random sample of 225 nails in a manufacturing company is gathered. The engineer specified length of a nail must be 8 centimeters having a standard deviation of 0.04 centimeters. It shows that the average weight of the nails is 8.055 centimeters. Do the produced nails exceed the specification of the engineer at a 1% level of significance. 1. What is the null hypothesis of the problem? 2. What is the alternative hypothesis of the problem and what is the direction of the alternative hypothesis

random sample of 225 nails in a manufacturing company is gathered. The engineer specified length of a nail must be 8 centimeters having a standard deviation of 0.04 centimeters. It shows that the average weight of the nails is 8.055 centimeters. Do the produced nails exceed the specification of the engineer at a 1% level of significance. 1. What is the null hypothesis of the problem? 2. What is the alternative hypothesis of the problem and what is the direction of the alternative hypothesis

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...

See similar textbooks

Similar questions

The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1775 pounds and a standard deviation of 60 pounds. The company believes that, due to an improvement in the manufacturing process, the mean breaking strength, μ, of the cables is now greater than 1775 pounds. To see if this is the case, 90 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1788 pounds. Can we support, at the 0.05level of significance, the claim that the population mean breaking strength of the newly-manufactured cables is greater than 1775 pounds? Assume that the population standard deviation has not changed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. a. State the null hypothesis H0 and the alternative hyposthesis H1. b. Find the value of the test statistic. c. Find the p-value. d. Can we…
Currently patrons at the library speak at an average of 69 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 41 people speaking at the library. Their average decibel level was 67 and their standard deviation was 5. What can be concluded at the the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v| Select an answer v H1: ? v Select an answer v c. The test statistic ? v = (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 ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean has significantly decreased from 69 at a = 0.01, so there is statistically significant evidence to conclude that the population mean decibel…
The general population (Population 2) has a mean of 30 and a standard deviation of 5, and the cutoff Z score for significance in a study involving one participant is 1.96. If the raw score obtained by the participant is 45, what decisions should be made about the null and research hypotheses?
5. The variance on 17 bags of apples is found to be 5.5. The company that bags the apples claims that the standard deviation of its apples is 2. Test their claim. Use a = 0.05
A researcher wants to determine if there is a significant difference in the average math scores of two different teaching methods (Method A and Method B). He collects a sample of 50 students from each teaching method and calculates their scores. The sample mean score for Method A is 85 and the sample mean score for Method B is 80. The sample standard deviation for Method A is 4 and the sample standard deviation for Method B is 3. Conduct an independent samples t-test to determine if there is a significant difference in the average math scores of the two teaching methods at a significance level of 0.01.
Group A has 12 people and it is a random sample and they have an average heart rate of 100 and their standard deviation is 5. Group B has 18 people and their average heart rate is 90 and they have a standard deviation of 6. do these sample statistics provide sufficient evidence at a=0.01 to claim that the average heart rate for the population of group A is statistically greater than the heart rate of the population of group B?
The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1800 pounds and a standard deviation of 90 pounds. The company believes that, due to an improvement in the manufacturing process, the mean breaking strength, μ, of the cables is now greater than 1800 pounds. To see if this is the case, 100 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1818 pounds. Can we support, at the 0.05 level of significance, the claim that the population mean breaking strength of the newly- manufactured cables is greater than 1800 pounds? Assume that the population standard deviation has not changed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H :O 1 (b) Determine the…
The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1775 pounds and a standard deviation of 70 pounds. The Español company believes that, due to an improvement in the manufacturing process, the mean breaking strength, µ, of the cables is now greater than 1775 pounds. To see if this is the case, 16 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1806 pounds. Assume that the population is normally distributed. Can we support, at the 0.10 level of significance, the claim that the population mean breaking strength of the newly- manufactured cables is greater than 1775 pounds? Assume that the population standard deviation has not changed. Perform a one-tailed test. Then complete the parts below. 00 Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H,…
Suppose that a sample of size 52 is drawn from a population with mean 23 and standard deviation 39 . Find the value of , the standard deviation of the distribution of sample means.
An online stock trading company makes part of their revenue from clients when the clients trade stocks therefore, it is important to the company to have an good idea of how many trades its clients are making in a given year. In a sample of 98 clients of an online stock trading company, the average number of trades per year was 85 with a standard deviation of 17. If you were to test the hypothesis that the average number of trades per year is greater than the previous year when the average number of trades was 84 (using the 10% level of significance), what is the critical value? (please round your answer to 2 decimal places)
The average IQ level in the United States is 98 (standard deviation of 4). A sample of 200 people was selected from the city of Loma Linda and had an IQ average of 105. Assuming an alpha of 0.05, is the sample mean significantly greater than the population mean? 1. List the 5 steps needed for the hypothesis testing. Do not forget to make your conclusion in step 5. 2. Compute and interpret the effect size. Edit View Insert Format Tools Table 12pt ✓ Paragraph BIUA ✓ T² v
An online stock trading company makes part of their revenue from clients when the clients trade stocks therefore, it is important to the company to have an good idea of how many trades its clients are making in a given year. In a sample of 120 clients of an online stock trading company, the average number of trades per year was 82 with a standard deviation of 16. If you were to test the hypothesis that the average number of trades per year is different than the previous year when the average number of trades was 85 (using the 10% level of significance), the test statistic is -2.05 and the critical value is ± 1.65 . What is your conclusion concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesis