Question

Question

Answer 1

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

$H_0:\mu = 5\\H_a:\mu \neq 5$

Sample mean = $\bar{x}=4.85$

Since n < 30 and population standard deviation is unknown

So, we will use t test

Formula : $t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{4.85-5}{\frac{0.25}{\sqrt{8}}}$

t=-1.69

Refer the t table for p value

Degree of freedom = n-1 = 8-1 = 7

So,$t_{(df,\alpha)}=t_{7,0.05}=2.365$

P value >α

So, We are failed to reject null hypothesis

Hence The population mean is 5 volts