**Problem Statement:**An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 30 hours. If a sample of 40 bulbs has an average life of 730 hours, find a 96% confidence interval for the population mean of all bulbs produced by this firm.- **Resources:** - [Standard Normal Distribution Table - Page 1](#) - [Standard Normal Distribution Table - Page 2](#) - [Table of Critical Values of the t-Distribution - Page 1](#) - [Table of Critical Values of the t-Distribution - Page 2](#)**Solution:**The confidence interval is \( \underline{\hspace{0.5cm}} < \mu < \underline{\hspace{0.5cm}} \).*(Please complete the calculation to find the interval.)*

It is given that the mean is 730 and the population standard deviation is 30.

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 30 hours. If a sample of 40 bulbs has an average life of 730 hours find a 96% confidence interval for the population mean of all bulbs produced by this firm. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. The confidence interval is <µ<

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 30 hours. If a sample of 40 bulbs has an average life of 730 hours find a 96% confidence interval for the population mean of all bulbs produced by this firm. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. The confidence interval is <µ<

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

Similar questions

A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 9 years. A survey of 69 companies reported in The Wall Street Journal found a sample mean tenure of 8.8 years for CEOs with a standard deviation of s=s= 4 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed.You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of α=0.10α=0.10. Your hypotheses are: Ho:μ=9Ho:μ=9 Ha:μ<9Ha:μ<9What is the test statistic for this sample?test statistic = (Report answer accurate to 3 decimal places.) What is the p-value for this sample?p-value = (Report answer accurate to 4 decimal places.) The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to...…
A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 9 years. A survey of 120 companies reported in The Wall Street Journal found a sample mean tenure of 7.3 years for CEOS with a standard deviation of s = 5.8 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed. You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of a = 0.001. Your hypotheses are: H.:µ 29 На : и <9 What is the test statistic for this sample? test statistic = * (Report answer accurate to 3 decimal places.) What is the p-value for this sample? p-value = * (Report answer accurate to 4 decimal places.)
It takes an average of 9.8 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will change if the patient is immediately told the truth about the injury. The EMT randomly selected 52 injured patients to immediately tell the truth about the injury and noticed that they averaged 10.7 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.98 minutes. What can be concluded at the the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean, z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer = ≠ < > H1:H1: ? p μ Select an answer < ≠ > = The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to reject accept…
A sample of 10 from population 1 has a mean of 32 and a standard deviation of 6. A sample of 13 from population 2 has a mean of 48 and a standard deviation of 8. The population standard deviations are unknown but assumed to be equal. Test the hypothesis, at the 1% level of significance, that the population means are the same. State your conclusion as a sentence and include the test statistic and the critical value.
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 35 hours. If a sample of 45 bulbs has an average life of 780 hours, find a 96% confidence interval for the population mean of all bulbs produced by this firm. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. |<µ<. (Round to the nearest integer as needed.) The confidence interval is
It takes an average of 14.5 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will increase if the patient is immediately told the truth about the injury. The EMT randomly selected 65 injured patients to immediately tell the truth about the injury and noticed that they averaged 15.4 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.05 minutes. What can be concluded at the the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly greater than 14.5 at αα = 0.05, so there is statistically significant…
The manufacturer of a particular brand of tires claims they average at least 50,000 miles before needing to be replaced. From past studies of this tire, it is known that the population standard deviation is 8,000 miles. A survey of tire owners was conducted. From the 21 tires surveyed, the mean lifespan was 41500 miles. Using alpha = 0.05, can we prove that the data in inconsistent with the manufacturers claim? What is the Test Statistic
The manufacturer of a particular brand of tires claims they average at least 50,000 miles before needing to be replaced. From past studies of this tire, it is known that the population standard deviation is 8,000 miles. A survey of tire owners was conducted. From the 23 tires surveyed, the mean lifespan was 43500 miles. Using alpha = 0.05, can we prove that the data in inconsistent with the manufacturers claim? We should use a t v test. What are the correct hypotheses? Ho: Select an answer v| ? v H Select an answer | ? v Based on the hypotheses, find the following: Test Statistic= p-value- The correct decision is to Select an answer The correct conclusion would be: Select an answer Question Help: M Message İnstructor Submit Question MacBook Pro FR.I END.S DD F8 F9 F10 F11 F12 F7 & 8 9 delete
It takes an average of 12.7 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will decline if the patient is immediately told the truth about the injury. The EMT randomly selected 51 injured patients to immediately tell the truth about the injury and noticed that they averaged 12.4 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.77 minutes. What can be concluded at the the αα = 0.10 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer > < ≠ = H1:H1: ? p μ Select an answer = < ≠ > The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject accept fail to reject…
A coin-operated drink machine was designed to discharge a mean of 7 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 9 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 6.77 fluid ounces and 0.27 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, μ, differs from 7 fluid ounces? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₁ : μ = 7 H₁ μ‡7 (b) Determine the type of test statistic to use. Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) t (d) Find the p-value. (Round to three or…