Using a P-Value with a t-Test In Exercises 27–30, (a) identify the claim and state H0 and Ha, (b) use technology to find the P-value, (c) decide whether to reject or fail to reject the null hypothesis, and (d) interpret the decision in the context of the original claim. Assume the population is
27. Quarter Mile Times A consumer group claims that the
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Elementary Statistics: Picturing the World (7th Edition)
- Finding a Prediction Interval. In Exercises 13–16, use the paired data consisting of registered Florida boats (tens of thousands) and manatee fatalities from boat encounters listed in Data Set 10 “Manatee Deaths” in Appendix B. Let x represent number of registered boats and let y represent the corresponding number of manatee deaths. Use the given number of registered boats and the given confidence level to construct a prediction interval estimate of manatee deaths. Boats Use x = 98 (for 980,000 registered boats) with a 95% confidence level.arrow_forwardNominal Data. In Exercises 9–12, use the sign test for the claim involving nominal data. Births A random sample of 860 births in New York State included 426 boys and 434 girls. Use a 0.05 significance level to test the claim that when babies are born, boys and girls are equally likely.arrow_forwardState whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain. (a) t = -2.272 (b) t = 2.154 (c) t = 2.303 (d) t= -2.301 -to = -2.226 to = 2.226arrow_forward
- bartam 40. GUeTticient of skewness and interpret the result : Age below (yrs) No. of employees 25 8. 30 20 35 40 40 65 45 80 50 92 55 100arrow_forwardQuestion Heip An education researcher claims that at most 3% of working college students are employed as teachers or teaching assistants. In a random sample of 400 working college students, 5% are employed as teachers or teaching assistants.. At = 0.10, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H, 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.) O A. % of working college students are employed as teachers or teaching assistants. O B. The percentage of working college students who are employed as teachers or teaching assistants is not %. Inco OC. At most % of working college students are employed as teachers or teaching assistants. ontents O D. More than % of working college students are employed as teachers or teaching assistants. e Resources Success r Success edia Library ase…arrow_forwardUsing the chi-square test to determine whether a bowling score is independent of age and RH vs. LH LH RH 10-19 110 105 20-29 115 110 30-39 120 115 A. find expected values B. find the test-statisticsarrow_forward
- d, e, and farrow_forwardJob satisfaction: The General Social Survey sampled 710 employed people and asked them how satisfied they were with their jobs. Of the 710 people sampled, 333 said that they were completely satisfied or very satisfied with their jobs. Can you conclude that the percentage of people who are completely or very satisfied with their jobs differs from 0.45? Ho p = 0.45 H₁ :p #0.45 Part: 0 / 3 Part 1 of 3 (a) Compute the value of the test statistic. Round your answer to two decimal places. The test statistic is X Garrow_forwardExample. both SAT and ACT scores' distributions are mound shaped Mean 1000, Std. Dev. of 200 Mean 21, Std. Dev. of 6 SAT: ACT: Which is better, a score of 1270 on the SAT or a score of 28 on the ACT? वाषषार RA T DC Fe F7 F 4 F3 esc F2 & delete $ 0 7 6 4 2 P U Y T R E tab K ret G D S A ? caps lock V C X hift command option puewwo control CO UL LO N FLORIDA UNIT 40 ALIS श सासतसarrow_forward
- Claim:More than 3.5% of homes have only a landline telephone and no wireless phone. Sample data: A survey by the National Center for Health Statistics showed that among 12,313 homes 5.77% had landline phones without wireless phones. Complete parts (a) and (b). Question content area bottom Part 1 a. Express the original claim in symbolic form. Let the parameter represent a value with respect to homes that have only a landline telephone and no wireless phone. ▼ muμ sigmaσ pp ▼ equals= less than< not equals≠ greater than> enter your response here (Type an integer or a decimal. Do not round.) Part 2 b. Identify the null and alternative hypotheses. H0: ▼ muμ pp sigmaσ ▼ greater than> less than< not equals≠ equals= enter your response here H1: ▼ pp sigmaσ muμ ▼ less than< equals= greater than> not equals≠ enter your response here (Type integers or decimals. Do not round.)arrow_forwardTo test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 21 29 21 26 25 18 25 32 22 20 26 23 (a) Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use a = 0.05. State the null and alternative hypotheses. O Ho: H1 # H2 # Hz Hai H1 = H2 = H3 O H,: Not all the population means are equal. Ha: H1 = H2 = Mz O H,: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H1 = H2 = H3 O Ho: H1 = H2 = Mz H: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject H.. There is sufficient evidence to conclude that the…arrow_forwardDetermine whether the standardized test statistic t indicates that you should reject null hypothesis. Explain a. T=1.506 b. t=0 c. T=-1.368 d. T=-1.483arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage