Statistics for Engineers and Scientists (Looseleaf)
4th Edition
ISBN: 9780073515687
Author: Navidi
Publisher: MCG
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Chapter 7.1, Problem 12E
To determine
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Based on a recent study about language development, it is recommended children learn a second language when they are 10 years old. A linguist believes the average age children learn a second language is less than the age stated in the study. To test this claim, at the 2.5% significance level, the linguist collects the following data on a sample of 21 children learning a second language and records the age of when they started learning the second language. The following is the data from this study:
Sample size =21 childrenSample mean =9.2 years oldSample standard deviation =2.5 years old
Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol (=,≠,<, or > to represent the correct hypothesis.)
Provide your answer below:
null hypothesis : $\mu$μ 10
alternative hypothesis : $\mu$μ 10
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A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting.
Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher.
The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as:
H00 : μDD = 0
H11 : μDD ≠ 0
Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test:
Mean difference (MDD)
1.4
Estimated population standard deviation of the differences (s)
1.6
Estimated standard error of the mean differences (sMDMD)
0.2667
Degrees of freedom (df)
35
The t statistic
5.25
The critical values of t…
Chapter 7 Solutions
Statistics for Engineers and Scientists (Looseleaf)
Ch. 7.1 - Compute the correlation coefficient for the...Ch. 7.1 - For each of the following data sets, explain why...Ch. 7.1 - For each of the following scatterplots, state...Ch. 7.1 - True or false, and explain briefly: a. If the...Ch. 7.1 - In a study of ground motion caused by earthquakes,...Ch. 7.1 - A chemical engineer is studying the effect of...Ch. 7.1 - Another chemical engineer is studying the same...Ch. 7.1 - Tire pressure (in kPa) was measured for the right...Ch. 7.1 - Prob. 10ECh. 7.1 - The article Drift in Posturography Systems...
Ch. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - A scatterplot contains four points: (2, 2), (1,...Ch. 7.2 - Each month for several months, the average...Ch. 7.2 - In a study of the relationship between the Brinell...Ch. 7.2 - A least-squares line is fit to a set of points. If...Ch. 7.2 - Prob. 4ECh. 7.2 - In Galtons height data (Figure 7.1, in Section...Ch. 7.2 - In a study relating the degree of warping, in mm....Ch. 7.2 - Moisture content in percent by volume (x) and...Ch. 7.2 - The following table presents shear strengths (in...Ch. 7.2 - Structural engineers use wireless sensor networks...Ch. 7.2 - The article Effect of Environmental Factors on...Ch. 7.2 - An agricultural scientist planted alfalfa on...Ch. 7.2 - Curing times in days (x) and compressive strengths...Ch. 7.2 - Prob. 13ECh. 7.2 - An engineer wants to predict the value for y when...Ch. 7.2 - A simple random sample of 100 men aged 2534...Ch. 7.2 - Prob. 16ECh. 7.3 - A chemical reaction is run 12 times, and the...Ch. 7.3 - Structural engineers use wireless sensor networks...Ch. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - The coefficient of absorption (COA) for a clay...Ch. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Three engineers are independently estimating the...Ch. 7.3 - In the skin permeability example (Example 7.17)...Ch. 7.3 - Prob. 12ECh. 7.3 - In a study of copper bars, the relationship...Ch. 7.3 - Prob. 14ECh. 7.3 - In the following MINITAB output, some of the...Ch. 7.3 - Prob. 16ECh. 7.3 - In order to increase the production of gas wells,...Ch. 7.4 - The following output (from MINITAB) is for the...Ch. 7.4 - The processing of raw coal involves washing, in...Ch. 7.4 - To determine the effect of temperature on the...Ch. 7.4 - The depth of wetting of a soil is the depth to...Ch. 7.4 - Good forecasting and control of preconstruction...Ch. 7.4 - The article Drift in Posturography Systems...Ch. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - A windmill is used to generate direct current....Ch. 7.4 - Two radon detectors were placed in different...Ch. 7.4 - Prob. 11ECh. 7.4 - The article The Selection of Yeast Strains for the...Ch. 7.4 - Prob. 13ECh. 7.4 - The article Characteristics and Trends of River...Ch. 7.4 - Prob. 15ECh. 7.4 - The article Mechanistic-Empirical Design of...Ch. 7.4 - An engineer wants to determine the spring constant...Ch. 7 - The BeerLambert law relates the absorbance A of a...Ch. 7 - Prob. 2SECh. 7 - Prob. 3SECh. 7 - Refer to Exercise 3. a. Plot the residuals versus...Ch. 7 - Prob. 5SECh. 7 - The article Experimental Measurement of Radiative...Ch. 7 - Prob. 7SECh. 7 - Prob. 8SECh. 7 - Prob. 9SECh. 7 - Prob. 10SECh. 7 - The article Estimating Population Abundance in...Ch. 7 - A materials scientist is experimenting with a new...Ch. 7 - Monitoring the yield of a particular chemical...Ch. 7 - Prob. 14SECh. 7 - Refer to Exercise 14. Someone wants to compute a...Ch. 7 - Prob. 16SECh. 7 - Prob. 17SECh. 7 - Prob. 18SECh. 7 - Prob. 19SECh. 7 - Use Equation (7.34) (page 545) to show that 1=1.Ch. 7 - Use Equation (7.35) (page 545) to show that 0=0.Ch. 7 - Prob. 22SECh. 7 - Use Equation (7.35) (page 545) to derive the...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- What is an experiment? Give two examples.arrow_forwardA social psychological study sampling male and female 8th graders across 34 countries indicated that there is a negative correlation between each country's level of gender stereotypes and girls' academic achievement scores on math and sciences (relative to boys' scores). Which of the following interpretations is NOT valid? O a. Gender stereotypes might have affected girls' relative academic performance on math and sciences such that in a country where gender stereotypes are stronger, girls perform more poorly on math and sciences compared with boys. O b. Girls' relative academic performances on math and sciences can be attributable to gender stereotypes of the country. That is, gender stereotypes cause and determine girls' relative academic performances on math and sciences c. There may be unknown third variables such as parents' expectation or socioeconomic status that might have affected both gender stereotypes and girls' relative academic performance on math and sciences in those…arrow_forwardBullies learn early from parents or caretakers "that being aggressive and physically coercive is a way to get other people to do what they want and to increase their status and self-esteem." Most remain bullies throughout their lives. In a study conducted at the University of Bergen in Norway, a psycholog ist tracked thousands of young boys and found of those identified as bullies in the second grade, 65 percent had felony convic-tions by early adulthood. Out of a random sample of 50 such second-grade bullies, how many would you expect to have felony convictions by early adulthood? find the probability you will get 30 or more convicted felons. find the probability you will get 35 or more convicted felons. d. find the probability you will get between 28 and 40 convicted felons.arrow_forward
- Was the study an experiment (see Chapter 11) or quasi-experiment (see Chapter 12)? How do you know? Levine, L. J., Burgess, S. L., & Laney, C. (2008). Effects of discrete emotions on young children’s suggestibility. Developmental Psychology, 44, 681–694. Purpose of the Study. Levine, Burgess, and Laney (2008) conducted a study to investigate the effect of children’s emotions on their memory abilities and the likelihood that their memory accuracy would decline due to leading questions about their memories for a story. This knowledge may be useful in determining the conditions under which children’s memories are less likely to be accurate, which is important in various applied situations, such as when children must testify in court about something they experienced. Method of the Study. Four- and six-year-old children participated in the study. Each child was presented with three stories. A task at the end of each story was designed to elicit happiness, sadness, or anger. This…arrow_forwardIn this same passage, is it explanatory variable or response variable?arrow_forward
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