After examining over one million online restaurant reviews and the associated weather conditions, Bakhshi, Kanuparthy, and Gilbert (2014) reported significantly higher ratings during moderate weather compared to very hot or very cold conditions. To verify this result, a researcher collected a sample of n = 25 reviews of local restaurants during an unusually hot period during July and August and obtained an average rating of M = 7.29. The complete set of reviews during the previous year averaged µ = 7.52 with a standard deviation of o = 0.60.
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- The mean output of solar cells of three types is measured six times under random light intensity over a period of 5 minutes, yielding the results shown. Research question: Is the mean solar cell output the same for all cell types?Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.05 level of significance whether the two methods of analysis give, on the average, the same result. Determine the test statistic t=?Two subspecies of dark-eyed juncos were studied by D. Cristol et al. One of the sub- species migrates each year, and the other does not. Several characteristics of 14 birds of each subspecies were measured, one of which was wing length. The following data, based on the results of the researchers, provide the wing lengths, in millimeters, for the samples of two subspecies. Assume that wing lengths in populations of subspecies are normally distributed.Migratory: n = 14, x ̄ = 82.1, s = 1.5 111Non-migratory: n = 14, x ̄ = 84.92, s = 1.69 222Conduct a hypothesis test to determine if the average wing lengths in two populations of subspecies are significantly different.(i.) State the hypotheses.(ii.) Test for equality of unknown population variances. (iii.) Calculate test statistic.(iv.) Calculate degrees of freedom.(v.) Calculate the p−value of the test.(vi.) State your decision based on the p−value.(vii.) Write the interpretation
- A reliability test of 800 electronic volatile organic compound (VOC) sensors was recently completed. If the sensors time to failure is Weibull distributed with a shape factor of 3.4, and 14% of the sensors were failed after 675 hours of operation, what is their characteristic life?After examining over one million online restaurant reviews and the associated weather conditions, Bakhshi, Kanuparthy, and Gilbert (2014) reported significantly higher ratings during moderate weather compared to very hot or very cold conditions. To verify this result, a researcher collected a sample of n = 25 reviews of local restaurants during an unusually hot period during July and August and obtained an average rating of M = 7.29. The complete set of reviews during the previous year averaged μ = 7.52 with a standard deviation of σ = 0.60.A consumer agency is interested in examining whether there is a difference in two common sealant products used to waterproof residential backyard decks. With cooperation of several builders in the area, they randomly assign 38 newly constructed decks to be treated with Very Clear deck sealant and another 37 newly constructed decks to be treated with Sure Seal deck sealant. After one year of being exposed to similar weather conditions, the decks are rated on a scale of 1 to 100. The mean rating for the decks treated with Very Clear is 89.2 with a standard deviation of 3.1. The mean rating for the decks treated with Sure Seal is 92.4 with a standard deviation of 3.8. Which of the following represents the 90 percent confidence interval to estimate the difference (Very Clear minus Sure Seal) in mean ratings for the two deck sealants? (89.2−92.4)±1.9603.1238+3.8237−−−−−−−−√ A (89.2−92.4)±1.6883.1238+3.8237−−−−−−−−√ B (89.2−92.4)±1.6453.1238+3.8237−−−−−−−−√ C…
- In a sample of five cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained: 0.06, 0.11, 0.16, 0.14, 0.18. Construct a 95% CI on the mean amount of nitrogen-oxide emissions for all cars. Assume nitrogen-oxide levels are normally distributed.1) In a time study conducted at a manufacturing plant, the time to complete a specified operation was measured for each of 40 workers. The mean and standard deviation were found to be 14.8 and 1.6, respectively. Describe the sample data using the empirical rule (Mendenhall et al., 2015).An occupational safety officer for a large company is conducting a study to investigate back problems in office workers who use a computer for most of the workday. The study will investigate the difference in back problems for workers who stand and workers who sit. A group of 68 volunteers have agreed to participate in the nine-month study. Half the group is randomly assigned to work while standing, and the other half is assigned to work while sitting. At the end of the study, the mean number of back problems between the two groups will be calculated. The officer will use the results to estimate the difference in the mean number of back problems between those who work while standing and those who work while sitting. Which of the following is an appropriate inference procedure for the study? A A one-sample t-interval for a population mean A one-sample t-interval for a sample mean A matched pairs t-interval for a mean difference D A two-sample t-interval for a difference between sample…
- An article described an experiment in which observations on various characteristics were made using minichambers of three different types: (1) cooler (PVC frames covered with shade cloth), (2) control (PVC frames only), and (3) warmer (PVC frames covered with plastic). One of the article's authors kindly supplied the accompanying data on the difference between air and soil temperatures (°C). Cooler 1.59 1.43 1.88 1.26 1.91 1.86 1.90 1.57 1.79 1.72 2.41 2.34 0.94 1.34 1.76 Control 1.92 2.00 2.19 1.12 1.78 1.84 2.45 2.03 1.52 0.49 1.90 Warmer 2.57 2.60 1.93 1.58 2.30 0.84 2.65 0.15 2.74 2.53 2.13 2.86 2.31 1.91 (a) Compare measures of center for the three different samples. Cooler X = 1.76 Control X = 1.90 Warmer X = 2.305 (b) Calculate the standard deviations for the three different samples. (Round your answers to three decimal places.) Cooler S = 0.395 Control S = 0.522 Warmer S = 0.772 X x Interpret and compare the standard deviations for the three different samples.A certain type of battery supercharger was found to take a mean of 12.3 minutes to charge a standard electric vehicle (EV) battery. A firmware update for this type of supercharger was recently released, but the update has received negative reviews from users. A researcher suspects the mean time the updated superchargers take to charge a standard EV battery is greater than 12.3 minutes. To test his claim, he chooses 21 of the updated superchargers at random and measures the time it takes each one to charge a standard EV battery. He finds that the superchargers take a sample mean of 12.9 minutes to charge a standard EV battery, with a sample standard deviation of 1.3 minutes. Assume that the population of amounts of time to charge a standard EV battery using the updated superchargers is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that u, the mean time…