The Answer to the Question
is below this banner.
Here's the Solution to this Question
The null and alternative hypothesis tested are,
We shall apply the t distribution to perform this hypothesis test because the sample size and the population variance is unknown.
The test statistic is given as,
The critical value is the t distribution table value at with degrees of freedom given as,
The null hypothesis is rejected if, .
Since we fail to reject the null hypothesis and conclude that there is sufficient evidence to show that the height of this village population is 182 cm at 5% significance level.