How many simple random samples of size 3 can be selected from a population of size 8?
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- An experiment to determine the effect of mold temperature on tensile strength involved three different alloys and five different mold temperatures. Four specimens of each alloy were cast at each mold temperature. With mold temperature as the row factor and alloy as the column factor, the sums of squares were: SSA = 69,738, SSB = 8958, SSAB = 7275, and SST = 201,816. a) Construct an ANOVA table. You may give ranges for the P-values. b) Is the additive model plausible? Explain. c) Is it plausible that the main effects of mold temperature are all equal to 0? Provide the value of the test statistic and the P-value. d) Is it plausible that the main effects of alloy are all equal to 0? Provide the value of the test statistic and the P-value.Suppose a simple random sample of size n=125 is obtained from a population whose size is N=10,000 and whose population proportion with a specified characteristic is p= 0.4How many degrees of freedom will the error have in a randomized block design with five treatments and three blocks?
- A chi-square homogeneity test is to be conducted to decide whether a difference exists among the distributions of a variable of six populations. The variable has five possible values. What are the degrees of freedom for the χ2-statistic?Suppose it is known that in a certain community 30% of the household have a micro-wave oven. if we select a simple random sample of 19 households from this population, how many would we expect to have mirco-waves ovens?the brand name of a certain chain of coffee shops has a 6% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. he selects a random sample of 6 Coffleton residents, find the probabilty that the number that recognize the brand name is not 4
- A car dealer is interested in comparing the average gas mileages of four different car models. The dealer believes that the average gas mileage of a particular car will vary depending on the person who is driving the car due to different driving styles. Because of this, he decides to use a randomized block design. He randomly selects five drivers and asks them to drive each of the cars. He then determines the average gas mileage for each car and each driver. Can the dealer conclude that there is a significant difference in average gas mileages of the four car models? The results of the study are as follows. Average Gas Mileage Driver Car A Car B Car C Car D Driver 1 3232 2222 3030 3939 Driver 2 2121 3939 3838 3737 Driver 3 2626 3131 3232 3939 Driver 4 3838 4040 2323 3434 Driver 5 3131 2929 2121 2222 Copy Data ANOVA Source of Variation SSSS dfdf MSMS Rows 174.2000174.2000 44 43.550043.5500 Columns 91.600091.6000 33 30.533330.5333 Error 607.4000607.4000 1212…AP Stats Free Res ponse - Period 6 Name Date Many people consider Fosco University every year for its large graduate programs (estimated over 7,500 students each year). Fos co University provides housing for 10% of the gradua te students on campus. The housing office thinks that the percentage of graduate students looking for campus housing may be more than 10%. The office decides to survey a random sa mple of graduate students, and 62 of the 481 respondents say that they are looking for housing on campus. (a) With the results of the survey, would you recommend that the Fosco U niversity consider increasing the amount of housing on campus for graduate students? Give the appropriate evidence/test to support your dlaim. Use a significance level of.05. (b) In addition to the 481 graduate students who completed the survey, an additional 19 students did not respond. If the 19 responded, would you change your recommendation? Explain and show work.In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments (a total of 65 observations). Also, the design provided the following information. SSTR = 300 (Sum of Squares Due to Treatments) SST = 800 (Total Sum of Squares) The sum of squares due to error (SSE) is 1100. 500. 300. 1600.
- A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting a random sample of 8 workers and timing each worker on each assembly process. Half of the workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is recorded, as shown in Table 1. Worker Process 1 Process 2 Difference(Process 1 - Process 2) 1 34 12 22 2 86 65 21 3 67 36 31 4 81 70 11 5 35 8 27 6 54 46 8 7 71 31 40 8 57 57 0 Table 1 Based on these data, can the company conclude, at the 0.10 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding μd (which is μ with a letter "d" subscript), the population mean difference in…In a completely randomized experimental design involving four treatments, 20 observations were recorded for each of the four treatments. The following information is provided: SSTR = 154 and SST = 342. What does the sum of squares within treatments (SSE) equal?The FAA is interested in knowing if there is a difference in the average number of on-time arrivals for four of the major airlines. The FAA believes that the number of on-time arrivals varies by airport, therefore, a randomized block design is used for the study. To control for this variation, they randomly select 100100 flights for each of the major airlines at each of four randomly selected airports and record the number of on-time flights. Can the FAA conclude that there is a significant difference among the average number of on-time arrivals for the four major airlines? The results of the study are as follows. Average Number of On-Time Arrivals Airport Airline A Airline B Airline C Airline D Airport A 9090 8282 8080 8383 Airport B 8282 7070 7474 7979 Airport C 8787 8484 7676 8888 Airport D 9090 7979 7979 9090 Copy DataANOVA Source of Variation SSSS dfdf MSMS Rows 181.6875181.6875 33 60.562560.5625 Columns 278.6875278.6875 33 92.895892.8958 Error…
