6. a lower value of the standard deviation for a data set indicates that the values of that data set are spread over a relatively smaller range around the mean O True O False
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- Assume that the population consists of only these eleven data points for y and z. Construct one sample for y and one another sample for z by using 5 data points which gives the maximum variance.Based on these data, can the consumer group conclude, at the 0.05 level of significance, that the mean tread wear of Brand 2 exceeds that of Brand 1? Answer this question by performing a hypothesis test regarding μd (which is μ with a letter "d" subscript), the population mean difference in tread wear for the two brands of tires. Assume that this population of differences (Brand 1 minus Brand 2) is normally distributed.Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified. (If necessary, consult a list of formulas.) A. Find the value of the test statistic. (Round to three or more decimal places.) B. Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) C. At the 0.05 level, can the consumer group conclude that mean tread wear of Brand 2 exceeds that of Brand 1?Based on these data, can the consumer group conclude, at the 0.05 level of significance, that the mean tread wear of Brand 2 exceeds that of Brand 1? Answer this question by performing a hypothesis test regarding μd (which is μ with a letter "d" subscript), the population mean difference in tread wear for the two brands of tires. Assume that this population of differences (Brand 1 minus Brand 2) is normally distributed.Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified. (If necessary, consult a list of formulas.) A. Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)
- The management of a supermarket wants to adopt a new promotional policy of giving free gift to every customer who spends more than a certain amount per visit at this supermarket. The expectation of the management is that after this promotional policy is advertised, the expenditure for all customers at this supermarket will be normally distributed with mean 400 £ and a variance of 900 £2. 2) In a sample of 250, find the count that corresponds to the interquartile range. 3) Based on your answer in and without any calculation, if the mean changed to be 500 £, would the probability be the same?compute for the mean, variance and standard deviation.4. A company has five applicants for two positions: two women and three men. Suppose that the fiveapplicants are equally qualified, and that no preference is given for choosing either gender. Let X equal thenumber of women chosen to fill the two positions.Suppose, you work with the Quality Assurance Team of a Biscuit Company, and a customer complains that the mean weight of the biscuit packet you are selling is less than 250 gm when you have claimed it to be of weight 250 gm in the packet. To test the customer's claim, you sampled 25 biscuit packets and measured their weights. Let be the hypothesized mean weight of a biscuit packet that your company claims, and the null and alternative hypotheses have been formulated as: At a 5% level of significance (), what will be the conclusion from a one-sample t-test (assuming that all the assumptions of the test are satisfied) if you obtain a p-value of 0.023?
- Assume that the population consists of only these eleven data points for y and z. Construct one sample for y and one another sample for z by using 5 data points which gives the maximum variance. How can i do that. Thank you8.22 In many situations in which the difference in variances is not too great, the results from the AOV comparisons of the population means of the transformed data are very similar to the results that would have been obtained using the original data. In these situations, the researcher is inclined to ignore the transformations because the scale of the transformed data is not relevant to the researcher. Thus, confidence intervals constructed for the means using the transformed data may not be very relevant. One possible remedy for this problem is to construct confidence intervals using the transformed data and then perform an inverse transformation of the endpoints of the intervals. Then we would obtain a confidence interval with values having the same units of measurement as the original data. Subject A1 A2 A3 1 3.0 1.8 1.3 2 1.2 6.3 12.6 3 1.0 5.2 10.0 4 0.7 3.7 10.5 5 1.1 5.4 10.8 6 0.6 2.9 5.9 7 1.2 6.0 12.1 8 0.1 0.3 0.6 9 0.7 3.6 18.6 10 1.9 9.3 18.7 11…Suppose that the average waiting time for a patient at a physician's office is just over 29 minutes. In order to address the issue of long patient wait times, some physicians' offices are using wait-tracking systems to notify patients of expected wait times. Patients can adjust their arrival times based on this information and spend less time in waiting rooms. The following data show wait times (in minutes) for a sample of patients at offices that do not have a wait-tracking system and wait times for a sample of patients at offices with a wait-tracking system. Without Wait-Tracking System With Wait-Tracking System25 3365 916 1522 1835 1046 3212 927 312 1232 17
- Suppose that 90% of Narnians are children, that Narnian children have normally distributed BMIs with a mean of 25 kg/m^2 and variance of 64 (kg/m^2)^2 , and that Narnian adults have normally distributed BMIs with a mean of 30 kg/m^2 and variance of 100 (kg/m^2)^2 . WHO currently categorizes BMIs greater than 30 as obese. a. What is the prevalence of obesity among Narnian children? b. What is the prevalence of obesity among Narnian adults? c. What is the overall prevalence of obesity among Narnians? d. Are age and obesity statistically independent in Narnia? e. What proportion of Narnians are obese children? f. What proportion of obese Narnians are children?In one state, the mean time served in prison by convicted burglars is 18.7 months. A researcher would like to perform a hypothesis test to determine whether the mean amount of time served by convicted burglars is her hometown is different from 18.7 months. She takes a random sample of 11 such cases from court files in her hometown and finds that x = 21.4 months and s = 7 months. Use a 5% significance level to perform the test. Assume normally distributed population.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?