The life in hours of a 75-watt light bulb is known to be normally distributed with o = 25 hours. A random sample of 15 bulbs has amean life of I = 1014 hours.(a) Construct a 95% two-sided confidence interval on the mean life.Round your answers to the nearest integer (e.g. 9876).

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Answered: The life in hours of a 75-watt light…

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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One year, the mean age of an inmate on death row was 40.1 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 39.3, with a standard deviation of 9.9. Construct a 95% confidence interval about the mean age. What does the interval imply? Click the icon to view the table of critical t-values. C Choose the correct hypotheses. Ho: ▼ H₁₂: (Type integers or decimals. Do not round.) Construct a 95% confidence interval about the mean age. years and years. (Round to two decimal places as needed.) With 95% confidence, the mean age of a death row inmate is between What does the interval imply? O A. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude that the mean age had changed. O B. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the mean age…
One year, the mean age of an inmate on death row was 40.9 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 39.4, with a standard deviation of 9.5. Construct a 95% confidence interval about the mean age. What does the interval imply? Click the icon to view the table of critical t-values. Choose the correct hypotheses. Ho: H₁: (Type integers or decimals. Do not round.) Construct a 95% confidence interval about the mean age. With 95% confidence, the mean age of a death row inmate is between What does the interval imply? years and years. (Round to two decimal places as needed.) O A. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the mean age had changed. B. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude that the mean age had…
Give a 95% confidence interval for the true mean time students spent practicing for the play. x-bar=45.6 s=13.3 n=120
Dunlop Company conducts tests on tires life. For a particular tires, the standard deviation is 6000 kilometers, and The 68% of tires life failed between two values ( 102,000 78,000), what is the value of the mean life of Dunlop tires ?
A random sample of 76 eighth-grade students' scores on a national mathematics assessment test has a mean score of 273. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 33. At α=0.02, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). Part 1 (a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below. A.) H0: μ≥270 (claim) Ha: μ<270 B.) H0: μ≤270 (claim) Ha: μ>270 C.) H0: μ=270 (claim) Ha: μ>270 D.) H0:μ≤270 Ha: μ>270 (claim) E.) H0: μ<270 Ha: μ≥270 (claim) F.) H0: μ=270 Ha: μ>270 (claim) (b) Find the standardized z, and its coresponding area z=_____ (c) Find the P-value P-value =_____ (d) Decide whether to reject or fail the null…
The mean life span of an African savanna elephant in the wild used to be 60 years. A recent sample of 15 deceased elephants in the wild yielded a mean life span of 62 years. Assume a normally distributed population with = 6 years. Test if the population mean life span of African savanna elephants has increased, using a = 0.05. Select one: O a. p-value = 0.0984, do not reject Ho. O b. p-value = 0.0984, reject Ho. c. p-value = 0.1968, do not reject Ho. d. p-value = 0.4522, do not Reject Ho.
Why would the null hypothesis not be the mean lifespan of sexually inactive males (62.5)?
Standardized measures seem to indicate that the average level of anxiety has increased gradually over the past 50 years. (Twenge, 2000). In the 1950s , the average score on the Child Manifest Anxiety Scale was ?= 15.1. A sample of n = 16 of today's children produces a mean score of M = 23.3 with SS = 240. Based on the sample, has there been a significant increase in the average level of anxiety since the 1950s? Use a one-tail test with α= .05. ****Is the critical region 1.753? Positive or Negative?**
One year, the mean age of an inmate on death row was 38.1 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 36.9, with a standard deviation of 9.8. Construct a 95% confidence interval about the mean age. What does the interval imply? A Click the icon to view the table of critical t-values. Choose the correct hypotheses. Но (Type integers or decimals. Do not round.)
The NCHS reported that the mean total cholesterol level was 203 for all adults in 2003. Patients (n=15) were enrolled in a 6-week study to test the efficacy of a new drug. Use the five-step hypothesis testing procedure to determine if the new drug was effective in reducing the cholesterol levels compared to the historical mean. At the end of 6 weeks: ◦n = 15 ◦X ̅ = 195.9 ◦s = 28.7

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