Answer :
Answer:
The 't' test statistic = 1.46 < 1.69
The test of hypothesis is H 0 :μ = 800 is accepted
A sample of 30 bulbs are found came from average µ= 800
Step-by-step explanation:
Step 1:-
Given population of mean μ = 800
given size of small sample n =30
sample standard deviation 'S' = 45
Mean value of the sample χ = 788
Null hypothesis [tex]H_{0} =[/tex]µ =800
alternative hypothesis [tex]H_{1} =[/tex] µ ≠ 800
Step 2:-
The 't' test statistic t = [tex]\frac{x-μ}{\frac{sig}{\sqrt{n} } }[/tex]
[tex]t = \frac{788-800}{\frac{45}{\sqrt{30} } }[/tex]
t = [tex]\frac{12}{8.215}[/tex] = 1.4607
Step 3:-
The degrees of freedom γ = n-1 = 30-1 =29
From "t" value from table at 0.05 level of significance ( t = 1.69)
The calculated value t = 1.4607 < 1.69
Therefore The null hypothesis H_{0} ' is accepted.
conclusion:-
A sample of 30 bulbs are came found from average µ= 800