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 large-sample CI for u. [Hint: The meanand variance of a Poisson variable both equal µ, soZ =VH/nhas approximately a standard normal distribution. Now proceed as in the derivation of the interval for pby making a probability statement (with probability 1 – a) and solving the resulting inequalities for e –see the argument just after (7.10).]Number of2479.absencesFrequency1481087211

The above equation is in the quadratic form

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 parame Use the accompanying data on absences for 50 days to obtain a large-sample CI for µ. [Hint: The m and variance of a Poisson variable both equal µ, so Z = VH/n

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 parame Use the accompanying data on absences for 50 days to obtain a large-sample CI for µ. [Hint: The m and variance of a Poisson variable both equal µ, so Z = VH/n

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Find the critical F-value for the following right-tailed. Test the difference between variances α=…

A: The level of significance is α = 0.01.

Q: population is normally distributed. Complete parts (a) through (e) below. nts O A. Ho: o+1.11 OB.…

A: Solution

Q: A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean…

A: which hypothesis is the claim ?

Q: Suppose random variable X follows a normal distribution with mean 10. If 16% of observations from…

Q: A synoptic uses Bernoulli random variable X to describe the weather conditions within one year…

Q: Employees of a large corporation are concerned about the declining quality of medical services…

Q: teachers absent on any given day has a Poisson distribution with parameter u. Use the accompanying…

Q: has approximately a standard normal distribution. Now proceed as in the derivation of the interval…

A: Provided data is: No. of absence Frequency 0 1 1 3 2 7 3 12 4 8…

Q: A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in…

A: Given σ2=1.36, n=16, s2=1.27, ɑ=0.01

Q: The dean of a university estimates that the mean number of classroom hours per week for full-time…

Q: What is the Discrete Variable Variance for the following numbers:x = 0 and P(X = x) = 0.71x = 1 and…

A: We are given the following probability distribution:xi0123P(X = xi)0.710.170.010.11To find the…

Q: The range is completely determined by the two extreme score in a distribution. The standart…

A: a.)The observations are 0,6,6,12.The range of the scores is the difference between the highest score…

Q: A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in…

A: Consider that σ2 is the population variance of the number of grams of carbohydrates in serving of…

Q: Find the mean and the variance of T, and find P(T ≤10) to four decimal places. Part 1 out of 3 The…

A: Answer:- Poisson distribution: It is a process in which events occur continuously and independently…

Q: emergency

A: We know that, Pd.f. of Poisson process, p(x)= e-lembda*t (lembda*t)x/x! Here given that mean,…

Q: In a within groups design, what will happen to the t statistic if the variance of the difference…

A: We have given the following statement about the t - statistics

Q: A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in…

A: Given data : sample size, n = 22 population variance,σ^2= 1.39 sample…

Q: Given that the variances of random variables X and Y are 400 and 900, respectively. The correlation…

A: Basic

Q: A pet association claims that the mean annual cost of food for dogs and cats are the same. The…

A: Given data is For Dogsx1=244s1=37n1=15For catsx2=209s2=33n2=9α=0.01

Q: (a) Compute a 95% CI for µ (b) Compute a 99% CI for µ. (c) Which of the two intervals has bigger…

A: Xbar=20.1, n=50, variance(sigma^2)=10

Q: The dean of a university estimates that the mean number of classroom hours per week for full-time…

A: Given population mean, μ=11.0 alpha=0.10 sample size, n=8, and df=8-1=7 sample values: 12.4 8.7…

Q: can you help me understand these questions?

Q: The superintendent of a large school district, having once had a course in probability and…

A: Number of absenceFrequency011428310485666738291101

Q: A researcher prepared a figure showing sample quantiles as a function of the quantiles of a standard…

A: Introduction: For a normally distributed random variable, X with mean μ, and standard deviation σ,…

Q: 11.2 A sample is selected from a population mean of u = 30. A treatment is administered to the…

A: Given : Population mean = μ = 30 Sample mean = x = 31.3 Sample Variance = s2 = 12 Sample Standard…

Q: Find the variance of this variable. O 1.40 O 1.49 O 1.88 O 1.97

A: It is given that the random variable X i.e, defects in batch.

Q: What is the Discrete Variable Variance for the following numbers:x = 0 and P(X = x) = 0.19x = 1 and…

A: The objective of this question is to calculate the variance of a discrete random variable. Variance…

Q: Suppose you would like to keep a test tube at 48F (exactly), but your refrigeration unit exhibits…

A: The thermostat and be 95% sure that the true temperature is no more than 48 degree F

Q: 11.1.5An experiment to compare k= 4 factor levels has m₁ = 12 and x₁ = 16.09, n₂ = 8 and x₂ = 21.55,…

A: The provided information is as follows:The factor level is ...The total sum of squares is

Q: In a random sample of 29 residents living in major cities on the West Coast (Group 1) and 29…

A: The z test is the model of parametric test. Z test follow the assumption of normal distribution. It…

Q: Suppose that arrival times at a certain emergency care center are following a Poisson process with a…

A: Given information- We have given that arrival times at a certain emergency care center are following…

Q: (a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho…

A: Let be the population means no. of classroom hours per week.Given that,Population mean Sample size…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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 large-sample CI for u. [Hint: The mean
and variance of a Poisson variable both equal µ, so
Z =
VH/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 e –
see the argument just after (7.10).]
Number of
2
4
7
9.
absences
Frequency
1
4
8
10
8
7
2
1
1

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Experiment 3: Fifteen female CSCC students and 10 male CSCC students are randomly selected to determine if the mean time studying for females is significantly more than the mean study time for males. It can be assumed that all study times are normally distributed. Are these samples independent or dependent? Find the null and alternative hypothesis. H0: Ha:
Which statement is not correct?A. Spurious correlation can often be reduced by expressing X and Y in per capita terms.B. Autocorrelation is mainly a concern if we are using time - series data.C. Heteroscedastic residuals will have roughly the same variance for any value of X.D. Standardized residuals make it easy to identify outliers or instances of poor fit. ( don't hand writing solution)
Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows. 6.40 7.06 7.03 7.17 6.96 7.31 7.18 5.79 6.24 5.91 6.14 Use a calculator to verify that, for this plot, the sample variance is s2 x (0.317. Another random sample of years for a second plot gave the following annual wheat production (in pounds). 7.10 7.03 8.15 5.91 7.22 5.58 5.47 5.86 Use a calculator to verify that the sample variance for this plot is s2 0.933. Test the clalm that there is a difference (eilther way) in the population variance of whcat straw production for thesc two plots. Use a 5% level of signifcance. (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O H, 0,2 = 0,2; H,0,? >0,? O H,i 0,> 0,, H;:0,² = 0, O H, 0, = 0,; H; 0,?>0,? 2. 2 1 01 %3D (b) Find the value of the sattiple F statistlc. (Usc 2 decimal places.) Whal are the degrees of…
A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.34. A dietician is asked to test this claim and finds that a random sample of 16 servings has a variance of 1.22. At α=0.05, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below.
Suppose the data shown here are the results of a survey to investigate gas prices. Ten service stations were selected randomly in each of two cities and the figures represent the prices of a litre of unleaded regular gas on a given day. Use the F test to determine whether there is a significant difference in the variances of the prices of unleaded regular gas between these two cities. Let α = 0.01. Assume gas prices are normally distributed. Observed F = ? enter an appropriate value rounded to 4 decimal places The decision is to ? (reject the null hypothesisfail to reject the null hypothesis)
Suppose that weights of college mathematics textbooks in the United States are normally distributed with mean µ = 2.25 lbs and variance σ2 = 0.2025 lbs. Find the weight that corresponds to Q3 and interpret this measure of position in the context of the problem.
The mean height of 15-year-old boys (in em) is 175 and the variance is 64. For girls, the mean is 165 and the variance is 64. Assuming that the two populations are nomally distributed. If eight boys and eight girls were sampled, then the probability that the mean height of the sample of boys would be higher than the mean height of the sample of girls 18: O 0 9878 O 0.0062 O 0.9938 0 9972 Let E[X(Y-1)] 10, E[X(Y#1)] 20, V(X) Then E(Y) 8. V(Y) 12 and V(X+Y) 30. O 14/5 12/5 2
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.) -
An experiment where a patient's blood pressure is measured before a treatment (call it X;) and after the treatment (call it Y;). The difference in the blood pressue of each patient, Z; = Y; – X; is also recorded. The sample size n of patients is large. Suppose the true population mean of the patient's blood pressure before treatment is 41 and after treatment is 42, both unknown. Suppose the true population variance of the patient's blood pressue before and after treatment are the same, but unknown. Find an approximate 1-a confidence interval for 12 - 41- 2.
Given that the variances of random variables X and Y are 484 and 625, respectively. The correlation between X and Y is -0.52. Find Var (X-Y).