For the given sequence of independent Bernoulli trials, as follows: H, T, H, T Calculate the likelihood of observing this sequence given the success probability0.607 Note: Use 3 decimal places.
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- A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores by at least 3 percentage points. To test this, they take a sample of 8 people, have each take an initial diagnostic test, then take the prep course, and then take a post-test after the course. The test results are below (scores are out of 100%): A. The correct t test to use here is Person Initial Test 1 2 3 4 5 6 7 8 A. Welch's unequal-variances t test OB. One-sample t test C. Student's equal-variances t test B. The number of degrees of freedom (round to the nearest integer) is C. The value of the standardized test statistic: Is there evidence, at an a = 0.035 level of significance, to conclude that the prep course improves scores by at least 3 percentage points? Carry out an appropriate hypothesis test, filling in the information requested. (Arrange your data so that the standardized test statistic is for the change from the initial test to the post-test.) 69 75 79 67 69 E. The…Given a population mean of 3.4, and a standard deviation of 1.2, how would I use the central limit theorem to find the probability the mean size given a random size sample of n = 100, would be more than 3?The average worker at a local brake manufacturer produces 10 brakes per day (other statistical information was not known). An industrial psychologist was hired to increase worker productivity and a new assembly method was designed and tested in a sample of workers. Identify the appropriate test. Select one: a. independent samples t test b. z test c. single sample t test d. paired samples t test
- Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. n= 11, p 0.5, P(9 or more) O 0.0059 O 0.9673 O 0.1133 O 0.0327A restaurant manager suspects that service declines during off-peak hours. To investigate, he selects a random sample of 100 customers who dined in his restaurant during peak hours and a random sample of 70 customers who dined in his restaurant during off-peak hours. Each customer rated the service on a scale of 1 to 5, where 1 = highly dissatisfied and 5 = highly satisfied. The results are displayed in the tables. Observed counts: Expected counts: The manager would like to test these hypotheses: H0: There is no difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.Ha: There is a difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours. The conditions for inference are met. The test statistic is χ‑2 = 13.88 and the P-value is between 0.005 and 0.01. Because the P-value is less than α = 0.05, there is convincing evidence of a difference…A restaurant manager suspects that service declines during off-peak hours. To investigate, he selects a random sample of 100 customers who dined in his restaurant during peak hours and a random sample of 70 customers who dined in his restaurant during off-peak hours. Each customer rated the service on a scale of 1 to 5, where 1 = highly dissatisfied and 5 = highly satisfied. The results are displayed in the tables. Observed counts: Expected counts: The manager would like to test these hypotheses: H0: There is no difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours.Ha: There is a difference in the distribution of service ratings among all customers who dine at this restaurant during peak and off-peak hours. The conditions for inference are met. What is the value of the chi-square test statistic and P-value of this test? Find the chi-square table here. χ‑2 = 13.88. The P-value is between 0.005 and 0.01. χ‑2…
- Given a population mean of 3.4, and a population standard deviation of 1.2, how would I use the central limit theorem to find the probability the mean size given a random size sample of n = 100, would be more than 3?An independent-measures experiment with three treatment conditions has a sample of n = 10 scores in each treatment. If all three treatments have the same total, T¡ = T2 = T3, what is SSbetween? O 1.00 O 10 O Cannot be determined from the information givenA survey is conducted to determine if there is a difference in the proportion of students, parents, and teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the tables. Observed counts: Expected counts: The researcher would like to test these hypotheses: H0: There is no difference in the distribution of responses among these three populations.Ha: There is a difference in the distribution of responses among these three populations. The conditions for inference are met. What is the value of the chi-square test statistic and what are the degrees of freedom for this test? χ‑2 = 0.19, df = 2χ‑2 = 0.19, df = 5χ‑2 = 0.44, df = 2χ‑2 = 0.44, df = 5
- given is the probability distrubution for a random variable X X -2 0 1 3 P(X=x) a 0.34 0.4 b If this mean of the probality is u= 0.4 find the value of a and b and hence determine the varience of the probality distributionA poultry farmer supplies eggs to major supermarkets in Accra for sale to the general public. He claims that each crate of 30 eggs contains both brown and white eggs in a 2:1 ratio. Suppose that a randomly-selected crate of eggs has 16 brown eggs and 14 white eggs; is this observation a significant departure from the expected ratio? Take a to be 0.05.
