MIDTERM

Course =Research Data Analysis

Level = Ph.D

Question 1

KTM pays its hourly workers rates either $16.50, $19 or $25 per hour based on their skills. There are 26 workers under this hourly rate paid. 14 workers are paid $16.50 rate, 10 workers are paid $19 rate and 2 workers are paid $25 rate. What is the mean hourly rate paid of the 26 workers

KTM pays its hourly workers rates either $16.50, $19 or $25 per hour based on their skills. There are 26 workers under this hourly rate paid. 14 workers are paid $16.50 rate, 10 workers are paid $19 rate and 2 workers are paid $25 rate. What is the mean hourly rate paid of the 26 workers

$18.15

$19

$11.18

$20.16

Question 2

In data analysis, the probability of rejecting the null hypothesis when it is true

Type 2 error

Level of significance

Type 1 error

Random error

Question 3

P-value in hypothesis testing. A very small p-value such as 0.0001 from your data analysis indicates that there is little likelihood that Ho is _____________

false

insignificant

true

significant

Question 4

The weekly salary of worker in the textile industry follows the normal probability distribution with a mean of $1,000 and a standard deviation of $500. Use z-table to find the probability of selecting a worker earns between $1,700 and $1,750

The weekly salary of worker in the textile industry follows the normal probability distribution with a mean of $1,000 and a standard deviation of $500. Use z-table to find the probability of selecting a worker earns between $1,700 and $1,750

0.234

0.014

0.4332

0.324

Question 5

A tire manufacturer wishes to investigate the tread life of its tires. A sample of 9 tires driven 50,000 miles revealed a sample mean of 0.32 inch of tread remaining with a standard deviation of 0.09 inch. Construct a 95 percent confidence interval for the population mean.

A tire manufacturer wishes to investigate the tread life of its tires. A sample of 9 tires driven 50,000 miles revealed a sample mean of 0.32 inch of tread remaining with a standard deviation of 0.09 inch. Construct a 95 percent confidence interval for the population mean.

0.256-0.394

0.251-0.389

0.255-0.399

0.252-0.387

Question 6

The weekly incomes of worker in the iron industry follow the normal probability distribution with a mean of $1,000 and a standard deviation of $100. Use z-table to find the probability of selecting a worker earns above $850.

The weekly incomes of worker in the iron industry follow the normal probability distribution with a mean of $1,000 and a standard deviation of $100. Use z-table to find the probability of selecting a worker earns above $850.

0.333

1.5

0.4332

0.9332

Question 7

__________________Is usually the result of some type of measurement

Discrete random variable

Population parameters

Continuous random variable

Inference statistics

Question 8

Some of the inherent danger in hypothesis testing is accepting a hypothesis when it is false.This is ________

confidence interval

degree of freedom

type 2 error

type 1 error

Question 9

Dr. Rahman Pharmaceutical wishes to set a maximum efficacy guarantee on its covid-19 drug Ryxer. Tests reveal the mean is 67,900 microgram/L with a standard deviation of 2,050 microgram/L and that the distribution of microgram/L follows the normal probability distribution. The company wants to set the maximum guaranteed microgram/L so that more than 94.06% percent efficacy.

What is the maximum guaranteed microgram/L should the company announce?

64,319 microgram/L

71,098 microgram/L

67,900 microgram/L

90,000 microgram/L

Question 10

The output of regression equation from a research data analysis of clients of a bank is as follows:

Y (family income in $'000) = 70.606 + 0.072 (value of home in $'000) + 1.624 (education) - 0.122(age)-0.001(mortgage) + 1.807 (gender)

An increase of $1,000 mortgage reduces income by ________.

$1000

$1

$100

$0.001

Question 11

P-value in hypothesis testing. A p-value of 0.30 means from your data analysis, indicates that Ho is not rejected as there is little likelihood that it is _____________

True

False

Insignificant

Significant

Question 12

___________ is to measure the strength of the association or relationship between two variables

Confidence Interval

Multiple Regression

Correlation

P-value

Significant p-value of 0.05

Question 13

The output of regression equation from a research data analysis of clients of a bank is as follows:

Y (family income in $'000) = 70.606 + 0.072 (value of home in $'000) + 1.624 (education) - 0.122(age)-0.001(mortgage) + 1.807 (gender)

An increase of $1,000 in value of home suggests an increase of _____in family income

$1000

$70.66

$0.072

$7.2

$72

Question 14

In data analysis, one of diagnostic test is the heteroskedasticity test using the Brauch-Pagan-Godfrey. where the Ho: there is no heteroskedasticity i.e., homoscedasticity, and the H1: there is heteroskedasticity.If your results show a Prob is > 0.266, what is your decision?

Reject null hypothesis that there is no heteroskedasticity in residual errors

Test results are insignificant at 95% confidence interval

Test results are significant at 95% confidence interval

Do not reject null hypothesis that there is no heteroskedasticity in residual errors