptance Exams** To qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of 60 and a standard deviation of 13. If only the top 25% of the applicants are selected, find the cutoff score. Round z-value calculations to 2 decimal places and the final answer up to the nearest whole number. **Cutoff score =** [Input box] Below this is an interface with an input box for the cutoff score, an "X" button to clear the input, and a circular arrow button to reset the calculation. **Explanation:** This exercise requires using the properties of a normal distribution to determine a cutoff score that separates the top 25% of participants based on their test scores. The input requires understanding of z-scores and normal distribution percentiles.
**Ages of Passenger Cars** 

The average age of passenger train cars is 19.4 years. If the distribution of ages is normal and 7% of the cars are older than 21.3 years, find the standard deviation. Round z-value calculations to 2 decimal places and the final answer to 2 decimal places.

The standard deviation must be [ ] years.

[There is an interactive input box for entering the answer, accompanied by clear or reset buttons.]
Transcribed Image Text:**Ages of Passenger Cars** The average age of passenger train cars is 19.4 years. If the distribution of ages is normal and 7% of the cars are older than 21.3 years, find the standard deviation. Round z-value calculations to 2 decimal places and the final answer to 2 decimal places. The standard deviation must be [ ] years. [There is an interactive input box for entering the answer, accompanied by clear or reset buttons.]
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Step 1: determine the given variable

Hello. Since your question has multiple, we will solve first question for you. If you want remaining QUESTION to be solved, then please resubmit the whole question




mu equals 60
sigma equals 13

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