1. How is a t distribution like a Z distribution?And how is it different?Please give me at least two similarities and two differences.
2. you decide to take a scientific approach to your new passion for bread-baking, from the many loaves you bake, you randomly sample 12 that used a premium yeast and 14 that used a regular yeast. The premium-yeast loaves had a mean height of 14.2 cm with a standard deviation of 3 cm. The regular-yeast loaves had a mean height of 11.9 cm with a standard deviation of 2 cm. Can you be at least 95% confident that the different yeasts yield different mean heights?

a) Is this a one-sample test or a two-sample test?

b) Is this a one-tailed test or a two-tailed test?

c) Please compute the test statistic to the third decimal:

d) What is the appropriate critical value?

e) Is the result statistically significant? Yes/no

3.the mean GPA of a sample of students in an academic success program (N=77) is 3.1 with a standard deviation of 0.5, while students in general at the same institution have a mean GPA of 2.7. Can the researcher be at least 95% confident that program participants have a significantly higher GPA than students in general? Please do calculations to three non-zero decimal places.

a) Is this a one-sample test or a two-sample test?

b) Is this a one-tailed test or a two-tailed test?

c) Please compute the test statistic to the third decimal:

d) What is the appropriate critical value?

e) Is the result statistically significant? Yes/no