You are interested in finding out the mean number of customers entering a 24-hour convenience store every 10-minutes. You suspect this can bemodeled by the Poisson distribution with a a mean of λ = 4.77 customers. You are to randomly pick n = 74 10-minute time frames, and observethe number of customers who enter the convenience store in each. After which, you are to average the 74 counts you have. That is, compute thevalue of X.(a) What can you expect the value of ✗ to be?Enter your answer using all the decimals you can.(b) Find the value of the standard deviation of X. Enter your answer using all the decimals you can.σχ(c) Find the probability that mean of the sample of 74 is between 1.6 and 4.9. If rounding only round once, at the end do not round before that.Ensure you use at least four decimals in your z-values.P(1.6 ≤ X ≤ 4.9)=☐Use at least four decimals in your answer.(d) 92% of the time, the observed value of X will exceed what value?(use at least four decimals in your answer)

Given:λ=4.77n=74 (a) The expected value of X̄ is equal to λ=4.77Answer: 4.77 (b) The standard…

Answered: You are interested in finding out the…

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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3.6 Triathlon times, Part II: The distribution for triathlon time varies depending on the population you are describing. The distribution for men ages 30 - 34 is N(µ=4337, o-593). The distribution for women ages 25 - 29 is N(H=5287, o=834). Note, these distributions list the triathlon times in seconds. Use this information to compute each of the following. Round all your answers to 2 decimal places. a) The cutoff time for the fastest 5.5% of athletes in the men's group, i.e. those who took the shortest 5.5% of time to finish. b) The cutoff time for the slowest 10% of athletes in the women's group.
Cardiovascular Disease Suppose the incidence rate of myocardial infarction (MI) was 5 per 1000 among 45- to 54-year-old men in 2000. To look at changes in incidence over time, 5000 men in this age group were followed for 1 year starting in 2010. Fifteen new cases of MI were found. Suppose that 25% of patients with Mi in 2000 died within 24 hours. This propartion is called the 24-hour case-fatality rate. Of the 15 new MI cases in the preceding study. 5 died within 24 hours. Test whether the 24-hour case- fatality rate changed from 2000 to 2010.
A researcher obtains a Pearson correlation of r= 0.60 for a sample of n= 6 pairs of X and Y scores. If the researcher tests the significance of the correlation . What value will be obtained for the t statistic?
Snapchat has more than 200 million daily users sending over 3 billion snaps a day. Suppose that: The time X between snaps you received is governed by: Exponential distribution, u = 8 minutes
t has been suggested that gossiping about others may affect how likeable you are. Two groups of participants are asked to read a vignette describing a fictional person. They are then asked to rate how much they would like the person described in the vignette on a continuous scale from 1-15, where higher scores represent a higher likability. The first group of participants (n=20) reads a vignette describing a person that frequently gossips and obtains an average likability score of (M1) with a variance of (S12). The second group of different participants (n=20) reads a vignette describing a person that never gossips and obtains an average likability score of (M2) with a variance of (S22). Given that there is not much research in this area, test the hypothesis that gossiping impacts likability at an alpha=0.05. 1, Are the results you obtained meaningful? report the results here for your effect size showing all your work and your interpretation 2. Report the results of the study…
Example 5.1.7 A car-hire firm has two cars, which are hired out everyday. The number of demands for a car on each day is distributed as a Poisson distribution with mean 1.5. Calculate the proportion of days on which neither car is used and the proportion of days on which a demand cannot be met due to lack of cars [e15 = 0.2231].
4. As fallen trees lie on the forest floor they slowly decay. Will the amount of light present have an impact on the rate of decay? In the following table x is a random variable representing the remaining percentage of total mass of a log after it was exposed to the elements for three weeks while y represents the numbers of hours of direct sunlight the log received each day. X 0.60 .70 .65 .82 .87 y 1.0 2.3 3.0 4.0 4.5 (a) Plot a scatter diagram of the data. Remember to label your axes appropriately and choose a consistent scale. (b) Based on a scatter diagram, would you estimate the correlation coefficient to be positive, close to zero, or negative? Please circle one of the following choices: A. Positive B. Close to zero C. Negative (c) Interpret your results from parts (a) and (b). 16 tv
A researcher is interested in hamster wheel-running activity during the summer versus the winter. She suspects that either the hamsters will run less during the winter to conserve energy or they will run more to keep warm. She records the activity of n = 25 hamsters during June, July, and August and compares their running-wheel revolutions per hour to the activity of the same hamsters during December, January, and February. The data are collected, and the results show an average difference score of MD - 5.7 and a sum of squares of SS = 2,851.44. What is the sample standard deviation (s) for the D scores? (one decimal)
A researcher collected data from a sample of correctional officers and found that, on average, they made 47,173 dollars a year with S=6,364. Assuming that their salaries were normally distributed what proportion of correctional officers make less than 40,000 dollars a year?
tration 20.28. The mean life of a sample of 10 electric bulbs was found to be 1456 hrs. With S.D.=423 hrs. A second sample of 17 bulbs chosen from a different batch showed a mean life of 1280- hrs with S.D=398 hrs. Is there a significant difference in the means of the two samples
If X has a mean μ and variance σ and Y = aX+b where a and b are constants: Find the mean, variance, and correlation coefficient between X and Y.

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