Four coins are tossed 160 times. The number given below. x 0 8 1 2 3 4 34 69 43 6 No. of times Fit a binomial distribution to this data on the hypothesis that coins are unbiased.
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- Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). x 19.8 15.3 20.4 18.1 16.2 15.5 14.7 17.1 y 89.4 73.2 95.3 86.1 78.8 75.2 69.7 82.0 x 15.4 16.2 15.0 17.2 16.0 17.0 14.4 y 69.4 83.3 79.6 82.6 80.6 83.5 76.3 (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and…Example 14-16. Fit a binomial distribution to the following data : 2. 3. f : 28 62 46 10Construct a binomial distribution table for the number of defective computer chips in a lot of 4 if P=0.4. Round your answer to two decimal places.
- A store manager is lòoking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry What is the variance of the data set? Round to the nearest hundredths. customers. 0.40 O 0.72 9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8 O 1.15 O 2.14Assume the mean and variance of 5 observations are 1 and 5, respectively. If 5, as one of these five observations, is removed, which of the followings gives the variance of the remaining observations? Select one: 2 1.25 0 None 0.75When Cohen's d indicates a medium effect (based on Cohen's conventions), the amount of overlap between the two distributions being compared is ________%. Question 5 options: 15 67 53 75
- Suppose that the distance of fly balls hit to the outfielder ( in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.a. In words define the random variable. X________.b. What is the probability that the 49 balls traveled an average at least of 240 feet. Include a complete shaded graph, and write the probability statement. c. Find the 90th percentile of the distribution of the average of 49 fly balls.2 3 4 P 5 D 6 7 8 The data shown here were collected via a phone survey in 2010 of 625 cell phones users of age 12 to 17 by the Pew Research Foundation. If we select a person at random from this sample: type your answer..... Number of text messages sent or received on a typical day 0 1-10 11-20 21-50 type your answer.... 51-100 101+ type your answer... % of teen cell phone users Round your answers to the nearest hundredth, O.XX. a. What is the probability that the person responded that s/he texted more than 100 times per day? c. What is the probability that the person did not respond that she never texts? 2% 22% 11% 18% 18% b. What is the probability that the person responded that s/he texted between 21 and 100 times on a typical day? ?If -7 is added to every observation in a set of data, what will happen to the variance? A. It will increase. B. It will decrease. C. It will stay the same. D. Cannot be determined.
- One way analysis of variance is used to test for O A. equality of three or more population means O B. equality of three or more sample means OC. equality of three or more population proportions D. equality of three of more population variances Click to select your answer.Solve the problem.Assume that male Siberian huskies' weights are normally distributed with a mean of 63.6 pounds and a standard deviation of 2.5 pounds. If 90 male Siberian huskies are randomly selected, find the probability that they have a mean weight between 62.9 pounds and 64.0 pounds.
