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- How do we find the gamma and the p-value to evaluate the hypothesis that people who are more satisfied with their jobs are more likely to be happily married than those who are less satisfied with their jobs? The table is attatched.A researcher wants to test the hypothesis that college students weigh less on average than the average American (160 lbs). The sample mean of the 80 students who were weighed was found to be 142 pounds and the p-value was 0.03. This means that if the mean of all students’ weight is 160 lbs, then there would be only a 3% chance that a randomly selected group of 80 students would have a mean weight of less than 142 lbs. True False If the p-value is 0.13 and the level of significance , αα , is 0.05 in a hypothesis test for a mean, then we accept the null hypothesis. True False If the p-value is 0.003 and the level of significance, αα, is 0.05 in a hypothesis test for a mean, then we reject the null hypothesis. False TrueIf null hypothesis is false because a drop has occurred, then the observed z will be?
- If the number X of particles emitted during a 1-hour period from a radioactive source has a poisson distribution with parameter equal to 4 and that the probability that any emitted is recorded is p=0.9 find the probability distribution of the number Y of the particles recorded in a 1-hour and hence the probability that no particle is recordedSuppose X~ Binom (6,p) and define an estimator T=X/6 to estimate p. Then variance of T isA food inspector, examining 12 jars of a certain brandof peanut butter, obtained the following percentages ofimpurities: 2.3, 1.9, 2.1, 2.8, 2.3, 3.6, 1.4, 1.8, 2.1, 3.2, 2.0, and 1.9. Based on the modification of Theorem 1 of Exer-cise 7, what can she assert with 95% confidence about the maximum error if she uses the mean of this sample as anestimate of the average percentage of impurities in thisbrand of peanut butter?
- An independent research group is interested in showing that the percentage of babies delivered through the the Cesarian section decreases. For the past years, 20% of the babies were delivered through the Cesarian section. The research group randomly inspects the medical records of 144 births and finds that 25 of the births were by Cesarian section. Can the research group conclude that the percent of births by Cesarian section has decreased at 5% level of significance?The strength of the cubic concrete of the first line production is 110 N/mm² and standard deviation =12 N/mm² and for the second line production is 95 N/mm² and standard deviation =10 N/mm². If two samples are taken from each line, n=100X for each and the strength are tested, find the probability that the strength of 1 line greater than the 2nd line by: a- 17 N/mm² or more b- 35 N/mm² or more x=0.74At a toll-booth on-ramp there is a stochastic arrival distribution. Vehicles are counted in 20-second intervals, and vehicle counts are taken in 120 of these time intervals. Based on data collected, no vehicles arrived in 18 of the 120 count intervals. What is the number of the 120 intervals that 3 cars arrived?
- A small jet can carry up to 44 passengers and 3 crew members. There is a weight restriction of 9000 pounds on board. The combined weight of each passenger (or crew member) and his luggage has a mean of 195.4 pounds, with a standard deviation of 69.2 pounds. What is the probability that the weight limit willl be exceeded when there are exactly 44 passangers and 3 crew members on board? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.If X is a continuous random variable, what is the value of X that will be exceeded 30% of the time, if X has a gamma distribution with a mean of 2 and a variance of 2? (just set up the equation in itssimplest form)The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.01 level that the medicine relieves pain in more than 340 seconds. For a sample of 38 patients, the mean time in which the medicine relieved pain was 344 seconds. Assume the variance is known to be 484. Enter the decision rule. Reject Ho if z > _______