
Concept explainers
(a)
The level of significance, null and alternative hypothesis & determine whether we should use a left-tailed, right-tailed, or two-tailed test.
(a)

Answer to Problem 14P
Solution: The level of significance is
Explanation of Solution
The level of significance is defined as the probability of rejecting the null hypothesis when it is true, it is denoted by
Null hypothesis
Alternative hypothesis
Since
(b)
To find: The sampling distribution that should be used along with assumptions and compute the value of the sample test statistic.
(b)

Answer to Problem 14P
Solution: The sampling distribution of
Explanation of Solution
Calculation:
A | B | d = A - B | ||
12.7 | 9.8 | 2.9 | 3.24 | |
13.4 | 14.5 | -1.1 | 4.84 | |
12.8 | 10.7 | 2.1 | 1 | |
12.1 | 14.2 | -2.1 | 10.24 | |
11.6 | 13 | -1.4 | 6.25 | |
11.1 | 12.9 | -1.8 | 8.41 | |
14.2 | 10.9 | 3.3 | 4.84 | |
15.1 | 10 | 5.1 | 16 | |
12.5 | 14.1 | -1.6 | 7.29 | |
12.3 | 13.6 | -1.3 | 5.76 | |
13.1 | 9.1 | 4 | 8.41 | |
15.8 | 10.2 | 5.6 | 20.25 | |
10.3 | 17.9 | -7.6 | 75.69 | |
12.7 | 11.8 | 0.9 | 0.04 | |
11.1 | 7 | 4.1 | 9 | |
15.7 | 9.2 | 6.5 | 29.16 | |
Sum | 206.5 | 188.9 | 17.6 | 210.42 |
Average | 12.90625 | 11.80625 | 1.1 | 13.15125 |
The d distribution is mound shaped and symmetrical and we have a random sample of
Using
(c)
To find: The P-value of the test statistic and sketch the sampling distribution showing the area corresponding to the P-value.
(c)

Answer to Problem 14P
Solution: The P-value of the test statistic is 0.2602.
Explanation of Solution
Calculation:
We have t = 1.17
Using Table 4 from the Appendix to find the specified area:
Graph:
To draw the required graphs using the Minitab, follow the below instructions:
Step 1: Go to the Minitab software.
Step 2: Go to Graph > Probability distribution plot > View probability.
Step 3: Select ‘t’ and enter d.f = 15.
Step 4: Click on the Shaded area >X value.
Step 5: Enter X-value as 1.17 and select ‘Both Tail’.
Step 6: Click on OK.
The obtained distribution graph is:
(d)
Whether we reject or fail to reject the null hypothesis and whether the data is statistically significant for a level of significance of 0.01.
(d)

Answer to Problem 14P
Solution: The P-value
Explanation of Solution
The P-value of 0.2602 is greater than the level of significance (
) of 0.01. Therefore we don’t have enough evidence to reject the null hypothesis
(e)
The interpretation for the conclusion.
(e)

Answer to Problem 14P
Solution: There is not enough evidence to conclude that there is difference in the population average birthrate and death rate in this region.
Explanation of Solution
The P-value of 0.2602 is greater than the level of significance (
) of 0.01. Therefore we don’t have enough evidence to reject the null hypothesis
Want to see more full solutions like this?
Chapter 10 Solutions
Understanding Basic Statistics
- Pls help asaparrow_forwardSolve the following LP problem using the Extreme Point Theorem: Subject to: Maximize Z-6+4y 2+y≤8 2x + y ≤10 2,y20 Solve it using the graphical method. Guidelines for preparation for the teacher's questions: Understand the basics of Linear Programming (LP) 1. Know how to formulate an LP model. 2. Be able to identify decision variables, objective functions, and constraints. Be comfortable with graphical solutions 3. Know how to plot feasible regions and find extreme points. 4. Understand how constraints affect the solution space. Understand the Extreme Point Theorem 5. Know why solutions always occur at extreme points. 6. Be able to explain how optimization changes with different constraints. Think about real-world implications 7. Consider how removing or modifying constraints affects the solution. 8. Be prepared to explain why LP problems are used in business, economics, and operations research.arrow_forwardged the variance for group 1) Different groups of male stalk-eyed flies were raised on different diets: a high nutrient corn diet vs. a low nutrient cotton wool diet. Investigators wanted to see if diet quality influenced eye-stalk length. They obtained the following data: d Diet Sample Mean Eye-stalk Length Variance in Eye-stalk d size, n (mm) Length (mm²) Corn (group 1) 21 2.05 0.0558 Cotton (group 2) 24 1.54 0.0812 =205-1.54-05T a) Construct a 95% confidence interval for the difference in mean eye-stalk length between the two diets (e.g., use group 1 - group 2).arrow_forward
- An article in Business Week discussed the large spread between the federal funds rate and the average credit card rate. The table below is a frequency distribution of the credit card rate charged by the top 100 issuers. Credit Card Rates Credit Card Rate Frequency 18% -23% 19 17% -17.9% 16 16% -16.9% 31 15% -15.9% 26 14% -14.9% Copy Data 8 Step 1 of 2: Calculate the average credit card rate charged by the top 100 issuers based on the frequency distribution. Round your answer to two decimal places.arrow_forwardPlease could you check my answersarrow_forwardLet Y₁, Y2,, Yy be random variables from an Exponential distribution with unknown mean 0. Let Ô be the maximum likelihood estimates for 0. The probability density function of y; is given by P(Yi; 0) = 0, yi≥ 0. The maximum likelihood estimate is given as follows: Select one: = n Σ19 1 Σ19 n-1 Σ19: n² Σ1arrow_forward
- Please could you help me answer parts d and e. Thanksarrow_forwardWhen fitting the model E[Y] = Bo+B1x1,i + B2x2; to a set of n = 25 observations, the following results were obtained using the general linear model notation: and 25 219 10232 551 XTX = 219 10232 3055 133899 133899 6725688, XTY 7361 337051 (XX)-- 0.1132 -0.0044 -0.00008 -0.0044 0.0027 -0.00004 -0.00008 -0.00004 0.00000129, Construct a multiple linear regression model Yin terms of the explanatory variables 1,i, x2,i- a) What is the value of the least squares estimate of the regression coefficient for 1,+? Give your answer correct to 3 decimal places. B1 b) Given that SSR = 5550, and SST=5784. Calculate the value of the MSg correct to 2 decimal places. c) What is the F statistics for this model correct to 2 decimal places?arrow_forwardCalculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American adults. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Heart Rates in Beats per Minute Class Frequency 51-58 5 59-66 8 67-74 9 75-82 7 83-90 8arrow_forward
- can someone solvearrow_forwardQUAT6221wA1 Accessibility Mode Immersiv Q.1.2 Match the definition in column X with the correct term in column Y. Two marks will be awarded for each correct answer. (20) COLUMN X Q.1.2.1 COLUMN Y Condenses sample data into a few summary A. Statistics measures Q.1.2.2 The collection of all possible observations that exist for the random variable under study. B. Descriptive statistics Q.1.2.3 Describes a characteristic of a sample. C. Ordinal-scaled data Q.1.2.4 The actual values or outcomes are recorded on a random variable. D. Inferential statistics 0.1.2.5 Categorical data, where the categories have an implied ranking. E. Data Q.1.2.6 A set of mathematically based tools & techniques that transform raw data into F. Statistical modelling information to support effective decision- making. 45 Q Search 28 # 00 8 LO 1 f F10 Prise 11+arrow_forwardStudents - 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_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill

