The proprietor of a greenhouse claims that its pots of lilies average 6.0 buds, with s = 0.4 buds. If n = 29 pots of lilies from a large no of pots of lilies has a mean of 5.8 buds, does this deny the proprietor’s claim of the mean number of buds at 0.015 level of significance?
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- The proprietor of a greenhouse claims that its pots of lilies average 6.0 buds, with s = 0.4 buds. If n = 29 pots of lilies from a large no of pots of lilies has a
mean of 5.8 buds, does this deny the proprietor’s claim of the mean number of buds at 0.015 level of significance?
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- A study from 2014 found that adults in the US spend an average of 11 hours per day watching, reading, listening to or simply interacting with media. Researchers at UCLA suspect students spend less time engaging media. They grouped UCLA students by class section, randomly selected 20 class sections, and administered a survey to each student in those randomly selected class sections. The following data represents the mean time (in hours) per day spent engaging media for each of the randomly selected classes: 9.5 11.5 6.0 7.5 8 9.5 10.5 11 12 8.2 5 9.5 8.2 9.3 10.8 11 13 8.6 9.5 10.5 What would be the 99% Confidence Interval for mean time (in hours) spent per day engaging media for UCLA students. Do this "by hand", using appripriate symbols/formulas/tables.In a large city, researchers selected a random sample of 120 individuals who have multiple televisions in their house connected to a streaming device. Each individual was asked how many hours of streaming content they watch in a typical week. The sample had a mean of 12.5 hours. For which of the following populations is 12.5 hours a reasonable estimate of the mean hours of weekly streaming content watched? (A) All individuals who regularly watch streaming content (B) All individuals from this city who regularly watch streaming content (C) All individuals from this city with multiple streaming devices in their house (D) All individuals from this city with multiple streaming devices in their house who regularly watch streaming content (E) All 120 individuals in this city with multiple streaming devices in their home who regularly watch streaming contentA purchasing manager for a large university is investigating which brand of LCD projector to purchase to equip their classrooms. Of major concern is the longevity of the light bulbs used in the projectors. The purchasing manager has narrowed down the choice of projector to two brands, Infocus and Proxima, and wishes to determine if there is any difference between the two brands in the mean lifetime of the bulbs used. The purchasing manager obtained eight projectors of each brand for testing over the last several academic terms. The number of hours the bulbs lasted on each of the eight projectors is given in the table. Lifetimes of light bulbs (hours) Infocus 745, 955, 1085, 756, 901, 839, 858, 931 Proxima 1012, 988, 957, 920, 878, 1130, 657, 743 Send data to calculator Assume that the two populations of lifetimes are normally distributed and that the population variances are equal. Can we conclude, at the 0.01 level of significance, that u, the mean lifetime of light bulbs in Infocus…
- Water samples are taken from water used for cooling as it is being discharged from a power plant into a river. It has been determined that as long as the mean temperature of the discharged water is at most 150°F, there will be no negative effects on the river's ecosystem. To investigate whether the plant is in compliance with regulations that prohibit a mean discharge water temperature above 150°, 50 water samples will be taken at randomly selected times and the temperature of each sample recorded. The resulting data will be used to test the hypotheses Ho: μ = 150° versus H₂: μ > 150°. In the context of this situation, describe type I error. a A type I error occurs when our estimate for the mean discharge temperature is higher than the actual temperature. A type I error occurs when we say that the plant is not in compliance when in fact it is. A type I error occurs when our estimate for the mean discharge temperature is lower than the actual temperature. A type I error occurs when we…. A process that cuts lengths of metal with high precision has historically produced metal rods with length that is normally distributed and with a mean of 800 millimetres (mm). Management at the factory is concerned that after an overhaul of the machine the mean length of the rods being produced could differ from the required 800 mm. If it is found that the rods are not being produced to specifications then the machine will have to be stopped for readjustment, with a consequent loss of production. The production line manager tasked with investigating the issue finds that a (random) sample of 25 rods yielded a mean length of 806 mm and a sample standard deviation of 10 mm. i. The mean of the sample is clearly not the required 800 mm. Say why this is not enough information in itself to say if the machine is operating correctly or not. ii. State the null and alternative hypotheses for this situation.Prices of basic commodities are often greatly affected by typhoons. During the aftermath of recent typhoon, the prices of tilapia were reported to have been sold at ₱20 – ₱25 more per kilogram at local wet markets. However, the price was back to its normal mean price at ₱100 per kilo one week after. If a random sample of 10 tilapia sales transactions from local wet markets have prices (in pesos per kilo) of 107, 115, 130, 95, 100, 105, 98, 116, 104, 100. Assuming that the tilapia prices are normally distributed, is there sufficient evidence to say that the mean price of tilapia in these markets is greater than ₱100? Use a 0.05 level of significance. State the null and alternative hypotheses: Ho: ________ (symbols) Ho: _______________________________ (statement) Ha: _________ (symbols) Ha: _______________________________ (statement)
- 6. In December 2001, 38% of adults with children under the age of 18 reported that their family ate dinner together 7 nights a week. In a recent poll, 403 out of 1122 randomly selected adults with children under the age of 18 reported that their family ate dinner together 7 nights a week. Has the proportion of families with children under the age of 18 who eat dinner together 7 nights a week decreased? Use a 0.05 level of significance.Consider two sets of data, X and Y, with n = 10 observations each. If the mean ranks for X and Y are 6 and 5, respectively, what is the test statistic for the Wilcoxon Signed-Ranks test on these two sets of data?2. A principal of high school was concerned with amount of time her students devote to working at after-school jobs. She randomly selected 25 students, obtained their working hours for 1 week and computed x = 12.5 hours and s = 4.5 hours. She claims that her students work significantly more than the mean of 10.7 hours from a study conducted by the National Association of State High School Association. Test her claim by using the 5% level of significance.
- A study from 2014 found that adults in the US spend an average of 11 hours per day watching, reading, listening to or simply interacting with media. Researchers at UCLA suspect students spend less time engaging media. They grouped UCLA students by class section, randomly selected 20 class sections, and administered a survey to each student in those randomly selected class sections. The following data represents the mean time (in hours) per day spent engaging media for each of the randomly selected classes: 9.5 11.5 6.0 7.5 8 9.5 10.5 11 12 8.2 5 9.5 8.2 9.3 10.8 11 13 8.6 9.5 10.5 What would be the calculator steps to find standard deviaton, rounded to 3 decimal places?In January 2013, a poll by ABC News indicated that Obama's popularity had reached a three-year high. Suppose the relative frequency of occurrence of each response, grouped by sex, is given in the following table. Rating Excellent Very Good Good Fair Poor Answer: Women Men Relative Relative Frequency Frequency 0.184 ≈ 0.23 unknown 0.25 unknown unknown 0.225 unknown ≈ 0.167 0.103 Assume • the proportion of men's responses rated as either Very Good or Good is 0.488, • the proportion of women's responses rated as either Good or Fair is .353, • the proportion of men's responses rated as Good is≈ 93.6% larger than the proportion of women's responses the same (relative to the women's one), and • the proportion of men's responses rated as Very Good is 14.58% larger than the proportion of women's responses rated as Fair (relative to the women's one.) What proportion of women's responses is rated as Good? (Type your final answer in decimal form (rounded to the nearest hundredth), like 0.36. DO…Monthly salary computations from two different companies yielded the following data: n1 = 7, x1=9,120$, s1=384$; n2 = 7, x2=8,820$, s2=214$. At the level of significance 0.05, can we conclude that the mean monthly salary from the two ompanies is not the same?
