Answer:
The sample mean is not from a large population with mean 3.25 cm and standard deviation 2.61 cm
The range is
Step-by-step explanation:
From the question we are told that
The sample size is n = 900
The sample mean is
The standard deviation is
The population mean is
The population standard deviation
Given that confidence level is 99% the significance level is evaluated as
The critical value of is obtained from the normal distribution table , the value is
The null hypothesis
The alternative
Generally the test statistics is mathematically represented
=>
=>
The p-value is from the z-table , the value is
So we can see that so we reject the null hypothesis
Hence the sample mean is not from a large population with mean 3.25 cm and standard deviation 2.61 cm
Generally the margin of error is mathematically represented as
The range is evaluated as
=>
=>