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- 6. A tennis player makes a successful first serve 60% of the time. Assume that each serve is independent of the others. If the player serves 8 times, what is the probability that she gets exactly 3 successful first serves? A. 0.0065 B. 0.216 C. 0.124 D. 1.298 7. A researcher reported that the mean weekly television viewing time for children aged 2-11 years is 24.5 hours with a standard deviation of 6.2 hours. Assuming that the weekly television viewing times are unimodal and symmetric (i.e., approximately bell-shaped), 99.7% of all such children are expected to watch between what range of hours of TV per week? Provide a lower and an upper bound. A. 5.9 and 43.1 B. 18.3 and 30.7 C. 12.1 and 36.9 D. 12.1 and 24.5 8. The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What percent of pencils will have a diameter greater than 0.328 inches. A. 0.9974Given two normally distributed populations with equal means and variances of 100 and 80, what is the probability that samples of size n1 = 25 and n2 = 16 will yield a value of mean "x1 - "x2 greater than or equal to 8?Please only answer 3.19
- Suppose that we know that scores on a nationally administered statistics examination have a population mean u = 70 and population standard deviation o= 10. Answer each of the following A random sample of 64 mdividuals is taken What is the probability that the sample mean is below 697 A random sample of 100 individuals is taken What is the probability that the sample mean is below 69? A random sample of 400 individuals is taken What is the probability that the sample mean is below 69?One of my homework questions... Given that X ~ N(300, 15). We survey 20 at a time and are interested in the distribution of X-bar. What can be said about the median of the random variable X-bar? The group of answer choices It is the same as the average of X. All answers are correct. It is the same as the average of X-bar. It is the same as the median of X. I think it's all of the above, but not totally sureMillo.09.
- Q4. Researchers developed a "dog IQ test" and find that the population of dogs in the United States has a mean score of µ = 20 on this test with a standard deviation of σ = 2. You decide to test a sample of n = 40 dogs to do some research about whether some breeds are smarter. You decide to first test your own dog (or your closest friend's or family member's, if you don't have one). What is the probability that your dog will score an "dog IQ" greater than 25 (which is the cut-off for "Doggie Genius")?2Please make a possible answer
- For the situation described below, state the null hypothesis, Ho, and the alternative hypothesis, H, to be tested. (Enter != for # as needed.) A statistical test is designed to show that the proportionp of defectives has decreased below 0.6%. Ho: 0.6 H: 0.63. An airline has a baggage weight limit of 50 lb. Suppose that the weight of the baggage checked by an individual passenger is a random variable x with a mean value of 49 lb. If 110 passengers will board a flight, what is the approximate probability that the mean weight for this sample of passengers will exceed the limit if the standard deviation of the baggage weight for this group is 23 lb. ? (Round your answer to three decimal places.)Please help me with the following question.