General Electric Company claims that the life of LED light bulbs are has a mean life of 500 hours with the standard deviation of 50 hours. Test the claim of the manufacture if a random sample of 80 LED light tested and found out to be 450 hours only. Use 5% level of significanc
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The General Electric Company claims that the life of LED light bulbs are has a
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- It takes an average of 8.1 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 62 injured patients to immediately tell the truth about the injury and noticed that they averaged 7.8 minutes for their blood to begin clotting after their injury. Their standard deviation was 2.11 minutes. What can be concluded at the the a = 0.05 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 Hj: ? VSelect an answer V c. The test statistic ? V = (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is ? Va f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) | the null hypothesis. O The data suggest the population mean is not significantly less than 8.1 at a = 0.05, so…A normally distributed standardized English test is known to have a mean score of 73 and a standard deviation of 10. The test is given to 40 sophomore students and the class mean is 76. Using 1% level of significance, test if the population average is not 73.Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is μ = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s= 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than = 19 inches? Use α = 0.05. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: μ = 19 in; H₁: μ 19 in; H₁: μ = 19 in O Ho: μ 19 in (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and o is known. O The Student's t, since the sample size is large and o is known. O The standard normal, since the sample size is large and o is unknown. O The Student's t, since the sample size is large and is…
- Dr. Shoals predicts that people who walk a mile in moderately high heels and very high heels will differ in their levels of reported back pain. 27 participants walk in 4-inch heels and then 2.5-inch heels. He calculates the standard deviation of the difference scores and finds sD = 3.37. What is the standard error of the difference for difference scores?The annual per capita consumption of oranges (in pounds) in the United States can be approximated by a normal distribution. The mean annual per capita of oranges is 19.2 with a standard deviation of 4 pounds. what annual per capita consumption of oranges represents the 5th percentile?Assume that the mean amount of coffee dispensed is 6 ounces and a standard deviation is 0.5 ounce use the empirical rule. What percent of cups should have at least 6 ounces and what percent of cups should have less then 4.5 ounces of coffee?
- It takes an average of 9.1 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 49 injured patients to immediately tell the truth about the injury and noticed that they averaged 8 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.31 minutes. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Hint: Ho: ? H₁: ? Select an answer Select an answer C c. The test statistic? is -2.326. Enter it here d. The p-value is 0.0121364015. Enter it here e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) The data suggest the populaton mean is…It takes an average of 10.2 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 60 injured patients to immediately tell the truth about the injury and noticed that they averaged 10.1 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.62 minutes. 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 altemative hypotheses would be: Họ: Select an answer H1: ? Select an answer c. The test statistic (please show your answer to 3 decimal places.) d. The p-value = e. The p-value is (? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that .. (Please show your answer to 4 decimal places.) O The data suggest the population mean is not significantly less than 10.2 at a = 0.01, so there is…Steel rods are manufactured with a mean length of 25 centimeters. Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.08cm. Any rods that are shorter than 24.81cm or longer than 25.19cm are discarded. What proportion of the rods will be discarded?
- The time to smoke fish is normally distributed with an average of 5.3 hours and a standard deviation of 2.1 hours. What is the z score for a fish that take 10 hours to smoke?Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake isμ=19 inches. However, a survey reported that of a simple random sample of 38 fish caught, the mean length was 19.9 inches, with estimated standard deviation of 3.1 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is different from μ=19inches? Use α=0.001. What is the value of the test statistic? (Round your answer to two decimal places.)Find the P-value. (Round your answer to four decimal places.)A local community college reported that the average SAT score of its students is 960 with a standard deviation of 82. If a student scored 975 on the SAT, what is the student's z score? Did the student do better or worse on the SAT compared to the average student in the college?