
Concept explainers
a.
To identify: The claim and state
a.

Answer to Problem 16CQ
The claim is that “there is a significant difference in price”.
The hypotheses are given below:
Null hypothesis:
Alternative hypothesis:
Explanation of Solution
Given info:
Justification:
Here, there is a significant difference in prices tested. Hence, the claim is that there is a significant difference in price. This can be written as
The hypotheses are given below:
Null hypothesis:
Alternative hypothesis:
b.
To find: The critical value
b.

Answer to Problem 16CQ
The critical value at
Explanation of Solution
Calculation:
Here, the test is two tailed test.
Critical value:
Here, variances are not equal. Hence, the degrees of freedom is,
Software Procedure:
Step-by-step procedure to obtain the critical value using the MINITAB software:
- Choose Graph >
Probability Distribution Plot choose View Probability> OK. - From Distribution, choose ‘t’ distribution.
- In Degrees of freedom, enter 11.
- Click the Shaded Area tab.
- Choose Probability value and Two Tail for the region of the curve to shade.
- Enter the Probability value as 0.01.
- Click OK.
Output using the MINITAB software is given below:
From the output, the critical value is
c.
To find: The test value.
c.

Answer to Problem 16CQ
The test value is 11.09.
Explanation of Solution
Calculation:
Test statistic:
Software Procedure:
Step by step procedure to obtain test statistic using the MINITAB software:
- Choose Stat > Basic Statistics > 2-Sample t.
- Choose Summarized data.
- In first, enter
Sample size as 12, Mean as 1.43, Standard deviation as 0.09. - In second, enter Sample size as 16, Mean as 1.03, Standard deviation as 0.1.
- Choose Options.
- In Confidence level, enter 99.
- In Alternative, select not equal.
- Click OK in all the dialogue boxes.
Output using the MINITAB software is given below:
From the MINITAB output, the test value is 11.09.
d.
To make: The decision.
d.

Answer to Problem 16CQ
The decision is that, the null hypothesis isrejected.
Explanation of Solution
Calculation:
Software Procedure:
Step-by-step procedure to indicate the appropriate area and critical value using the MINITAB software:
- Choose Graph > Probability Distribution Plot choose View Probability> OK.
- From Distribution, choose ‘t’ distribution.
- In Degrees of freedom, enter 11.
- Click the Shaded Area tab.
- Choose Probability value and Two Tail for the region of the curve to shade.
- Enter the Probability value as 0.01.
- Enter 11.09 under show reference lines at X values
- Click OK.
Output using the MINITAB software is given below:
From the output, it can be observed that the test statistic value falls in the critical region. Therefore, the null hypothesis isrejected.
e.
To summarize: The result.
To construct: The 99% confidence interval for the difference of the mean.
e.

Answer to Problem 16CQ
The conclusion is that, there is enough evidence to support the claim that there is a significant difference in price.
The 99% confidence interval for the difference of the mean is
Explanation of Solution
Justification:
From part (d), the null hypothesis is rejected. Thus, there is enough evidence to support the claim that there is a significant difference in price.
Confidence interval:
From the MINITAB output in part (c), the 99% confidence interval for the difference of the mean is
Want to see more full solutions like this?
Chapter 9 Solutions
ELEMENTARY STATISTICS W/CONNECT >IP<
- Q.2.4 There are twelve (12) teams participating in a pub quiz. What is the probability of correctly predicting the top three teams at the end of the competition, in the correct order? Give your final answer as a fraction in its simplest form.arrow_forwardThe table below indicates the number of years of experience of a sample of employees who work on a particular production line and the corresponding number of units of a good that each employee produced last month. Years of Experience (x) Number of Goods (y) 11 63 5 57 1 48 4 54 5 45 3 51 Q.1.1 By completing the table below and then applying the relevant formulae, determine the line of best fit for this bivariate data set. Do NOT change the units for the variables. X y X2 xy Ex= Ey= EX2 EXY= Q.1.2 Estimate the number of units of the good that would have been produced last month by an employee with 8 years of experience. Q.1.3 Using your calculator, determine the coefficient of correlation for the data set. Interpret your answer. Q.1.4 Compute the coefficient of determination for the data set. Interpret your answer.arrow_forwardCan you answer this question for mearrow_forward
- Techniques QUAT6221 2025 PT B... TM Tabudi Maphoru Activities Assessments Class Progress lIE Library • Help v The table below shows the prices (R) and quantities (kg) of rice, meat and potatoes items bought during 2013 and 2014: 2013 2014 P1Qo PoQo Q1Po P1Q1 Price Ро Quantity Qo Price P1 Quantity Q1 Rice 7 80 6 70 480 560 490 420 Meat 30 50 35 60 1 750 1 500 1 800 2 100 Potatoes 3 100 3 100 300 300 300 300 TOTAL 40 230 44 230 2 530 2 360 2 590 2 820 Instructions: 1 Corall dawn to tha bottom of thir ceraan urina se se tha haca nariad in archerca antarand cubmit Q Search ENG US 口X 2025/05arrow_forwardThe table below indicates the number of years of experience of a sample of employees who work on a particular production line and the corresponding number of units of a good that each employee produced last month. Years of Experience (x) Number of Goods (y) 11 63 5 57 1 48 4 54 45 3 51 Q.1.1 By completing the table below and then applying the relevant formulae, determine the line of best fit for this bivariate data set. Do NOT change the units for the variables. X y X2 xy Ex= Ey= EX2 EXY= Q.1.2 Estimate the number of units of the good that would have been produced last month by an employee with 8 years of experience. Q.1.3 Using your calculator, determine the coefficient of correlation for the data set. Interpret your answer. Q.1.4 Compute the coefficient of determination for the data set. Interpret your answer.arrow_forwardQ.3.2 A sample of consumers was asked to name their favourite fruit. The results regarding the popularity of the different fruits are given in the following table. Type of Fruit Number of Consumers Banana 25 Apple 20 Orange 5 TOTAL 50 Draw a bar chart to graphically illustrate the results given in the table.arrow_forward
- Q.2.3 The probability that a randomly selected employee of Company Z is female is 0.75. The probability that an employee of the same company works in the Production department, given that the employee is female, is 0.25. What is the probability that a randomly selected employee of the company will be female and will work in the Production department? Q.2.4 There are twelve (12) teams participating in a pub quiz. What is the probability of correctly predicting the top three teams at the end of the competition, in the correct order? Give your final answer as a fraction in its simplest form.arrow_forwardQ.2.1 A bag contains 13 red and 9 green marbles. You are asked to select two (2) marbles from the bag. The first marble selected will not be placed back into the bag. Q.2.1.1 Construct a probability tree to indicate the various possible outcomes and their probabilities (as fractions). Q.2.1.2 What is the probability that the two selected marbles will be the same colour? Q.2.2 The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred brand of sports watch: PREFERRED BRAND OF SPORTS WATCH Samsung Apple Garmin TOTAL No. of Females 30 100 40 170 No. of Males 75 125 80 280 TOTAL 105 225 120 450 Q.2.2.1 What is the probability of randomly selecting a respondent from the sample who prefers Garmin? Q.2.2.2 What is the probability of randomly selecting a respondent from the sample who is not female? Q.2.2.3 What is the probability of randomly…arrow_forwardTest the claim that a student's pulse rate is different when taking a quiz than attending a regular class. The mean pulse rate difference is 2.7 with 10 students. Use a significance level of 0.005. Pulse rate difference(Quiz - Lecture) 2 -1 5 -8 1 20 15 -4 9 -12arrow_forward
- The following ordered data list shows the data speeds for cell phones used by a telephone company at an airport: A. Calculate the Measures of Central Tendency from the ungrouped data list. B. Group the data in an appropriate frequency table. C. Calculate the Measures of Central Tendency using the table in point B. D. Are there differences in the measurements obtained in A and C? Why (give at least one justified reason)? I leave the answers to A and B to resolve the remaining two. 0.8 1.4 1.8 1.9 3.2 3.6 4.5 4.5 4.6 6.2 6.5 7.7 7.9 9.9 10.2 10.3 10.9 11.1 11.1 11.6 11.8 12.0 13.1 13.5 13.7 14.1 14.2 14.7 15.0 15.1 15.5 15.8 16.0 17.5 18.2 20.2 21.1 21.5 22.2 22.4 23.1 24.5 25.7 28.5 34.6 38.5 43.0 55.6 71.3 77.8 A. Measures of Central Tendency We are to calculate: Mean, Median, Mode The data (already ordered) is: 0.8, 1.4, 1.8, 1.9, 3.2, 3.6, 4.5, 4.5, 4.6, 6.2, 6.5, 7.7, 7.9, 9.9, 10.2, 10.3, 10.9, 11.1, 11.1, 11.6, 11.8, 12.0, 13.1, 13.5, 13.7, 14.1, 14.2, 14.7, 15.0, 15.1, 15.5,…arrow_forwardPEER REPLY 1: Choose a classmate's Main Post. 1. Indicate a range of values for the independent variable (x) that is reasonable based on the data provided. 2. Explain what the predicted range of dependent values should be based on the range of independent values.arrow_forwardIn a company with 80 employees, 60 earn $10.00 per hour and 20 earn $13.00 per hour. Is this average hourly wage considered representative?arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
