Answer:
The condition are
The Null hypothesis is
The Alternative hypothesis is
The check revealed that
There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons
Step-by-step explanation:
From the question we are told that
The population mean is
The sample size is n = 20
The sample mean is
The standard deviation is
The Null hypothesis is
The Alternative hypothesis is
So i will be making use of level of significance to test this claim
The critical value of from the normal distribution table is
Generally the test statistics is mathematically evaluated as
substituting values
Looking at the value of t and we see that
so we fail to reject the null hypothesis
This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.