1) A study is done to determine if students in the California state university (CSU) system take longer to graduate, on average, than students enrolled in private universities using the significant level of 5%. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5811 years for CSU and 1 year for private universities. The following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.8. The private university students took on average 4.1 years with a standard deviation of 0.3.

State the null and alternative hypotheses with the following subscripts

1 = California state universities, 2 = private universities

Group of answer choices

a) H0: 1 2; Ha: 1 > 2

b) H0: 1 < 2; Ha: 1 > 2

c) H0: 1 = 2; Ha: 1 > 2

d) H0: 1 > 2; Ha: 1 2

2) A study is done to determine if students in the California state university (CSU) system take longer to graduate, on average, than students enrolled in private universities using the significant level of 5%. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5811 years for CSU and 1 year for private universities. The following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.8. The private university students took on average 4.1 years with a standard deviation of 0.3.

What is the critical value for the hypothesis testing?

Group of answer choices

a) 1.645

b) 1.96

c) 0.05

d) 2.14

3) A study is done to determine if students in the California state university (CSU) system take longer to graduate, on average, than students enrolled in private universities using the significant level of 5%. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5811 years for CSU and 1 year for private universities. The following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.8. The private university students took on average 4.1 years with a standard deviation of 0.3.

What is the computed test statistic?

Group of answer choices

a) 2.14

b) 1.96

c) 3.14

4) A study is done to determine if students in the California state university (CSU) system take longer to graduate, on average, than students enrolled in private universities using the significant level of 5%. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5811 years for CSU and 1 year for private universities. The following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.8. The private university students took on average 4.1 years with a standard deviation of 0.3.

What is the decision rule of rejecting the null hypothesis?

Group of answer choices

a) Reject the null hypothesis if computed test statistic is greater than the critical value

b) Reject the null hypothesis if computed test statistic is less than the critical value

c) Reject the null hypothesis if computed test statistic is equal to the critical value

d) Do not reject the null hypothesis

5) A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $947 and $1,011, respectively. The population standard deviations are known to be $254 and $87, respectively. You are to conduct a hypothesis test to determine if the means are statistically the same using 5% as alpha.

State the null and alternative hypotheses with the following subscripts:

1 = community college, 2 = four-year university

Group of answer choices

a) H0: 1 = 2; Ha: 1 2

b) H0: 1 2; Ha: 1 = 2

c) H0: 1 < 2; Ha: 1 > 2

d) H0: 1 > 2; Ha: 1 2