In a study of the relationship between measles vaccination and Guillain-Barre syndrome (GBS), Silveira et al. (A-16) used a Poisson model in the examination of the occurrence of GBS during latent periods after vaccinations. They conducted their study in Argentina, Brazil, Chile, and Colombia. They found that during the latent period, the rate of GBS was 1.28 cases per day. Using this estimate rounded to 1.3, find the probability on a given day of: (a) No cases of GBS (b) At least one case of GBS (c) Fewer than five cases of GBS

In a study of the relationship between measles vaccination and Guillain-Barre syndrome (GBS), Silveira et al. (A-16) used a Poisson model in the examination of the occurrence of GBS during latent periods after vaccinations. They conducted their study in Argentina, Brazil, Chile, and Colombia. They found that during the latent period, the rate of GBS was 1.28 cases per day. Using this estimate rounded to 1.3, find the probability on a given day of: (a) No cases of GBS (b) At least one case of GBS (c) Fewer than five cases of GBS

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

An economist studying inflation in electricity prices in 2018 and 2019 believes that the average price of electricity, even after adjusting for inflation, changed between these two years. To test his claim, he samples 9 different counties and records the average price of electricity in each county from each year. He then adjusts the prices for inflation. His results are given in the following table. Test the economist’s claim at the 0.02 level of significance assuming that the population distribution of the paired differences is approximately normal. Let prices in 2018 be Population 1 and prices in 2019 be Population 2. Average Residential Retail Prices of Electricity ($/kWh) 2018 2019 18.26 18.69 17.15 16.31 18.10 17.05 19.64 21.21 14.051 15.47 18.15 21.07 17.37 17.01 15.76 15.90 14.98 16.86 Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Step 2 of 3: Compute the value of the test statistic. Round your…
2. The city council is considering a law that would ban concealed weapons in all public facilities. A sample has been selected from the community and surveyed about support for the proposed ordinance. Is there a statistically significant relationship between age and support for the law against carrying concealed weapons (use p=.05, χ2(critical) = 3.841)? Use the five step model as a guide and write a sentence or two interpreting your results. Age Under 40 40 and older Support For 142 77 219 Against 106 170 276 248 247 495
In a study examining the effect of alcohol on reaction time, Liguori and Robinson (2001) found that evenmoderate alcohol consumption significantly slowed response time to an emergency situation in a drivingsimulation. In a similar study, researchers measured reaction time 30 minutes after participants consumed one6-ounce glass of wine. Again, they used a standardized driving simulation task for which the regular populationaverages μ = 400 msec. The distribution of reaction times is approximately normal with σ = 40. Assume that theresearcher obtained a sample mean of M = 422 for the n = 25 participants in the study.a. Are the data sufficient to conclude that the alcohol has a significant effect on reaction time? Use a two-tailed testwith α = .01.
An economist studying inflation in electricity prices in 2018 and 2019 believes that the average price of electricity, even after adjusting for inflation, changed between these two years. To test his claim, he samples 9 different counties and records the average price of electricity in each county from each year. He then adjusts the prices for inflation. His results are given in the following table. Test the economist's claim at the 0.05 level of significance assuming that the population distribution of the paired differences is approximately normal. Let prices in 2018 be Population 1 and prices in 2019 be Population 2. Average Residential Retail Prices of Electricity ($/kWh) 2018 2019 12.64 13.86 14.22 12.45 14.45 12.85 17.58 15.69 13.42 11.64 15.07 14.72 15.12 14.53 11.20 10.51 18.15 16.70 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
A study published by Babcock and Marks (2010) showed that the average full-time U.S. college student studied for μ = 14 hours per week (SD = 4.8 hours per week) in 2005. We want to know if this average has changed in the past 15 years. In other words, we are going to do a study in which we try to determine whether there has been an impact of the passage of time on the amount of time college students spend studying. We selected a sample of n = 64 of today’s college students and find that they spent an average of M = 12.5 hours per week studying. Does this sample indicate a significant change in the number of hours spent studying? Use a two-tailed test (this means non-directional hypothesis) with α = .05.
A 5-year study among 601 participants with retinitis pigmentosa assessed the effects of high-dose vitamin A (15,000 IU per day) and vitamin E (400 IU per day) on the course of their disease. One issue is to what extent supplementation with vitamin A affected their serum-retinol levels. The test used to analyze the effects of vitamins assumes that the distribution of serum retinol is approximately normal. To verify this assumption, the investigators obtained a frequency distribution of serum retinol at year O among males in the vitamin A group, with data as shown in the table below. The mean serum retinol for the group was 1.89 and the standard deviation was 0.36. n Serum- retinol group (μmol/L) ≤1.405 6 1.405-1.755 22 1.755-2.105 22 2.105-2.455 20 ≥2.455 3 1. Perform a statistical test to check on the normality assumption. Given your results, do you feel the assumption of normality is warranted? Why or why not?
The National Cancer Institute conducted a 2-year study to determine whether cancer death rates for areas near nuclear power plants are higher than for areas without nuclear facilities. A spokesperson for the Cancer Institute said, "From the data at hand, there was no convincing evidence of any increased risk of death from any of the cancers surveyed due to living near nuclear facilities." Let p denote the proportion of the population in areas near nuclear power plants who die of cancer during a given year. The researchers at the Cancer Institute have considered the null and alternative hypotheses below: А. Họ: p = value for areas without nuclear facilities Hạ: p> value for areas without nuclear facilities According to the spokesperson's statement, what is the conclusion of the National Cancer Institute? Select one of the following: Reject Ho Fail to reject Ho Reject Ha Fail to reject Ha
Oishi and Shigehiro (2010) report that people who move from home to home frequently as children tend to have lower than average levels of well-being as adults. To further examine this relationship, a psychologist obtains a sample of n = 12 young adults who each experienced five or more different homes before they were 16 years old. These participants were given a standardized well-being questionnaire for which the general population has an average score of µ = 40. The well-being scores for this sample are as follows: 38, 37, 41, 35, 42, 40, 33, 33, 36, 38, 32, 39 On the basis of this sample, is well-being for frequent movers significantly different from well-being in the general population? Use a two-tailed test with α = .05. The null hypothesis is H₀: . Complete the following table. M SS s² sMM t Critical Values Significant? Compute the estimated Cohen’s d to measure the size of the difference.…
An economist studying inflation in electricity prices in 2018 and 2019 believes that the average price of electricity, even after adjusting for inflation, changed between these two years. To test his claim, he samples 9 different counties and records the average price of electricity in each county from each year. He then adjusts the prices for inflation. His results are given in the following table. Test the economist’s claim at the 0.05 level of significance assuming that the population distribution of the paired differences is approximately normal. Let prices in 2018 be Population 1 and prices in 2019 be Population 2. Average Residential Retail Prices of Electricity ($/kWh) 2018 2019 19.32 18.19 15.00 13.69 11.20 12.72 14.48 14.51 14.15 12.23 19.17 17.21 13.13 11.29 17.62 15.89 19.06 17.71 Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below Step 2 of 3: Compute the value of the test statistic. Round your…
It has been hypothesized that allergies result from a lack of early childhood exposure to antigens. If this hypothesis were true, then we would expect allergies to be more common in very hygienic households with low levels of bacteria and other infectious agents. To test this theory, researchers at the University of Colorado sampled the houses of 61 children 9-24 months old and recorded two variables: (1) whether the child tested positive for allergies and (2) the concentration of bacterial endotoxin in the house dust (endotoxin units per ml, EU/ml)1. The following are the endotoxin levels at the homes of the 51 children tested negative for allergies. 708.23 911.60 976.81 1316.63 262.74 9772.08 370.76 229.16 2570.51891.19 3163.20 1777.65 1288.57 436.23 2631.63 1173.52 911.67 7942.42 740.32 356.92 1175.48 1480.55 2754.61 575.62 573.89 468.26 1000.71 364.22 1025.26 1022.04 645.41 363.57 977.47 1022.75 1860.63 371.13 174.73 399.68 1479.77 2882.96…
A study investigated the joint effects of sleep quality and sleep duration on the development of coronary heart disease (CHD). A total of 60,586 individuals aged 40 and older with no current or prior history of CHD were enrolled into the study. A self-administered questionnaire was used to collect information on sleep quality and duration at the start of the study, and 43,910 participants reported getting ³6 hours of sleep per day. Participants were followed for approximately 12 years, for a total of 152,000 person-years among those getting <6 hours sleep/day and 527,000 person-years among those getting ³6 hours sleep/day. Out of 2,740 participants who developed CHD throughout follow-up, 721 participants reported getting <6 hours of sleep per day at baseline. Question 10: What is the incidence rate of coronary heart disease among all participants in the study?
Denny studied factors affecting cardiovascular reactivity to a postural change in a sample of healthy men and women. Change in systolic blood pressure (SBP) from supine to standing position was used as the measure of cardiac reactivity in a sample of 842 adults. Supine measurement of blood pressure was taken after participants had lain on an examination table for 15 minutes. Blood pressure was determined every 30 seconds using a Dinamap device for 2 minutes, and the measurements were averaged. Participants then stood up immediately, and additional measurements were made for another 2 minutes. Below is a table describing the characteristics of Denny’s sample: Which measures of dispersion, if any, are presented in this table (Ranges, SDs)? If age is normally distributed, approximately what percent of the sample would be younger than 50? If BMI is normally distributed, approximately what percent of the sample would have a BMI higher than 33.1?