1) 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 computed test statistic?

Group of answer choices

a) 0.01

b) 1.01

c) 0.10

d) 0.029

2) 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

What is the value of Toys when Age is 7 (round your answer without decimal)

Group of answer choices

a) 7

b) 6

c) 8

d) 5

3) 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 are the null and alternate hypotheses? Select the correct answer

Group of answer choices

a) H0: The die is fair; H1: The die is not fair

b) H0: The die is not fair; H1: The die is fair

c) H0: The die is fair; H1: The die is fair

d) H0: The die is not fair; H1: The die is not fair

4) The following table shows a sample dataset of observation values of an independent variable, x, and a dependent variable, y

x	4	5	3	6	10
y	4	6	5	7	7

Compute the correlation coefficient between the two variables

Group of answer choices

a) 0.75

b) -1.75

c) 0.075

d) 0.25

5) 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

6) 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

Select the best interpretation of the relationship between Age and Toys based on their computed correlation correlation

Group of answer choices

a) There is a strong negative relationship between Age and Toys

b) There is no relationship between Age and Toys

C)There is a strong positive relationship between Age and Toys

d) There is a weak negative relationship between Age and Toys

7) The City of South Lake Tahoe, CA, has an Asian population of 1,419 people, out of a total population of 23,609. Suppose that a survey of 1,419 self-reported Asians in the Manhattan, NY, area yielded the data in Table 11.33. Conduct a goodness-of-fit test to determine if the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area. Use 0.05 significant level.

Race	Lake Tahoe Frequency	Manhattan Frequency
Asian Indian	131	174
Chinese	118	557
Filipino	1,045	518
Japanese	80	54
Korean	12	29
Vietnamese	9	21
Other	24	66

What is the computed Chi Square test statistic?

Group of answer choices

a) 20.35

b) 30.20

c) 12.592

d) 11.070

8) 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, determine the decision regarding the null hypothesis

Group of answer choices

a) Reject the null hypothesis

b) Do not reject the null hypothesis

c) Accept the null hypothesis

d) Let me think about it

9) The following table shows a sample dataset of observation values of an independent variable, x, and a dependent variable, y

x	4	5	3	6	10
y	4	6	5	7	7

Compute the standard deviation of x (s_x) and y (s_y)

Group of answer choices

a) s_x = 2.7; s_y = 1.3

b) s_x = 1.3 ; s_y = 2.7

c) s_x = 5.6 ; s_y = 2.7

d) s_x = 1.3 ; s_y = 5.8