Answer:
The population mean is 5 volts
Step-by-step explanation:
Output voltage is assumed to be normally distributed, with standard deviation 0.25 Volts
s=0.25
n = 8
[tex]H_0:\mu = 5\\H_a:\mu \neq 5[/tex]
Sample mean = [tex]\bar{x}=4.85[/tex]
Since n < 30 and population standard deviation is unknown
So, we will use t test
Formula : [tex]t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{4.85-5}{\frac{0.25}{\sqrt{8}}}[/tex]
t=-1.69
Refer the t table for p value
Degree of freedom = n-1 = 8-1 = 7
So,[tex]t_{(df,\alpha)}=t_{7,0.05}=2.365[/tex]
P value >α
So, We are failed to reject null hypothesis
Hence The population mean is 5 volts
