The answer to Exercise 19 part (d) is needed for this exercise. A geologist counts 64 emitted particles in one minute from a certain radioactive rock.
Find a 95% confidence interval for the rate of emissions in units of particles per minute. After four minutes, 256 particles are counted. Find a 95% confidence interval for the rate of emissions in units of particles per minute. For how many minutes should errors be counted in order that the 95% confidence interval specifies the rate to within \(\pm\)1 particle per minute?
Step 1 of 3
a) The no. of emitted particles counted by geologist is 64
Here we have to find the 95% confidence intervals
The 95% confidence intervals are
is the critical value at 5% level of significance
Here X=64, n=1, =64
Then 1.96 = 64
Hence the 95% confidence intervals are (48.62, 79.68)