The mean lifetime of solar lamps produced by JBC Company have a mean 1800 hours and standard deviation 100 hours. By a new procedure it is claimed that the lifetime of the lamps can be increased. To test this claim a sample of 50 lamps is tested and it is found that the mean lifetime is 1850 hours. Can we support the claim at a 0.01 level of significance?

The mean lifetime of solar lamps produced by JBC Company have a mean 1800 hours and standard deviation 100 hours. By a new procedure it is claimed that the lifetime of the lamps can be increased. To test this claim a sample of 50 lamps is tested and it is found that the mean lifetime is 1850 hours. Can we support the claim at a 0.01 level of significance?

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

In Maryland, bass fish were collected in 30 different lakes to measure the amount of mercury in the fish. The mean amount of mercury was = = 0.595 with standard deviation s = 0.3466. Estimate the mean amount of mercury in fish in Maryland lakes using a 99 % confidence level. Round your answers to three decimal places, and use four decimal places for any interim calculations. With between % confidence, it can said that the true mean amount of mercury in fish in Maryland lakes is and
A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the research and development division of the shoe company claims to have developed a longer lasting product. This new product was worn by 30 individuals and lasted on average for 17 months. The variability of the original shoe is estimated based on the standard deviation of the new group which is 5.5 months. Is the designer's claim of a better shoe supported by the trial results? Please base your decision on a two tailed testing using a level of significance of p < .05.
Facebook: A study showed that two years ago, the mean time spent per visit to Facebook was 20.8 minutes. Assume the standard deviation is a=8.0 minutes. Suppose that a simple random sample of 107 visits was selected this year and has a sample mean ofx18.8 minutes. A social scientist is interestec to know whether the mean time of Facebook visits has decreased. Use the a =0.10 level of significance and the critical value method with the table. (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion. Use the u =0.10 level of significance. Part: 0/5 Part 1 of 5 (a) State the null and alternate hypotheses. D-0 This hypothesis test is a (Choose one) v test. noht-talled
An
The tensile strength of steel bars produced by a manufacturer has a mean 30 MPa and the [10] standard deviation of 1.5MPa. By a new technique in the manufacturing process, it is claimed that the tensile strength can be improved. To test this claim, a sample of 50 steel bars is tested and it is found that the mean tensile strength is 30.5MPa. Can we support the claim at 0.01 level of significance?
The mean age when smokers first start is 13 years old with a population standard deviation of 1.9 years. A researcher thinks that smoking age has significantly changed since the invention of ENDS-electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 31 smokers found that their mean starting age was 12 years old. Do the data support the claim at the 1% significance level? What are the correct hypotheses? Ho: LU Test Statistic z = #v Critical Values =+ O OF 13 H₁: u Based on the hypotheses, find the following: 13 o years (Round to 4 decimal places.) (Round to 2 decimal places.) Based on the above we choose to Reject the null hypothesis years The correct summary would be: There is enough evidence to support the claim smokers first start is different than 13. that the mean age
The mean consumption of water per household in a city was 1239 cubic feet per month Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 92 househoids was found to be 1157 cubic feet per month. The population standard deviation is given to be 251 cubic feet a. Find the p-value for the hypothesis test that the mean consumption of water per household has decreased due to the campaipn by the city council. Would you reject the null hypothesis at a = 0.025? Round your answer to four decimal places. pvalue =i We b. Make the test of part a using the critical-value approach and a = 0.025. Round your answer for z to two decimal places. Zoberved We We conclude that the mean consumption of water per household has due to the campaign by the city council.
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 28 tires surveyed, the mean lifespan was 46500 miles. Using alpha = 0.05, can we prove that the data in inconsistent with the manufacturers claim? We should use a test. What are the correct hypotheses? H0: Ha: Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to . The correct conclusion would be:
At the alpha = 0.01 level , what is the correct conclusion for this test? The daily temperatures in fall and winter months in Virginia have a mean of 62F. A meteorologist in southwest Virginia believes the mean temperature is colder in this area. The meteorologist takes a random sample of 30 daily temperatures from the fall and winter months over the last five years in southwest Virginia. The mean temperature for the sample is 59 degrees * F with a standard deviation of 6.21 degrees * F The meteorologist conducts a one -sample t-test for and calculates a P value of 0.007. The meteorologist should reject the null hypothesis since 0.007 < 0.01 . There is convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62 F. The meteorologist should reject the null hypothesis since 0.007 < 0.01 . There is not convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62 F. The meteorologist…
A tire manufacturer claims that the mean life of its tire is 75,000 miles. The mean of a sample of 50 tires is 74,200 miles with a standard deviation of 2300 miles. Using an alpha of 5%, does the manufacturer’s claim appear to hold ture? Explain.
A manufacturer of TV tubes has for many years used a process giving a meantube life of 4700 hours and a standard deviation of 1460 hours. A new process is tried to see if it will increase the life significantly. A sample of 100new tubes gave a mean life of 5000 hours. Is the new process better than the old one at a 1% level of significance?
can someone help explain how to solve this? thanks