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For Exercises 5–8: (a) State the null hypothesis and the alternate hypothesis. (b) State the decision rule. (c) Compute the value of the test statistic. (d) What is your decision regarding H0? (e) What is the p-value? Interpret it.
5. The manufacturer of the X-15 steel-belted radial truck tire claims that the
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Chapter 10 Solutions
Loose Leaf for Statistical Techniques in Business and Economics
- Do people walk faster in the airport when they are departing (getting on a plane) or do they walk faster when they are arriving (getting off a plane)? A reputable researcher measured the walking speed of random travelers in two International Airports. His findings are summarized in the table. Complete parts (a)-(c) below. Click the icon to view the findings.arrow_forwardShort Answer and SPSS K1. Oodles of Noodles, an artisanal noodle manufacturing company in Brooklyn, makes three kinds of handmade, organic, ethically sourced noodles; Thick, Medium and Thin. They are interested in determining which noodle people tend to prefer and which one has the best "mouth feel" as it is referred to in the food industry. They consult with you (as a statistical expert) to collect data from their consumers. You devise a pleasantness rating scale for the noodles with 1 being the most pleasant to 5 being the least pleasant (so that lower scores indicate better "mouth feel"). You randomly assign 60 individuals to one of three separate groups. Twenty individuals taste and rate the thick noodles, another twenty individuals rate the medium noodles, and another twenty individuals rate the thin noodles. The data for this question can be found in the file labeled "Noodles" on BB. (20 points) (FYI, I like thinner noodles, think Ramen or angel hair pasta, what about you?) Using…arrow_forwardYou take a survey that is supposed to measure whether you are an extrovert or not. The score you get on the extrovert survey is a z-score of 2.0. What does that mean about your level of extraversion compared to the average score?arrow_forward
- woman loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests. He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat testand how they did on the test, enters the data into a computer for analysis and presents the results below. ANALYSIS OF HOURS AND GRADES (n = 16): Descriptive Statistics: HOURS GRADES Mean: 4.2 75.8 Mode: 5.0 79.0 St. Dev: 2.3 10.1 Quartiles: Q0 2.0 34.0 Q1 3.2 53.7 Q2 4.7 78.5 Q3 6.3 86.9 Q4 9.0 97.0 Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027 F = 8.52 p = .018 What is the correlation between hours studied and grades? a. 0.016 b. 0.992 c. 0.985 d. cannot be determined e. 0.12arrow_forward(d) Use the t-test to find the standardized test statistic t.arrow_forwardDo people walk faster in the airport when they are departing (getting on a plane) or do they walk faster when they are arriving (getting off a plane)? A reputable researcher measured the walking speed of random travelers in two International Airports. His findings are summarized in the table. Complete parts (a)-(c) below. EEE Click the icon to view the findings. O A. This is an observational study since the researcher influenced the data Walking Speed O B. This is a designed experiment since the researcher influenced the data. O C. This is a designed experiment since the researcher did not influence the data. Direction of Travel Departure 251 Arrival O D. This is an observational study since the researcher did not influence the data. Mean speed (feet per minute) Standard deviation (feet per minute) Sample size 274 (b) Explain why it is reasonable to use Welch's t-test. 45 38 O A. The populations are normally distributed. O B. The samples are random, large and independent 35 35 O C. The…arrow_forward
- Is the average time to complete an obstacle course shorter when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Time to Complete the Course Right 43 50 42 48 50 50 47 48 Left 44 50 42 53 48 53 47 48 Assume a Normal distribution. What can be concluded at the the a = 0.10 level of significance level of significance?arrow_forwardman loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests. He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test and how they did on the test, enters the data into a computer for analysis and presents the results below. ANALYSIS OF HOURS AND GRADES (n = 16): Descriptive Statistics: HOURS GRADES Mean: 4.2 75.8 Mode: 5.0 79.0 St. Dev: 2.3 10.1 Quartiles: Q0 2.0 34.0 Q1 3.2 53.7 Q2 4.7 78.5 Q3 6.3 86.9 Q4 9.0 97.0 Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027 F = 8.52 p = .018 What is the median number of hours studied? a. 2.3 b. 4.7 c. 4.5 d. 4.2 e. 5.5 f. 5 g. cannot be determinedarrow_forwardman loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests. He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test and how they did on the test, enters the data into a computer for analysis and presents the results below. ANALYSIS OF HOURS AND GRADES (n = 16): Descriptive Statistics: HOURS GRADES Mean: 4.2 75.8 Mode: 5.0 79.0 St. Dev: 2.3 10.1 Quartiles: Q0 2.0 34.0 Q1 3.2 53.7 Q2 4.7 78.5 Q3 6.3 86.9 Q4 9.0 97.0 Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027 F = 8.52 p = .018 We know that 25% of all the grades falls into which of these regions? a. 78.5 to 79.0 b. 78.5 to 86.9 c. 75.8 to 86.9 d. 75.8 to 97.0 e. 78.5 to 97.0 f. 75.8 to 79.0arrow_forward
- man loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests. He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test and how they did on the test, enters the data into a computer for analysis and presents the results below. ANALYSIS OF HOURS AND GRADES (n = 16): Descriptive Statistics: HOURS GRADES Mean: 4.2 75.8 Mode: 5.0 79.0 St. Dev: 2.3 10.1 Quartiles: Q0 2.0 34.0 Q1 3.2 53.7 Q2 4.7 78.5 Q3 6.3 86.9 Q4 9.0 97.0 Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027 F = 8.52 p = .018 What problem might there be in using the regression model to predict what grade a student might get if they studied 10 hours? a. The predicted grade for 10 hours is more than 100, which is impossible. b. The value of 10…arrow_forwardQ.1 Dr. Star is interested in whether the physical coordination skills among low-income pre-school children are different from those of other children. She knows the population mean for the Pre- School Coordination Activity Test (PCAT) is 120 with o x= 10. She tests 80 preschoolers from low-income families and obtains an X= 122. a. Should Dr. Star do a one-tailed or a two-tailed test? Explain your answer. b. State the appropriate H o and H a , given your answer in part a. c. Use at a = 0.05. What is the value of zcrit ? d. Calculate z obt e. Using symbols, report your findings. f. What should Dr. Star conclude?arrow_forwardAn education researcher claims that 62% of college students work year-round. In a random sample of 300 college students, 186 say they work year-round. At a=0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. The percentage of college students who work year-round is not ______%. B. At most ______% of college students workyear-round. C. At least ______% of college students work year-round. D. ______% of college students work year-round. (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic z. (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
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