The heights of a random sample of a particular species of horse were measured (in cm) as: XXXXXXXXXX XXXXXXXXXX Assume that heights are normally distributed, (a) Find a point estimate for the mean...

The heights of a random sample of a particular species of horse were measured (in cm) as: 45.3 47.1 44.2 46.8 46.5 45.5 47.6 Assume that heights are normally distributed, (a) Find a point estimate for the mean height, and its standard error. (b) Find the maximal margin of error with 95% confidence level. (c) compute a 95% confidence interval for the mean. Interpret your results. (d) Is there evidence that the mean height is higher than 45cm? (Use α = 0.05)