Q4a) The company which produce light bulb claims that the mean lifetime of their light bulbs is 1600 hours. To test it claim, the companytook a random sample of 6 light bulbs and the following results wereobtained:1640,1635,1580,1533,1630,1690(i) Compute the sample mean and the sample variance.(ii) Is there any evidence that support company claim at 10%level of significance?(iii) Find the 90% confidence interval for the mean life time of alight bulb.a) The weights of bags of sugar from a production line are normallydistributed with a mean of 500g and standard deviation of 2g. A bagis selected at random, what is the probability that :(i) It will have a weight between 498g and 502g?(ii) It will have a weight of more than 505g?

The mean lifetime of light bulbs is 1600 hours.Sample size Sample data: 1640, 1635, 1580, 1533,…

Answered: a) The company which produce light bulb…

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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Given that the researcher wants to be sure the mean difference in the change in hemoglobin levels has a margin of error no more than 0.2 g/dL and the difference in the stand deviation between the mean hemoglobin levels for the two forms of iron supplements used to treat anemia is 1.2 g/dL, what is the desired number of recruits for the study, assuming the individuals will participate in a crossover trial, if the study’s attrition rate is expected to be .25? Group of answer choices n = 139 n = 554 n = 185 n = 55,320
A sample of 28 adults attending a country fair determined that the mean age was 33 .given that the population standard deviation is known to be 12 determine the 99% confidence interval for the population mean age (round to two decimals)
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An auditor takes a random sample of 880880 invoices from the 9510 invoices relating to the activities of a company in 2019. The sample mean value of the sampled invoices was £126 and the sample standard deviation was £58. Find a 99% confidence interval for the mean value of all the invoices for 2019. Round to 3 decimal places The records of the company states that the total income from the 9510 invoices was £1150710. The auditor's sample evidence does not support this stated total. True or false? What is the probability, rounded to 3 decimal places, that the company's income does not exceed the value in the records?
During the past year, the flight times between two cities was reported to have a population standard deviation of 20 minutes. What would the margin of error be if a sample of 64 was used for estimating the mean flight time between the two cities and with a confidence level of 95%
Suppose you sample six people on their number of visits to Chick-fil-A in a month given by variable Y. Y = 3,6,7,10,15,19 (A) What is the mean of Y? Standard Deviation of Y?(B) What is the Standard Error of Y?(C) Construct 90% and 95% Confidence Intervals for Y.
Is narcissism a more common personality trait today than it was a few decades ago? It is known that the mean population score on the Narcissistic Personality Inventory (NPI) for students attending University of South Alabama around 20 years ago was μ= 15 (Twenge, 2010). Interested in the narcissism levels of students in the year 2020, a researcher administers the NPI to a random sample of 25 University of Alabama sophomores this Spring term. The mean NPI score from the researcher’s sample of sophomores is M = 16.5, with s = 3.4. 1. Write the null and alternative hypotheses in symbols. Possible symbols for your answer: H0, H1, μ, M, σ. 2. Calculate the standard error. 3. Find the critical value for the test statistic, assuming alpha = .05 (Use largest [i.e., most conservative] value if exact value not given in the chart) a) 2.064 b) 1.96 c) 1.98 d) 2.000
Can you solve this problem about the confidence interval?
In a psychological experiment, 36 people (subjects) are selected randomly. The variableof interest is their reaction time to a particular stimulus (in seconds). Historical datastates that the variance in reaction times is 4 sec2and that the distribution of reactiontimes is approximately normal. The average time for the randomly selected subjects is6.2 seconds. What is the point estimate of this study? Based on this information, construct a 99% confidence interval for themean reaction time. Interpret the confidence interval that you obtained in (b).
The Aloha Taxi Cab Company of Honolulu, Hawaii, wants to estimate the mean life of tires on its cabs. A random sample of 15 tires from the cabs are found to have a life of 18,280 miles with sample standard deviation of 1,310 miles. Find a 90% confidence interval for the mean life of all such tires on Aloha Taxi Cabs.
For a random sample of 64 overweight men, the mean of the number of pounds that they were overweight was 30. The standard deviation of the population is 4.2 pounds. (a) Find the best point estimate for the average number of excess pounds for all overweight men. (b) Construct a 95% confidence interval of the mean of these pounds.

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