Answer:
a
The null hypothesis is
The alternative hypothesis is
The null hypothesis is rejected
b
The 99% confidence level is
Step-by-step explanation:
From the question we are told that
The sample size is n = 10
The population mean is
The level of significance is
The sample data is
13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002
Generally the sample mean is mathematically represented as
=>
Generally the sample standard deviation is mathematically represented as
=>
=>
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented as
=>
=>
Generally the p-value is mathematically represented as
From the z-table
So
So from the obtained value we see that
Hence the null hypothesis is rejected
Consider the b question
Given that the confidence level is 99% then the level of significance is
=>
Generally from the normal distribution table critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally the 99% confidence interval is mathematically represented as
=>
