Based on a large sample of capacitors of a certain type, a 99% confidence interv

Question

Based on a large sample of capacitors of a certain type, a 99% confidence interval for the mean capacitance, in mu F, was computed to be (.20, .28). Find the value for sigma_x = sigma/Squareroot n Find a 95% confidence interval for the mean capacitance of this type of capacitor. Sixty-four independent measurements were made of the speed of light. They averaged 299, 795 km/s and had a standard deviation of sigma = 8 km/s. Circle TRUE or FALSE A 95% confidence interval for the speed of light is 299, 795 plusminus 1.96 T or F The probability is 95% that the speed of light is in the interval 299, 795 plusminus 1.96. T or F

Explanation / Answer

a ) here as margin of error E=(0.28-0.20)/2)=0.04

for 99% CI ; z=2.5758

hence std error of mean =E/Z =0.04/2.5758 =0.0155

sample mean =(0.20+0.28)/2 =0.24

for 95% CI, z=1.96

hence 95% confidence interval =sample mean -/+ z*std error =0.21 ; 0.27

2) confidence interval is right : true

inference is wrong : false

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