<span> Given the relationship between </span>wavelength<span> and </span>frequency<span> — the </span>higher<span>the </span>frequency<span>, the shorter the </span>wavelength<span> — it follows that short wavelengths are</span>more<span> energetic than long wavelengths.</span>
        
                    
             
        
        
        
Answer:
a.  μ 3 ± 1.8 = [1.2,4.8]
 3 ± 1.8 = [1.2,4.8]
b. The correct answer is option D. No, because the sample size is large enough.
Explanation:
a. The population mean can be determined using a confidence interval which is made up of a point estimate from a given sample and the calculation error margin. Thus:
μ ±(t*s)/sqrt(n)
±(t*s)/sqrt(n)
where:
μ = is the 95% confidence interval estimate
 = is the 95% confidence interval estimate
x_ = mean of the sample = 3
s = standard deviation of the sample = 5.8
n = size of the sample = 41
t = the t statistic for 95% confidence and 40 (n-1) degrees of freedom = 2.021
substituting all the variable, we have:
 μ 3 ± (2.021*5.8)/sqrt(41) = 3 ± 1.8 = [1.2,4.8]
 3 ± (2.021*5.8)/sqrt(41) = 3 ± 1.8 = [1.2,4.8]
b. The correct answer is option D. No, because the sample size is large enough.
Using the the Central Limit Theorem which states that regardless of the distribution shape of the underlying population, a sampling distribution of size which is ≥ 30 is normally distributed.
 
        
             
        
        
        
Answer:
D. The frequency is not affected as the volume of sound increases
Explanation:
Volume of the sound is defined by the amplitude of the wave or how loud a sound is whereas Frequency is basically the pitch of the sound and is inversely proportional to the wavelength . Increasing frequency will increase the pitch of the sound without affecting it's volume.
 
        
             
        
        
        
Gravity pulls objects down to the earth
        
             
        
        
        
It takes him
t = 16 miles / 156 mph = 0.1 hours