Answer:
There is no sufficient evidence to support the claim that the boards are either too long or too short
Step-by-step explanation:
From the question we are told that
The population mean is
The sample size is
The sample mean is
The standard deviation is
The level of significance is
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented as
=>
=>
Now from the normal distribution table the critical value of is
Hence from the evaluated and obtained value we see that
Hence we fail to reject the null hypothesis
Thus we can conclude that there is no sufficient evidence to support the claim that the boards are either too long or too short