The superintendent of a large school district, having once had a course in probability and statistics, believes that the number of teachers absent on any given day has a Poisson distribution with parameter \( \mu \). Use the accompanying data on absences for 50 days to obtain a 95% large-sample confidence interval (CI) for \( \mu \).| Number of absences | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 ||--------------------|---|---|---|----|---|---|---|---|---|---|----|| Frequency | 1 | 4 | 8 | 10 | 8 | 6 | 6 | 3 | 2 | 1 | 1 |**[Hint:** The mean and variance of a Poisson variable both equal \( \mu \), so \[Z = \frac{\bar{X} - \mu}{\sqrt{\mu/n}}\]has approximately a standard normal distribution. Now proceed as in the derivation of the interval for \( p \) by making a probability statement (with probability \( 1 - \alpha \)) and solving the resulting inequalities for \( \mu \).] (Round your answers to two decimal places.)**\[ (\hspace{3cm}, \hspace{3cm}) \]

Number of absenceFrequency011428310485666738291101

Answered: The superintendent of a large school…

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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A researcher takes sample temperatures in Fahrenheit of 16 days from San Francisco (Group 1) and 22 days from Atlanta (Group 2). Test the claim that the mean temperature in San Francisco is less than the mean temperature in Atlanta. Use a significance level of a = 0.10. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. Round answers to 4 decimal places. San Francisco 77.4 94.8 77 80.9 84 Ho: M₁ 73.4 84.9 92 60.6 83.6 92.5 76.3 93.4 87.2 81.5 70.4 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols for each of the 6 spaces. Atlanta 85.4 92.8 80.2 87.9 80.6 77.9 72.9 75.9 72.1 76.7 80.4 92.5 75.9 72.1 97.7 89.2 88.1 80 92.2 86 96.2 91.9 p-value H₁: M₁ Based on the hypotheses, find the following: Test Statistic = -0.635 X = 0.2494 × OH₂ The p-value is greater than alpha OF H₂ to alpha. The correct decision is to fail to reject the null hypothesis or The…
A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =
(c) The problem of illegal parking in front of a busy shopping center has been monitored by the building management. The frequency distribution of the number of violation tickets issued per day (from Monday to Friday during business hour) is as follows. Determine whether the Poisson distribution provides a good fit to the data at a confident level of 95% or not. Number of violation tickets Number of days 1 1 11 2 19 3 23 4 14 5 10 6. 4 7 2 >=8
If other factors are held constant, which of the following sets of data would produce the largest value for an independent-measures t statistic? Question 3 options: The two samples both have n = 15, with sample variances of 20 and 25. The two samples both have n = 15, with variances of 120 and 125. The two samples both have n = 30, with sample variances of 20 and 25. The two samples both have n = 30, with variances of 120 and 125.
For a marketing class term project, Bob is investigating whether college seniors eat lessfrequently in fast-food chains than college freshmen. He asked 11 freshmen and 11 seniors tokeep track of how many times they ate in a fast-food restaurant during the month of October.Assuming equal variances, can you conclude that the mean is significantly smaller for collegeseniors at the 5 percent level of significance?Seniors Freshmen10 165 919 1615 145 1810 1018 198 1520 97 178 20
The superintendent of a large school district, having once had a course in probability and statistics, believes that the number of teachers absent on any given day has a Poisson distribution with parameter u. Use the accompanying data on absences for 50 days to obtain a 95% large-sample CI for u. Number of absences 0 1 2 3 4 5 6 7 8 9 10 Frequency 1 4 7 11 9 6 6 2 2 1 1 [Hint: The mean and variance of a Poisson variable both equal u, so - Z = V H/n has approximately a standard normal distribution. Now proceed as in the derivation of the interval for p by making a probability statement (with probability 1 – a) and solving the resulting inequalities for u.] (Round your answers to two decimal places.) -
Historically it has been observed that patients admitted to a certain hospital for treatment of influenza spend a MEAN length of 4.4 days in the hospital. Every flu season, different strains of the flu circulate: Some years the primary strain causes more severe illness (and presumably longer than average hospital stays) and other years less so (meaning presumably shorter than average stays). We assume the hospital stays are NORMALLY distributed. a. A hospital wants to see how this year's flu season compares to previous years. Therefore, state the null and alternate hypotheses that would be used to test whether the hospital is seeing a mean hospital stay that is significantly DIFFERENT than the historical mean of 4.4 days. b. FIFTEEN patients admitted for influenza treatment are then randomly sampled and the length of their hospital stay in days is given below. 4641056443743774 SAMPLE MEAN =? SAMPLE STANDARD DEVIATION =? c. Using the results of part (b), determine what type of test is…
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