19) 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 computed test statistic? Group of answer choices

a) -1.76

b) 2.14

c) 1.14

d) -2.14

20) 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

Note: 1 = Democratic senators' mean age; 2= Republican senators' mean age

State the null and alternative hypotheses Group of answer choices

a) H0: 12; Ha: 1>2

b) H0: 1>2; Ha: 12

c) H0: 1>2; Ha: 12

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

21) 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 degree of freedom and the number of category? Select the correct answer

Group of answer choices

a) df = 5; k = 6

b) df = 5; k = 5

c) df = 6; k = 6

d) df = 6; k = 5

22) 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 computed Chi Square test statistic?

Group of answer choices

a) 13.60

b) 16.03

c) 31.06

d) 11.07

23) 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 conclusion about the null and alternate hypotheses based on the Chi Square critical value and computed test statistic.

Group of answer choices

a) Reject the null hypothesis

b) Accept the null hypothesis

c) Reject the alternate hypothesis

d) Accept both hypothesis 24) 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, find the critical value (hint: Student's t distribution table, draw the probability curve to see the location of the critical value)

Group of answer choices

a) negative 1.771

b) positive 1.771

c) negative 1.551

d) positive 1.551

25) 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 degree of freedom?

Group of answer choices

a) 6

b) 7

c) 5

d) 5.5

26) 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 Chi Square critical value (hint: use Chi Square table)

Group of answer choices

a) 12.592

b) 11.070

c) 15.292

d) 21.592

27) 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

Determine the regression equation (Y')

Group of answer choices

a) Y' = 19.1197 - 1.7425X

b) Y' = 19.1197 + 1.7425X

c) Y' = 17.425 + 1.9119X

d) Y' = 17.425 - 1.9119X