An article reported that for a sample of 54 kitchens with gas cooking appliances monitored during a one-week period, the sample mean CO₂ level(ppm) was 654.16, and the sample standard deviation was 166.42.(a) Calculate and interpret a 95% (two-sided) confidence interval for true average CO2 level in the population of all homes from whichthe sample was selected. (Round your answers to two decimal places.)ppmInterpret the resulting interval.o We are 95% confident that this interval does not contain the true population mean.confident that the true population mean lies below this interval.O We are 95%O We are 95%confident that the true population mean lies above this interval.We are 95% confident that this interval contains the true population mean.(b) Suppose the investigators had made a rough guess of 179 for the value of s before collecting data. What sample size would benecessary to obtain an interval width of 54 ppm for a confidence level of 95% ? (Round your answer up to the nearest whole number.)kitchens

Answered: An article reported that for a sample…

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...

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QUESTION 2 In 2003, Major League Baseball took steps to speed up the paly of baseball games and make games a more consistent duration. In a sample of 41 games in 2002, the average duration of a game was 2 hours and 58 minutes with a standard deviation of 30 minutes. A similar survey in 2003 of 31 games found that the average duration was 2 hours and 40 minutes with a standard deviation of 22 minutes. When testing the hypothesis (at the 10% level of significance) that the variance has been reduced, what is the critical value? (please round your answer to 2 decimal places)
A sample of size n = 36 is drawn from a population whose standard deviation is σ = 15.6. The sample mean is x = 94.5. Construct a 95% confidence interval.
The mean pulse rate for adult males is approximately 61.4 beats per minute. In a sample of 27 overweight males, the mean pulse rate was 62.1 beats per minute with a standard deviation of 4.19 beats per minute. Test at a = 0.10 whether these findings suggest that the mean pulse rate for all such overweight males is significantly greater than 61.4. You obtain a sample of size 27 with a mean of 62.1 and a standard deviation of 4.19. You believe that the population is normally distributed. (a). The null and alternative hypotheses are O Ho: ữ = 62.1 Ha:ữ > 62.1 Ho:µ = 61.4 Ha: µ > 61.4 Ο H0: μ = 61.4 На:р 62.1 Part 2 of 4 (b). The test statistic is (use 4 decimal places)
What would be the correct way of doing this?
3.3.15 Use z scores to compare the given values. Based on sample data, newborn males have weights with a mean of 3293.7 g and a standard deviation of 551.3 g. Newborn females have weights with a mean of 3000.6 g and a standard deviation of 590.5 g Who has the weight that is more extreme relative to the group from which they came; a male who weighs 1700 g or a female who weighs 1700 g? V has the weight that is more extreme. Since the z score for the male is z= and the z score for the female isz= the (Round to two decimal places.)
An article reported that for a sample of 51 kitchens with gas cooking appliances monitored during a one-week period, the sample mean CO₂ level (ppm) was 654.16, and the sample standard deviation was 166.08. (a) Calculate and interpret a 95% (two-sided) confidence interval for true average CO₂ level in the population of all homes from which the sample was selected. (Round your answers to two decimal places.) ppm Interpret the resulting interval. O We are 95% confident that the true population mean lies below this interval. O We are 95% confident that this interval contains the true population mean. O We are 95% confident that the true population mean lies above this interval. O We are 95% confident that this interval does not contain the true population mean. (b) Suppose the investigators had made a rough guess of 185 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of 41 ppm for a confidence level of 95%? (Round your answer up…
An article reported that for a sample of 44 kitchens with gas cooking appliances monitored during a one-week period, the sample mean CO2 level (ppm) was 654.16, and the sample standard deviation was 163.02. (b) Suppose the investigators had made a rough guess of 182 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of 60 ppm for a confidence level of 95%? (Round your answer up to the nearest whole number.)
Consider a small scale example, comparing how temperatures have changed in the US from 1968 to 2008. The daily high temperature reading on January 1 was collected in 1968 and 2008 for 51 randomly selected locations in the continental US. The locations are the same for both years. The difference between the two readings (temperature in 2008 - temperature in 1968) was calculated for each of the 51 different locations. The average of these 51 values was 1.24 degrees with a standard deviation of 4.25 degrees. We are interested in determining whether this provides strong evidence of temperature warming in the continental US. (Does the data provide evidence that the true mean temperature is greater in 2008 than in 1968?) Justify by using a confidence interval or a hypothesis test with α = 0.05. What type of error are you in danger of making?
tion. Use this information to construct the 90% and 95% confidence intervals fc of the confidence intervals. ce of a certain stock was $123.13. Assume the population standard deviation is
A researcher believes that the mean of a population is 45.2. She collects data from a sample (n = 81) and finds that the sample mean is 40.4, with a standard deviation of 19. Construct a 90% confidence interval to determine whether 45.2 is a reasonable hypothesis about the value of mu.
Hunter is writing a report on the backgrounds of American presidents. He finds that the mean age of the 45 presidents is 55 years with the standard deviation of 6.59 years. Because Hunter took a statistics course, he calculates a 95% confidence interval for the mean age of all men who have been president to be 55 ± 1.98. Comment on this result. Question 8 options: Hunter can be 95% confident that the mean age of all presidents is 55 years. 95% of all the ages of the presidents lie between 55 ± 1.98. Hunter should have taken a larger sample to reduce the margin of error. Hunter is 95% confident that the mean age of all presidents lies between 53.02 and 56.98 years. The confidence interval makes no sense since Hunter has the entire population of ages.
Question 20. part b. Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at rural hospitals have a lower waiting time? The 14 randomly selected patients who went to the emergency room at rural hospitals waited an average of 5.8 hours to be admitted into the hospital. The standard deviation for these 14 patients was 1.7 hours. What can be concluded at the the αα = 0.05 level of significance level of significance? C.)The test statistic ?, z or t = ____ (please show your answer to 3 decimal places.) D.)The p-value = ______ (Please show your answer to 4 decimal places.) E.) The p-value is ?, ≤ , > α

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