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Question: As a sample of radioactive atoms decays, the number of atoms steadily diminishes and the sample's radioactivity decreases in proportion. To study this effect, a nuclear physicist monitors the particles ejected by a radioactive sample for 2 hours. She counts the number of particles emitted in a 1-minute period and repeats the measurement at half-hour intervals, with the following results:
Time elapsed, t (hours): 0.0 0.5 1.0 1.5 2.0 Number counted, v, in 1 min: 214 134 101 61 54
(a) Plot the number counted against elapsed time, including error bars to show the uncertainty in the numbers. (Neglect any uncertainty in the elapsed time.) (b) Theory predicts that the number of emitted particles should diminish exponen-tially as v = v. exp( - rt), where (in this case) v. = 200 and r = 0.693 11-1. On the same graph, plot this expected curve and comment on how well the data seem to fit the theoretical prediction.
Construct a scatter plot for these data.- Find the estimated regression line. Add a graph of the estimated regression line to the scatter plot in part (a).
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method
What are the critical z-values for a two-tailed hypothesis test and in classical hypothesis testing, the test statistic.
Using the t tables, software, or a calculator, estimate the critical value of t for a 90% confidence interval with df = 17.
a study was commissioned to investigate the characteristics of properties that are for sale. data was collected on 60
Random Sample Obtain (generate) a random sample of 180 numbers between 1 and 60. You may use a calculator, excel, or a table of random numbers to achieve this. Summarize your sample into a frequency distribution with 6 classes.
It is given that 60% of the employees at a large company are women. A simple random sample of 15 employees is selected from this company.
A woman has a collection of snakes and iguanas. Her young son observed that the reptiles have a total of 50 eyes and 56 feet. How many reptiles of each type does the woman have?
A random sample of gasoline taxes (in cents) is shown here for 12 states. Use the data to estimate the true population mean gasoline tax with 90% confidence. Does your interval contain the national average of 44.7 cents?
Determine the motion of the mass. Decribe its motion in as much detail as possible.
the mean height of 8 year old girls in my daughters school is 125 cm with a standard deviation of 0.3 and the height
Suppose that distinct integer values are written on each of 3 cards. These cards are then randomly given the designations A, B, and C. The values on cards A and B are then compared. If the smaller of these values is then compared with the value on..
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