1 nanogram of a certain isotope has an average of 2.3 radioactive decays per second, and the * number of decays will follow a poisson distribution. What is the probability that in a 2 second period there are no more than 3 radioactive decays?
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Using Poisson Distribution, solve the given problem and show complete solution with final answer.
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- For the following test, assume that the two samples are independent simple random samples selected from normally distributed populations and that the population standard deviations are equal (01 = 02) so that the standard error of the difference between means is obtained by pooling the sample variances. A researcher was interested in comparing the amount of time spent studying baboons by women and men from a group of anthropologists. Independent simple random samples of 35 women and 36 men were selected, and each person was asked how many hours they had studied the baboons during the previous week. The summary is shown in the table. Women Men n - 35 women = 36 men n2 I, = 17.1 hours , - 17.2 hours 52 = 2.3 hours %3D 51 = 1.5 hours Use a 0.1 significance level to test the claim that the mean amount of time spent studying baboons by women is smaller than it is for men. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: Select an…How do you find the maximum likelihood estimator for the exponential distribution?please help! rate will be given. write the complete solutions and legibly. APPLIED STATISTICS AND PROBABILITY FOR ENGINEERS > CORRELATION In an article in IEEE Transactions on Instrumentation and Measurement (2001, Vol. 50, pp. 986–990), researchers reported on a study of the effects of reducing current draw in a magnetic core by electronic means. They measured the current in a magnetic winding with and without the electronics in a paired experiment. Data for the case without electronics are provided inthe following table. See the attached photo Answer the following: a. Graph the data and fit a regression line to predict current without electronics to supply voltage. Is there a significant regression at α = 0.05? What is the P-value?b. Estimate the correlation coefficient.c. Test the hypothesis that ρ = 0 against the alternative ρ ≠ 0 with α = 0.05. What is the P-value?d. Compute a 95% confidence interval for the correlation coefficient.
- percentage may be now, so a of 250 of last year's freshmen 4. 78% of all to in Fall 2015. You think that the a and tind that 84% returned, www.csun.edu/counts/one_year_continuation_rate-plip a. What is p? _ What is the number of successes? What is n? b. Write the hypotheses: Circle the best definition of p. the proportion of all of last year's freshmen who returned the proportion of all 2014 CSUN freshmen who returned the proportion of all CSUN freshmen among the 250 who returned C. Assuming that Ho is true, the sampling distribution of p has a mean of Use the formula to compute the SE of the sampling distribution of p. Complete this sketch of the sampling distribution of p. Put a scale on the horizontal axis. Then locate the result from the sample and shade in area representing the p-value. (Is the area representing the p-value on one side or two sides?) Use StatCrunch to find the p-value for this situation. e. Is there statistically significant evidence that the percentage is…StatisticsghuX ~ N(37.3, 5) a) What score is at the 73rd percentile? b) What score is at the 40th percentile?
- es point(s) possible Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 22 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.14 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.98 oz and 12.70 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.18 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.18 oz. Use a 0.05 significance level. Complete parts (a) through (d) below. b. Compute the test statistic. x²=0 (Round to three decimal places as needed.) c. Find the P-value. P-value= (Round to four decimal places as needed.) d. State the conclusion. the level of significance. There is evidence to conclude that the population Ho, because the P-value is standard deviation of…Please solve max in 30-60 minutes with the step, I'm needed and no reject thank u 1.Given l4 = 100 and l9 = 50. Calculate l5 assuming a Uniform Distribution of Death (UDD) Information/Note l4 = number of people living in year 4 l9 = number of people living in year 9 l5 = number of people living in year 5In a sample of 169 students, 16 said they have donated blood. What percent of the students have donated blood?
- Chapter 5, Section 1, Exercise 015 (a) Find the area above 67 for a N(60,10) distribution.Round your answer to three decimal places.Area= (b) Find the area below 49 for a N(60,10) distribution.Round your answer to three decimal places.Area=ACT scores range from 1 to 36 and are normally distributed where N (21.5, 5.4). SAT scores• range from 600 to 2400 and are normally distributed where N (1498, 316). Jorge scores 2090 on the SAT. If both tests measure the same thing, what score on the ACT is equivalent to Jorge's SAT score?Solve using the z score table P(xs 5) O = 3 Z = X-u_ Fill in the graph to represent the desired shaded area and standard deviation line.