Answer:
The z-value rounded to the nearest hundredth is -1.64
There is no enough evidence to reject the claim.
Step-by-step explanation:
A certain website claims that it averages 4.7 hours of downtime per month.
No. of samples = n = 17
Mean =[tex]\mu = 4.9[/tex]
Standard deviation =[tex]\sigma = 0.5[/tex]
Formula: [tex]Z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z=\frac{4.7-4.9}{\frac{0.5}{\sqrt{17}}}[/tex]
Z =−1.64
Z critical at 90% is 1.65
Since Z calculated < Z critical
So, there is no enough evidence to reject the claim.