calculations wrong‚ if a random sample of 36 customer transactions gives a mean sample of $160? State your null and alternative hypotheses. 4. A random sample is obtained from a population with variance ‚ and the sample mean is computed. Test the null hypothesis versus the alternative hypothesis with . compute the critical value ̅ and state your decision rule for the following options: a) Sample size b) Sample size c) Sample size d) Sample size 5. A random sample of is obtained from a population
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ones. Therefore they did a test with 40 samples of both new balls and old ones. The testing was performed with a mechanical hitting machine so that any difference between the mean distances for the two models could be measure to evaluate the difference in the two models‚ presented with the sample size of 40 and confidence level of 95%. The table below depicts a descriptive statistical summary for the case study. | Current Model | New Model | Sample Mean | 268.89 | 272.98 | Standard Error
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while still being able to include the full six year history. The team will take six years’ worth of beverage sales data‚ 2‚191 data points‚ from the flagship restaurant‚ satisfying the minimum sample size requirement of 385 using a 95% confidence level with a 5% margin of error (see Appendix 1.0‚ Sample Size Calculation). This data will then be matched with the publically accessible temperature highs by applicable region available from United States National Weather Service. This data will be stored
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$52 with a standard deviation of $4.50. A group of smart statistics students thinks that the average cost is higher. In order to test the bookstore’s claim against their alternative‚ the students will select a random sample of size 100. Assume that the mean from their random sample is $52.80. Perform a hypothesis test (6 step procedure outlined in class) at the 5% level of significance and state your decision. 2. A certain chemical pollutant in the Genesee River has been constant for several years
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6 and z = 2.6. First we look for the area of both by doing “2nd ‚Vars‚ NORMALCDF” and inputting “-1000‚ “Z‚” 0‚ 1 then find the difference between both. 2. A business wants to estimate the true mean annual income of its customers. It randomly samples 220 of its customers. The mean annual income was $61‚400 with a standard deviation of $2‚200. Find a 95% confidence interval for the true mean annual income of the business’ customers. First we find E by doing Zc(standard deviation/square root of
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3‚000/5 = 600 Solution 2: The variance for x is 5‚000‚000 The variance for y is 5‚050‚000 Solution 3: The Standard deviation is found by squaring the result of the variance: SD of x = 2236‚ this tells us on average how far is from sample mean. SD of y = 2247 Solution 4: The coefficient of variation is as follows: The coefficient of variation for x is: 0.000447. The coefficient of variation for y is: 0.000445. Solution 5: On the argument that the SD of the first is greater
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No Yes Improvements in any process start Statistical process control‚ which is the random testing of a sample of output from the process to determine whether the process is producing items within a preselected range (Chase‚ Jacobs‚ & Aquilano‚ 2006). These samples may be either fit or unfit for example taking random samples from a batch of newly made Motorola I Pad. Testing may discover that some will work accordingly whereas other will not power on. Companies
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(you can check this value in Uma Sekaran’s book‚ page 433 in fourth edition of the book. Such normal distribution table is generally given at the end of the most of the intermediate level statistics books). This implies that the probability that the sample mean is two standard deviation away from true mean value is about 0.046. 2. Correlation between two datasets. Let {xi}i and {yi}i be two datasets each having n elements. Pearson’s correlation coefficient‚r‚ is given by the following formula:
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random sample of 40 bricks from a day’s output had a mean weight of 4.07lb. (i) Find a 99% confidence interval for the mean weight of all bricks produced on that day. (ii) Estimate the smallest sample size required if the error in estimating the population mean weight of all bricks is to be within 0.03lb with 95% confidence. 2. A house cleaning service claims that they can clean a four bedroom house in less than 2 hours. A sample of n = 16 houses is taken and the sample mean is
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from the health system (Makowski‚ Anna Christin and Christopher Kofahl 2014). The study took the sample in Hamburg by interviewing the Turkish people‚ face to face. The sample is almost evenly distributed by gender and the people have been chosen in two ways. The first method was by the doctor’s offices and the second one by word of mouth. The research stated that in this way they took a more random sample. The final number from 294 possible candidates‚ 108 participants were part of the program. The
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