Suppose u1 and uz are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. Use the two-sample t test at significance level 0.01 to test Ho: H1 - u2 = -10 versusHa: H1 - 42 < -10 for the following data: m = 5, x = 114.8, s1 = 5.07, n = 5, y = 129.5, and s2 = 5.39.n USE SALTCalculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)t =P-value =State the conclusion in the problem context.Reject Ho. The data suggests that the difference between mean stopping distances is less than -10.Reject Ho: The data does not suggest that the difference between mean stopping distances is less than -10.o Fail to reject Ho. The data suggests that the difference between mean stopping distances is less than -10.Fail to reject Ho. The data does not suggest that the difference between mean stopping distances is less than -10.

Answered: Suppose u1 and 2 are true mean stopping…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that matched pairs of data from a poll of Internet users who were asked if they make travel plans through the Internet result in 304 positive signs, 278 negative signs, and 35 ties when the value of the secon variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.05 significance level to test the null hypothesis of no difference. Let ₁ denote the median of the first variable and 12 denote the median of the second variable. What are the null and alternative hypotheses? O A. Ho: 1₁2 112 H₁:1₁ <1₂ OC. Ho: 11₁ 112 H₁: 1₁ <12 O B. Ho: 11 #11₂ H₁:1₁ =1₂ O D. Ho: 111 112 H₁:1₁ #1₂ Find the test statistic. Test statistic = Find the P-value. P-value= (Round to four decimal places as needed.) Does the null hypothesis of no difference hold? (Round to two decimal places as needed.) O A. Since the P-value is less than the significance level, reject the null hypothesis of no difference. O B. Since the P-value is greater than the significance…
A researcher hypothesizes that performance on a cognitive test will be better when people have had a full night's sleep compared to when these same people are sleep deprived. A sample of 12 people is deprived of sleep for one night before taking the test. Under these circumstances, the mean number of questions they answered correctly was 6.08 with an SD of 1.38. A week later, these same people complete the test afler a full night's sleep. The mean number of questions answered correctly under these circumstances was 14.25 with an SD of 3.7. The raw scores and Z-scores were as follows: 3. No Sleep 0 66 139 Sleep 16 0.47 19 1 29 0.20 0 20 -0.07 0 20 -0.34 0.66 15 1.39 15 -0.79 14 15 0.06 0.06 -0.79 13 12 -0.61 -2.77 0 20 3. -2.24 4. -0.06 15 6. -0.06 16 047 -0.06 17 0.74 Test the researcher's hypothesis at a -05.
Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x= 99.11, y = 100.1, r=0.872, P-value = 0.000, and y = 7.99 +0.93x, where x represents the IQ score of the twin bom first. Find the best predicted value of y given that the twin born first has an IQ of 96? Use a significance level of 0.05. 1 Critical Values of the Pearson Correlation Coefficient r E Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is. Critical Values of the Pearson Correlation Coefficient r a = 0.01 NOTE: To test Ho: p=0 against H,: p#0, reject H, if the absolute value of r is greater than the critical value in the table. (Round to two decimal places as needed.) a = 0.05 4 0.950 0.990 0.878 0.959 0.811 0.917 0.754 0.875 0.834 0.798 0.765 0.735 0.708 8 0.707 9 0.666 10 0.632 11 0.602 0.576 0.553 12 0.684 13 0.661 0.641 0.623 0.606 14 0.532 0.514 15 16 17 0.497 0.482 0.468 0.456 0.444 0.590 0.575…
Is the proportion of wildfires caused by humans in the south different from the proportion of wildfires caused by humans in the west? 394 of the 533 randomly selected wildfires looked at in the south were caused by humans while 388 of the 554 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the = 0.01 level of significance? For this study, we should use Select an answer z-test for the difference between two population proportions t-test for the difference between two dependent population means z-test for a population proportion t-test for the difference between two independent population means t-test for a population mean The null and alternative hypotheses would be: Select an answer p1 μ1 Select an answer > ≠ < = Select an answer μ2 p2 (please enter a decimal) Select an answer p1 μ1 Select an answer > = < ≠ Select an answer p2 μ2 (Please enter a decimal) The test statistic ? z t = (please show your…
In a random sample of males, it was found that 29 write with their left hands and 212 do not. In a random sample of females, it was found that 70 write with their left hands and 444 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below.
7. In one state, the mean time served in prison by convicted burglars is 18.7 months. A researcher would like to perform a hypothesis test to determine whether the mean amount of time served by convicted burglars in her hometown is different from 18.7 months. She takes a random sample of 11 such cases from court files in her home town and finds that = 21.4 months and s = 7 months. Use a 5% significance level to perform the test. Assume normally distributed population. Perform critical-value (classical) test. Be sure to identify the null and alternate hypotheses and interpret your results. a) Hypotheses: b) Test statistic: c) Critical-value: d) Hypothesis test conclusion and interpretation:
Please answer the incorrect ones only.
Consider two sets of data, X and Y, with n = 10 observations each. If the mean ranks for X and Y are 6 and 5, respectively, what is the test statistic for the Wilcoxon Signed-Ranks test on these two sets of data?
A researcher randomly assigns college freshmen to either of two experimental conditions. Because both groups consist of college freshmen, someone claims that it is appropriate to use a t test for the two related samples. Comments?
A researcher decides to measure anxiety in group of bullies and a group of bystanders using a 23-item, 3 point anxiety scale. Assume scores on the anxiety scales are normally distributed and the variance among the group of bullies and bystanders are the same. A group of 30 bullies scores an average of 21.5 with a sample standard deviation of 10 on the anxiety scale. A group of 27 bystanders scored an average of 25.8 with a sample standard deviation of 8 on the anxiety scale. You do not have any presupposed assumptions whether bullies or bystanders will be more anxious so you formulate the null and alternative hypothesis based on that.
A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.1 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. Believing that the mean amount of coffee dispensed by the machine, µ, is less than 7.1 ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 6.7 ounces and that the standard deviation is 0.4 ounces. Based on this information, answer the questions below.
According to the Centers for Disease Control and Prevention (CDC), the mean BMI of U.S. men of age 40–49 years old is 28.4 Using the provided sample data file, conduct a one-sample ?-z-test of a mean to test whether the mean BMI of men of age 40–49 years old who smoke daily is lower than 28.4. Conduct the ?-z-test at a significance level of ?=0.05 to test the null hypothesis, ?0:?=28.4, against the alternative hypothesis, ?1:?<28.4, where ?μ represents the mean BMI of U.S. men of age 40–49 who smoke daily. Assume that the population standard deviation of BMI, ?σ, is 8.346 The sample data provided contain BMI results collected from a 2015 survey conducted by the National Center for Health Statistics for men of age 40–49 who smoke daily. Calculate the sample mean, ?⎯⎯⎯x¯, for this data. Give your answer precise to at least one decimal place. Calculate the sample mean, ?⎯⎯⎯x¯, for this data. Give your answer precise to at least one decimal place. Compute the standard deviation, SD, of…

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