Response time is an important statistic for measuring the effectiveness of a fire department, and is measuredas the difference between the time a fire house receives a call and the time the first piece of fire equipmentleaves the station. The response times for fire departments in a large city are found to have an approximatelyNormal distribution, with a mean of 4.5 minutes and a standard deviation of 1.2 minutes. What percentage offire station response times are between 4 and 6 minutes?Find the z-table here.O 37.7%44.3%55.7%62.3%

Answered: Image /qna-images/answer/47571054-033c-45d4-990b-ea0ab964c1ae.jpg

Answered: Response time is an important statistic…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Tips given to taxi drivers form a substantial part of their income. They also serve as a loose metric of service quality that can be useful for taxi companies. An analysis of a large dataset shows that the tips given (as a percentage of taxi fares) are normally distributed with mean 21.3% and standard deviation 7.5%. Furthermore, tips received for different trips are independent from each other. taxi driver expects to do 2000 trips next year. For approximately how many of these trips will he receive a tip over 25%?
Students in the psychology department at General State University consumes an average of 7 sodas per day with a standard deviation of 2.5. the distribution is normal. Explain how you would go about answering the following questions (include your answer to the question in your response): How many sodas would an individual at the 75thpercentile drink per day?
A community college Math instructor feels that the average age of community college students decreased since they started teaching 25 years ago. Looking up data from the year the instructor started teaching, the mean age of community college students was 24.3 years old, with a population standard deviation of 2.2 years. The Math instructor took a sample of 40 of their current community college students and found that the sample had a mean age of 23.7 years old. Assume the population of ages of community college students is normally distributed and that the population standard deviation has remained the same. Test at the 5% significance level if the mean age of community college students is now less than 24.3 years old. Choose the correct answer from the parenthesis. (i) Hypotheses ?0: ? = ( 0, 2.2, 22.7, 24.3, 25, 40) ______________ . ?1: ? = ( < , > ) ______________ ( 0, 2.2, 22.7, 24.3, 25, 40) ________________ . (ii) Test Statistic ( z/ t )…
Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 34 and the age of the winner for best actress was 43. For all best actors, the mean age is 42.5 years and the standard deviation is 6.2 years. For all best actresses, the mean age is 31.9 years and the standard deviation is 11.2 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Question content area bottom Part 1 Since the z score for the actor is z=enter your response here and the z score for the actress is z=enter your response here, the ▼ actress actor had the more extreme age. (Round to two decimal places.)
Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 33 and the age of the winner for best actress was 47. For all best actors, the mean age is 44.4 years and the standard deviation is 6.5 years. For all best actresses, the mean age is 32.8 years and the standard deviation is 11.2 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Since the z score for the actor is z= and the z score for the actress is z = the V had the more extreme age. (Round to two decimal places.)
There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores is approximately Normal, with mean of 21.9 and standard deviation of 5.8. SAT scores are reported on a scale from 400 to 1600. The distribution of SAT scores is approximately Normal, with mean of 1,059 and standard deviation of 203. What ACT scores make up the top 10% of all the scores? Round to the nearest whole number.
The incomes of math tutors in a tutoring center of a university are normally distributed with a mean of $1100 and a standard deviation of $150 what percentage of tutors earn less than $900 a month
A company produces different types of drinks. It has been observed that the amount of drink in a bottle is normally disributed with a mean of 500 ml and a standard deviation of 4.75 ml. What percentage of the drink bottles contains 505 to 513 ml
Solar energy is considered by many to be the energy of the future. A recent survey was taken to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a three-bedroom house using gas or electric energy had a mean of $117 and a standard deviation of $13. If the distribution can be considered normal: Approximately what percentage of homes will have a monthly utility bill less than $78? Note: Do NOT include the "%" sign Do NOT round any decimals, if applicable
The income of trainess at a local mill are normally distributed with a mean of $1100 and a standard deviation of $150. What percentage of trainees earn less than $900 a month?
An analyst found that the average amount of money in bank accounts at his/her bank is $2,000 with a standard deviation of $150. What would be the variance?
The average McDonald's restaurant generates $3.3 million in sales each year with a standard deviation of 0.8. Skyler wants to know if the average sales generated by McDonald's restaurants in North Carolina is different than the worldwide average. He surveys 25 restaurants in North Carolina and finds the following data (in millions of dollars): 2.3, 0.9, 2.2, 2.8, 3.1, 3.1, 2.3, 2.6, 2.7, 2.7, 3.1, 3.9, 4.1, 4, 4.5, 1.8, 4.3, 2.7, 3.9, 3.5, 3.2, 1.7, 3.5, 2.9, 2.1 Perform a hypothesis test using a 4% level of significance. Step 1: State the null and alternative hypotheses. Но: ? ? v Ha: ? v (So we will be performing a Select an answer v test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v P(? v…

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