The maximum acceptable level for exposure to microwave radiation is 10 mu W/cm2.

Question

The maximum acceptable level for exposure to microwave radiation is 10 mu W/cm2. It is feared that a large television transmitter is polluting a region nearby. A sample of 25 readings is selected at random over a one-week period with a sample mean of X = 10.3 and sample variance of s2 = 4. Calculate the 95% confidence interval for the mean output of the power supplies. Based on your results above would you reject the null hypothesis that the microwave radiation is at an acceptable level? A small computer network consists of ten users and one printer. The average turnaround time for the system is 15 minutes. Ten new users and a second printer are added to the system. A sample of 30 turnaround times for the new network yields an average turnaround time of X = 14 and a sample variance of s2 = 9. Calculate the 95% confidence interval for the mean turnaround time. Is there evidence to support the assertion that the modifications to the system have had no effect on turnaround ti

Explanation / Answer

I.
a.
Confidence Interval
CI = x ± t a/2 * (sd/ Sqrt(n))
Where,
    x    = Mean
    sd   = Standard Deviation
    a    = 1 - (Confidence Level/100)
    ta/2 = t-table value
    CI   = Confidence Interval
Mean(x)=10.3
Standard deviation( sd )=2
Sample Size(n)=25
Confidence Interval = [ 10.3 ± t a/2 ( 2/ Sqrt ( 25) ) ]
= [ 10.3 - 2.064 * (0.4) , 10.3 + 2.064 * (0.4) ]
= [ 9.47,11.13 ]

b.
YES, We Reject Ho, Lower bound interval is less than 10 W/cm^2

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