10) 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

11) A random sample of 15 observations of house price and house size reveals a correlation coefficient of negative 46. The null and alternative hypotheses are given as the following (rho is population's correlation coefficient):

H₀: rho 0

H₁: rho < 0

Using 5% significance level, compute the test statistic

Group of answer choices

a) negative 1.868

b) positive 1.868

c) negative 1.771

d) positive 1.771

12) The mean age of 30 randomly selected Republican Senators was 61 years 247 days old (61.675 years) with a standard deviation of 10.17 years. The mean age of 30 randomly selected Democratic senators was 61 years 257 days old (61.704 years) with a standard deviation of 9.55 years. (Hint: older means greater than)

Do the data indicate that Democratic senators are older than Republican senators, on average? Test at a 5% level of significance

What is the critical value? (hint: this is a one-tailed positive test)

Group of answer choices

a) 1.645

b) 1.036

c) 1.960

13) 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

14) A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test to determine if the die is fair using 5% significant level. The data in the following table are the result of the 120 rolls.

Face Value	Frequency	Expected Frequency
1	15
2	29
3	16
4	15
5	30
6	15

What is the Chi Square critical value? (hint: use the Chi Square table0 Group of answer choices

a) 11.070

b) 1.170

c) 14.062

d) 12.592

15) 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

16) 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

17) The following table shows a sample dataset of observation values of an independent variable, Age, and a dependent variable, number of toys

Age	5	3	6	3	4	4	6	8
Toys	13	15	7	12	13	11	9	5

Compute the correlation coefficient between Age and Toys.

Group of answer choices

a) negative 0.89

b) positive 0.89

c) negative 0.089

d) positive 0.089

18) 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.

What is the critical value? Group of answer choices

a) 1.96

b) 1.645

c) 2.14

d) 2.326