Suppose a random sample of size 10 is taken from a normally distributed population, and the sample mean and variance are calculated to be x¯=46.1x¯=46.1 and s2=4.5s2=4.5respectively. Use this...

Suppose a random sample of size 10 is taken from a normally distributed population, and the sample mean and variance are calculated to be x¯=46.1x¯=46.1 and s2=4.5s2=4.5respectively.

Use this information to test the null hypothesis H0:μ=50H0:μ=50versus the alternative hypothesis HA:μ≠50HA:μ≠50, at the 5% level of significance.

a)  What is the value of the test statistic tt, for testing the null hypothesis that the population mean is equal to 50?