# Answer to Question #16417 in Statistics and Probability for Shane Dorms

Question #16417

Determine the test statistic (z* or t*) and the p-value for each of the following situations and Determine if they would cause the rejection of the null hypothesis if the confidence level was set at 95% in each case. (Hint: be wary of the sample size):

a) Ho: mu = 50 mL, Ha: mu "not equal to" 50 mL, sample mean = 47.3 mL, sample standard deviation= 5, n=20

b) Ho: mu "less than or equal to" 8.9 m^3, Ha: mu > 8.9 m^3, sample mean = 10 m^3, s = 3.5, n = 75

c) Ho: mu "greater than or equal to" 20^o C, Ha: mu < 20^o C , sample mean= 17.1^o C, s= 4.8^o C, n= 12

d) Ho: mu = 380 s, Ha: mu "not equal to" 380 s, sample mean = 400 s, s = 75, n = 40

e) Ho: mu = 48 units, Ha: mu "not equal to" 48 units, sample mean = 50 units, s = 9.5, n = 41

a) Ho: mu = 50 mL, Ha: mu "not equal to" 50 mL, sample mean = 47.3 mL, sample standard deviation= 5, n=20

b) Ho: mu "less than or equal to" 8.9 m^3, Ha: mu > 8.9 m^3, sample mean = 10 m^3, s = 3.5, n = 75

c) Ho: mu "greater than or equal to" 20^o C, Ha: mu < 20^o C , sample mean= 17.1^o C, s= 4.8^o C, n= 12

d) Ho: mu = 380 s, Ha: mu "not equal to" 380 s, sample mean = 400 s, s = 75, n = 40

e) Ho: mu = 48 units, Ha: mu "not equal to" 48 units, sample mean = 50 units, s = 9.5, n = 41

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