From a sample with n = 40, the mean duration of a geyser's eruptions is 3.57 minutes and the standard deviation is 0.76 minutes. Using Chebychev's Theorem, determine at least how many of the eruptions lasted between 2.05 and 5.09 minutes. ... ruptiono locted botwoon 3.05 and 5.09 minutes

An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.7 minutes. A random sample of 36 dive durations has a mean of 12.3 minutes and a standard deviation of 2.1 minutes. At a = 0.01 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state H, and H, Ho Ha (Type integers or decimals. Do not round.) The claim is the hypothesis.

To compare the dry braking distances from 30 to 0 miles per hour for two makes of​ automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10​, can the engineer support the claim that the mean braking distances are different for the two makes of​ automobiles? Assume the samples are random and​ independent, and the populations are normally distributed.   The critical​ value(s) is/are   Find the standardized test statistic z for μ1−μ2.

A population has parameters u = 189.5 and o = 61.9. You intend to draw a random sample of size n = 113. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.)

A population has parameters µ = 200.3 and o = 17.5. You intend to draw a random sample of size n 99. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.)

As a bonus assignment a former student checked if your professor gave a statisticallysignificant difference in grades between his male and female students. She based herstudy based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317)and her sample included nm = 485 male students and nf = 264 female students. Theaverage grades received were xm = 84.6 and xf = 85.8 The population standad deviation were σ m = 12.0 and σ f = 11.4 8. From the same extra-credit study as in question 7 see above, this former student found that the proportion of female students in principle courses (Econ 203, 205) was ?̅? = 0.380, while the proportion of female students in intermediate courses (Econ 303, 305, 317) was ?̅? = 0.352. The principle courses sample size was np = 782, while the intermediate courses sample size was ni = 749. Test the hypothesis that female students are less in intermediate courses using a 90% confidence level and the p-value approach.

A population has parameters μ = n = 191. 49.2 and o= = 55.3. You intend to draw a random sample of size What is the mean of the distribution of sample means? fx = What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) Ox =

A population has parameters u = 239.9 and o = 18.4. You intend to draw a random sample of size n = 76. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.)

The following are the stopping times (in seconds) of 4r/s vehicles after breaking at 65mph:3,4,5,8. Use an appropriate formula to find the standard deviation of this sample.