A botanist measured the height of 15 plants grown in direct sunlight and found a mean height of 12.5 in and a standard deviation of 1.6 in.

a). Construct a 95% confidence interval for her sample mean and interpret your interval in words.

b). assume she repeated her experiment, this time measuring the height of 200 plants. Construct a 95% CCI for this new experiment. Interpret your interval in words

c). Was the width of 95% CCI she created with 200 plants larger, smaller or the same as the 1st one she constructed? Explain answer please

d). If she wished to construct a 90% CI for this interval be larger, smaller or the same as the 95 CI? Please explain the answer