
Concept explainers
1.
Find the
1.

Answer to Problem 12CAP
The range of data in the sample is 21.
Explanation of Solution
Calculation:
The data measures the number of minutes (per day) that a small hypothetical population of college students spends online. The sample consists of persons A, B, C, F, G, H, I, and J.
Range:
The difference between the largest value in the data set and smallest value in the data set is termed as range.
The formula for range is,
The largest value is 98 and the smallest value is 77. The range is,
Hence, the value of range is 21.
2.
Find the IQR of data in this sample.
2.

Answer to Problem 12CAP
The IQR of data in this sample is 11.
Explanation of Solution
Calculation:
Arrange the data in the numeric order 77, 82, 88, 88, 92, 94, 98, 98. That is
The formula to find the
Follow the below steps to calculate IQR for given data:
The position of
First
The median of the lower half of the values from
Compute position of
The position of first quartile for data is,
The value that is in position 2.5 is 82 and 88. The value of lower quartile
The lower quartile
Third quartile:
The median of the upper half of the values from
Compute position of
The position of upper quartile for data is,
The value that is in position o is 94 and 98. The value of upper quartile
The lower quartile
The interquartile range is,
Hence, the IQR of data in this sample is 11.
3.
Find the SIQR of data in this sample.
3.

Answer to Problem 12CAP
The SIQR of data in this sample is 5.5.
Explanation of Solution
Calculation:
The formula to find the semi-interquartile range is,
From part 2, the IQR value is 11.
The semi-interquartile range is,
Hence, the SIQR of data in this sample is 5.5.
4.
Find the sample variance.
4.

Answer to Problem 12CAP
The sample variance is 55.41.
Explanation of Solution
Calculation:
The formula for the sum of the squared deviation is,
The sample variance is,
Follow the below steps to find the sum of the squared deviation for given data.
The population meanis,
The squared deviation for score 98 is,
Similarly, the squared deviation for the remaining scores is obtained as shown in table (1).
Minutes | Squared deviation |
98 | |
77 | |
88 | |
92 | |
94 | |
98 | |
88 | |
82 |
Table 1
The sum of squared deviation is,
The sample varianceis,
Hence, the sample varianceis 55.41.
5.
Find the sample standard deviation.
5.

Answer to Problem 12CAP
The sample standard deviationis 7.44.
Explanation of Solution
Calculation:
The samplevariance is 55.41.
The formula for the standard deviation is,
The standard deviation is,
Hence, the sample standard deviation is 7.44.
Want to see more full solutions like this?
Chapter 4 Solutions
Statistics for the Behavioral Sciences
- Students - Term 1 - Def X W QUAT6221wA1.docx X C Chat - Learn with Chegg | Cheg X | + w:/r/sites/TertiaryStudents/_layouts/15/Doc.aspx?sourcedoc=%7B2759DFAB-EA5E-4526-9991-9087A973B894% QUAT6221wA1 Accessibility Mode பg Immer The following table indicates the unit prices (in Rands) and quantities of three consumer products to be held in a supermarket warehouse in Lenasia over the time period from April to July 2025. APRIL 2025 JULY 2025 PRODUCT Unit Price (po) Quantity (q0)) Unit Price (p₁) Quantity (q1) Mineral Water R23.70 403 R25.70 423 H&S Shampoo R77.00 922 R79.40 899 Toilet Paper R106.50 725 R104.70 730 The Independent Institute of Education (Pty) Ltd 2025 Q Search L W f Page 7 of 9arrow_forwardCOM WIth Chegg Cheg x + w:/r/sites/TertiaryStudents/_layouts/15/Doc.aspx?sourcedoc=%7B2759DFAB-EA5E-4526-9991-9087A973B894%. QUAT6221wA1 Accessibility Mode Immersi The following table indicates the unit prices (in Rands) and quantities of three meals sold every year by a small restaurant over the years 2023 and 2025. 2023 2025 MEAL Unit Price (po) Quantity (q0)) Unit Price (P₁) Quantity (q₁) Lasagne R125 1055 R145 1125 Pizza R110 2115 R130 2195 Pasta R95 1950 R120 2250 Q.2.1 Using 2023 as the base year, compute the individual price relatives in 2025 for (10) lasagne and pasta. Interpret each of your answers. 0.2.2 Using 2023 as the base year, compute the Laspeyres price index for all of the meals (8) for 2025. Interpret your answer. Q.2.3 Using 2023 as the base year, compute the Paasche price index for all of the meals (7) for 2025. Interpret your answer. Q Search L O W Larrow_forwardQUAI6221wA1.docx X + int.com/:w:/r/sites/TertiaryStudents/_layouts/15/Doc.aspx?sourcedoc=%7B2759DFAB-EA5E-4526-9991-9087A973B894%7 26 QUAT6221wA1 Q.1.1.8 One advantage of primary data is that: (1) It is low quality (2) It is irrelevant to the purpose at hand (3) It is time-consuming to collect (4) None of the other options Accessibility Mode Immersive R Q.1.1.9 A sample of fifteen apples is selected from an orchard. We would refer to one of these apples as: (2) ھا (1) A parameter (2) A descriptive statistic (3) A statistical model A sampling unit Q.1.1.10 Categorical data, where the categories do not have implied ranking, is referred to as: (2) Search D (2) 1+ PrtSc Insert Delete F8 F10 F11 F12 Backspace 10 ENG USarrow_forward
- epoint.com/:w:/r/sites/TertiaryStudents/_layouts/15/Doc.aspx?sourcedoc=%7B2759DFAB-EA5E-4526-9991-9087A 23;24; 25 R QUAT6221WA1 Accessibility Mode DE 2025 Q.1.1.4 Data obtained from outside an organisation is referred to as: (2) 45 (1) Outside data (2) External data (3) Primary data (4) Secondary data Q.1.1.5 Amongst other disadvantages, which type of data may not be problem-specific and/or may be out of date? W (2) E (1) Ordinal scaled data (2) Ratio scaled data (3) Quantitative, continuous data (4) None of the other options Search F8 F10 PrtSc Insert F11 F12 0 + /1 Backspaarrow_forward/r/sites/TertiaryStudents/_layouts/15/Doc.aspx?sourcedoc=%7B2759DFAB-EA5E-4526-9991-9087A973B894%7D&file=Qu Q.1.1.14 QUAT6221wA1 Accessibility Mode Immersive Reader You are the CFO of a company listed on the Johannesburg Stock Exchange. The annual financial statements published by your company would be viewed by yourself as: (1) External data (2) Internal data (3) Nominal data (4) Secondary data Q.1.1.15 Data relevancy refers to the fact that data selected for analysis must be: (2) Q Search (1) Checked for errors and outliers (2) Obtained online (3) Problem specific (4) Obtained using algorithms U E (2) 100% 高 W ENG A US F10 点 F11 社 F12 PrtSc 11 + Insert Delete Backspacearrow_forwardA client of a commercial rose grower has been keeping records on the shelf-life of a rose. The client sent the following frequency distribution to the grower. Rose Shelf-Life Days of Shelf-Life Frequency fi 1-5 2 6-10 4 11-15 7 16-20 6 21-25 26-30 5 2 Step 2 of 2: Calculate the population standard deviation for the shelf-life. Round your answer to two decimal places, if necessary.arrow_forward
- A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use = .05 and the following data to test the hypothesis and comment on the value of the commercial. Purchase Rating Purchase Rating Individual After Before Individual After Before 1 6 5 5 3 5 2 6 4 6 9 8 3 7 7 7 7 5 4 4 3 8 6 6 What are the hypotheses?H0: d Ha: d Compute (to 3 decimals).Compute sd (to 1 decimal). What is the p-value?The p-value is What is your decision?arrow_forwardWhy would you use a histograph or bar graph? Which would be better and why for the data shown.arrow_forwardPlease help me with this question on statisticsarrow_forward
- Please help me with this statistics questionarrow_forwardPlease help me with the following statistics questionFor question (e), the options are:Assuming that the null hypothesis is (false/true), the probability of (other populations of 150/other samples of 150/equal to/more data/greater than) will result in (stronger evidence against the null hypothesis than the current data/stronger evidence in support of the null hypothesis than the current data/rejecting the null hypothesis/failing to reject the null hypothesis) is __.arrow_forwardPlease help me with the following question on statisticsFor question (e), the drop down options are: (From this data/The census/From this population of data), one can infer that the mean/average octane rating is (less than/equal to/greater than) __. (use one decimal in your answer).arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman





