The hypothesis test Ho: P420 H₁: 4 <0 is to be carried out for a random sample of 31. d-1.8 and the test statistic is found to be t-0.91944732597193. What is the standard deviation for the differences in the sample?
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- A clinical researcher performs a clinical trial on 12 patients to determine whether a drug treatment has an effect on serum glucose. The sample mean glucose of the patients before and after the treatment are summarized in the following table. The sample standard deviation of the differences was 6. Sample mean glucose (mg/dL) Before treatment 114 After treatment 108 What type of hypothesis test should be performed?Select: Left-tailed z-test Unpaired t-test Two-tailed z-test Paired t-test What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist to support the claim that the drug treatment has an effect on serum glucose at the α=0.05 significance level? Select: _____Yes OR _____NoA sample of 20 observation is selected from a normal population, the sample mean is 2.78 and the standard deviation is 0.83. Another sample of 18 observation was selected and the mean is 2.63 with standard deviation of 0.75. Test at 0.01 level of significance. What is the computed value and decision.A simple random sample of 95 basketball players is taken from different teams and their mean weight is found to be 226 pounds and the standard deviation of the population is 20 pounds. Using 0.05 level of significance , test the claim that the average weight for all basketball players is 231 pounds.
- Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 112(a) If 1 man is randomly selected, find the probability that his score is at least 570.(b) If 19 men are randomly selected, find the probability that their mean score is at least 570.19 randomly selected men were given a review course before taking the SAT test. If their mean score is 570, is there a strong evidence to support the claim that the course is actually effective?(Enter YES or NO)Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than24 miles per day. She selects a random sample of 25 drivers over the age of 60 and finds that the mean number of miles driven is 23.4. The population standard deviation is 4.1 miles. At=α0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. State the hypotheses and identify the claim with the correct hypothesis. :H0 =μ24 ▼not claim :H1 <μ24 ▼claim the hypothesis test is a ▼one-tailed test. Part 2 of 5 Find the critical value(s). Round the answer to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s):Facebook: A study showed that two years ago, the mean time spent per visit to Facebook was 19.8 minutes. Assume the standard deviation is o=10.0 minutes. Suppose that a simple random sample of 101 visits was selected this year and has a sample mean of x =22.8 minutes. A social scientist is interested to know whether the mean time of Facebook visits has increased. Use the a=0.10 level of significance and the P-value method with the TI-84 calculator. (a) State the appropriate null and alternate hypotheses. (b) Compute the P-value. (c) State a conclusion. Use the a=0.10 level of significance. Part: 0/ 4 Part 1 of 4 (a) State the appropriate null and alternate hypotheses. Ho ODaily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 25 drivers over the age of 60 and finds that the mean number of miles driven is 23.4. The population standard deviation is 4.1 miles. At a = 0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. Part: 0 / 5 Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. Ho: (Choose one) OA clinical researcher performs a clinical trial on 20 patients to determine whether a drug treatment has an effect on serum glucose. The sample mean glucose of the patients before and after the treatment are summarized in the following table. The sample standard deviation of the differences was 10. Before TreatmentSample mean glucose (mg/dL): 117 After TreatmentSample mean glucose (mg/dL): 111 What type of hypothesis test should be performed?Unpaired t-testTwo-tailed z-testLeft-tailed z-testPaired t-test What is the test statistic? What is the number of degrees of freedom? Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the α = 0.01 significance level?YesNoThe statical skills level of students at a particular university has an unknown mean and known standard deviation of 10. A simple random sample of 100 students from this university is found to have the sample mean statistical skill of 100. Estimate the mean with 90%,95%, and 99% confidence intervals?A sample of 36 students is found to have a mean score on GMAT Math test was (A + 500). The standard deviation is A scores. The same supervisor in the last example like to see if a student 5. scored significantly below the population mean score on the GMAT Math test 515. Is there sufficient evidence to support the claim at 10% level of significance? Note that: A is first two-digit number (before English alphabet letter) from your college ID. B is last four-digit number (after English alphabet letter) from your college ID. For example, if your MEC ID is 16F23451, then A = 16 and B = 345124Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.068.06 and a standard deviation of 1.521.52. 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