Chloe used to sanitize her hands thoroughly before the pandemic. Prior to statistical analysis, Chloe felt that her average sanatization lasted 19 seconds with a standard deviation of 6.8 seconds. During the pandemic she didn't really think that her sanatization length has changed that much, so she decided to measure the length of sanatization for a sample of times.

Measurements of Chloe's Sanatization Length (in seconds)

24

20

17

28

16

20

24

23

28

19

36

24

27

23

22

28

23

22

20

16

18

19

17

24

25

23

22

27

29

28

15

21

13

20

24

18

25

25

24

21

19

18

20

16

27

29

25

18

24

24

26

24

22

23

21

Assuming the sanatization times are normally distributed, use a 1% significance level to determine if Chloe's sanatization times have increased.

a)What are the null and alternate hypotheses

b)What is your test statistic (show your work/formulas used, round to 2 decimal places)?

c)What is the critical value (explain how you got it, show any EXCEL formulas used, round to 2 decimal places)?

d)What are the conclusions based on this situation?