4. A recent study of 19 students of San Rafael College showed that the mean of the distance they travel to go to school was 10.2 km. The standard deviation of the sample was 2.3 kilometers. Find the 99% confidence interval of the true mean.
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- 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 = 18.6 inches, with estimated standard deviation s = 3.4 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use α = 0.05. State the null and alternate hypotheses. What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. a) The Student's t, since the sample size is large and σ is unknown. b) The Student's t, since the sample size is large and σ is known. c) The standard normal, since the sample size is large and σ is known. d) The standard normal, since the sample size is large and σ is unknown.It takes an average of 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 62 injured patients to immediately tell the truth about the injury and noticed that they averaged 8.5 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.1 minutes. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: Hv Select an answer v Н: Select an answer v c. The test statistic t 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 f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the population mean is not significantly greater than 8 at a =…A standardized test has a pop. mean of 152 and a standard deviation of 16. Jenny has a z score of -0.56. If 500 students take the test, how many would likely score above Jenny?
- 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 51 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 2.7 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use ? = 0.05. a. What is the value of the sample test statistic? (Round your answer to three decimal places.)Assume that a data for pulse rates of 50 participants is ollected. The mean pulse rate has the mean of 70.2 beats per minute while the standart deviation of the pulse rates arises to be 12.2 per minute. Please answer whether 49 beats per minute belonging to one participant is significantly low or high? Explain briefly.A researcher believes the mean weight of male turtles is more than 205 pounds, she samples 18 male turtles and finds their mean to be 216.2 pounds with a standard deviation of 13.5 pounds. Find the P value
- It takes an average of 13.2 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 55 injured patients to immediately tell the truth about the injury and noticed that they averaged 13.1 minutes for their blood to begin clotting after their injury. Their standard deviation was 2.52 minutes. What can be concluded at the the a = 0.10 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: v 13.2 %3D H1: H v > c. The test statistic t 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 s va f. Based on this, we should reject g. Thus, the final conclusion is that ... the null hypothesis. O The data suggest that the population mean is not significantly less than 13.2 at a = 0.10, so there is…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…The scores for female students had a mean of 146 with standard deviation of 35. you can infer that 97.72% of the female students have scores above (give an x value)
- 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…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 51 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 μ = 19 inches? Use α = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ho: 19 in Ho: M = 19 in; H₁: μ # 19 in 1 Ho: M = 19 in; H₁: μ 19 in; H₁: μ = 19 in (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since the sample size is large and o is unknown. The Student's t, since the sample size is large and σ is known. The standard normal, since the sample size is large and σ is known. The standard normal, since the sample size is…It takes an average of 8.8 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 44 injured patients to immediately tell the truth about the injury and noticed that they averaged 8.4 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.98 minutes. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: %3D H1: c. The test statistic t v is -1.34. Enter it here (please show your answer to 3 decimal places.) d. The p-value is 0.0936337479. Enter it here (Please show your answer to 4 decimal places.) e. The p-value is > f. Based on this, we should fail to reject the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly less than 8.8 at…
