The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A sample of nine motors was tested, and it was found that the mean current was x = 1.36 A, with a sample standard deviation of s = 0.49 A. Do the data indicate that the Toylot claim of 0.8 A is too low? (Use a 1% level of significance.) What are we testing in this problem? O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. Ο Η9: μ-0.8; H1: μ- 0.8 O Họ: p = 0.8; H1: p = 0.8 Ο Hρ μ 0.8; H: μ > 0.8 Ο Ηρ: μ 0.8; H: μ - 0.8 O Ho: p = 0.8; H1: p > 0.8 O Họ: p = 0.8; H1: p = 0.8 (b) What sampling distribution will you use? What assumptions are you making? O The standard normal, since we assume that x has a normal distribution with unknown o. O The Student's t, since we assume that x has a normal distribution with unknown o. O The standard normal, since we assume that x has a normal distribution with known o. O The Student's t, since we assume that x has a normal distribution with known o. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005

In a sample of 14 randomly selected high school seniors, the mean score on a standardized test was 1184 and the standard deviation was 162.8. Further research suggests that the population mean score on this test for high school seniors is 1014. Does the t-value for the original sample fall between - to 99 and to 99? Assume that the population of test scores for high school seniors is normally distributed. The t-value of t = fall between to.99 and to.99 because to.99 %3D (Round to two decimal places as needed.)

A survey collected data from a random sample of 121 people living in Jade city. The sample average of the distance people travel to reach their workplaces (Y) is 23.28 km and the standard deviation (sy) is 7.48 km. The standard error of the sample average of the distance people travel to reach their workplaces is 68 km. (Round your answer to two decimal places.) Let μy denote the mean of the distance all the people in Jade city travel to reach their workplaces. The p-value of the test Ho: #y #22 km vs. H₁: Hy #22 km is (Round your answer to two decimal places.)

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…

It takes an average of 10.8 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 46 injured patients to immediately tell the truth about the injury and noticed that they averaged 11.7 minutes for their blood to begin clotting after their injury. Their standard deviation was 2.98 minutes. What can be concluded at the the αα = 0.05 level of significance? The null and alternative hypotheses would be:   Please provide number    H0:H0:  mean =Correct __?__  H1:H1:  mean > Correct_  __?__ The test statistic t =  __?__ (please show your answer to 3 decimal places.) The p-value =  __?__ (Please show your answer to 4 decimal places.)

The level of calcium in the blood of healthy young adults follows a normal distribution with mean u = 10 milligrams per deciliter and standard deviation s = 0.4.  A clinic measures the blood calcium of 100 healthy pregnant young women at their first visit for prenatal care.  The sample mean of these 100 measurements is  X = 9.8.  Is this evidence that the mean calcium level in the population from which these women come is less than 10?  To answer this question, we perform the following hypothesis test: H0: u = 10, Ha: u < 10. What is the test statistic? (use two decimal places in your answer) What is the p-value equal to? At the 10% significance level, do you accept or reject the null hypothesis? Answer ACCEPT or REJECT t the 5% significance level, do you accept or reject the null hypothesis? Answer ACCEPT or REJECT

A standardized test is given to a sixth-grade class. Historically the mean score has been 151 with a standard deviation of 21. The superintendent believes that the standard deviation of performance may have recently decreased. She randomly sampled 23 students and found a mean of 161 with a standard deviation of 18.2898. Is there evidence that the standard deviation has decreased at the α=0.05 level? Step 1 of 5 : State of the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5 : Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5 : Make the decision. Step 5 of 5 : What is the conclusion?

Although, it is commonly believed that the mean for the human body temperature is 98.6 F, others doubt it. A random sample of 100 persons showed the mean body temperature to be 98.4 F with standard deviation of .76 F. At a .05 level of significance, find if the data indicates that the mean for the human body temperature is not equal to 98.6.  Find t*

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…

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5.8 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 26 samples is 5.9 ppm with a standard deviation of 0.6. Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses. Answer Ho: Ha: Tables Keypad Keyboard Shortcuts