The length of adult male dolphins is normally distributed with anunknown mean H. By some previous knowledge, the populationstandard deviation, is considered as known and is given by o =: 1m.We took a sample of n = 16 adult male dolphins, finding the samplemean x = 7.3 meters.(a)(i)What is the distribution of the proper test statistic for doinginference for the population mean µ?O(No answer given)O(1) Binomial distributionO (2) Normal distributionO (3) Student's distributionO (4) Poisson distribution.

Here length of adult male dolphins are normally distributed Here population standard deviation is…

Answered: (a)(i)What is the distribution of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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To calculate a z-score to compare against a critical value in the single sample z test, we divide the observed mean differences(sample mean-population mean) by what value?
A coffee-dispensing machine is supposed to deliver 8 ounces of liquid into each paper cup, but a consumer believes that the actual mean amount is less. The consumer obtained a sample of 49 cups of the dispensed liquid with average of 7.75 ounces. If the sample variance of the dispensed liquid delivered per cup is 0.81 ounces, and α=0.05, the appropriate decision is ________. Question 6Select one: a. reject the 8-ounces claim b. reduce the sample size c. increase the sample size d. fail to reject the 8-ounces claim
Q1. (a) The data shown in Table 1 are the average petrol consumption of sedan cars in kilometre per litre (KPL), rounded to one decimal place. A01 B23 С45 D67 E89 18.2 18.2 18.2 20.4 18.2 14.9 14.9 14.9 16.1 14.9 17.2 17.2 17.2 15.9 17.2 14.3 14.3 14.3 20.3 14.3 10.5 10.5 10.5 18.2 10.5 17.2 17.2 17.2 15.9 17.2 17.5 17.5 13.5 17.2 9.5 15.8 9.5 14.3 14.3 15.4 15.9 13.5 9.5 12.7 15.6 11.6 13.3 11.6 13.4 11.6 18.5 13.3 20.8 13.3 21.3 11.9 10.8 18.5 14.7 11.9 16.1 14.5 11.9 11.8 18.9 14.5 11.9 12.3 10.5 13.9 18.9 17.5 15.8 18.9 18.2 15.6 11.6 10.8 14.9 13.3 18.2 14.5 13.3 15.8 10.8 Table 1. Answer the following questions using the corresponding data sets A01, B23, C45, D67 and E89 that consist of the last digit of your Student ID card. For example, a student ID of 1907174 will use data set C45 while a student ID of 2201910 will use data set A01.
(i) Determine if the hypothesis test is one tailed or two tailed. (ii) Find the critical value. Round the answer to at least two decimal places. (iii) Compute the test value. Round the standard deviations and F-score values to two decimal places as needed. (iv) Make the decision and summarize the results.
Test the significance at 0.05 level of the computed values of correlation r= 0.65 with a sample size of 10
What would be the appropriate inferential statistic to evaluate the relationship between: • 'Generation' [Baby Boom (1946-1964), Generation X (1965-1980), Millennials (1981-1996)] • 'Household Income' (in US $) median and interquartile range means comparison (t or ANOVA) correlation coefficient (r) chi-square (x2) mean and standard deviation frequency and percentage
mean of the process is the estimate developed in part (a). Twenty-five samples of 100 items each were inspected when a process was considered to be operating satisfactorily. In the 25 samples, a total of 135 items were found to be defective. What is an estimate of the proportion defective when the process is in control? b. a. What is the standard error of the proportion if samples of size 100 will be used for statistical process control? Compute the upper and lower control limits for the control chart. C.
You may need to use the appropriate appendix table or technology to answer this question. The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 20 n, = 30 X1 = 22.7 X2 = 20.1 s, = 2.3 2 = 4.6 (a) What is the point estimate of the difference between the two population means? (Use x, - x,.) 2.72 (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) 48 (c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) 1.9 (d) What is the 95% confidence interval for the difference between the two population means? (Use x, - Round your answers to one decimal place.) .6 to 4.4
We prefer the procedures to the z procedures for inference about a population mean beca (a) can be used only for large samples. (b) z requires that you know the population standard deviation (c) z requires that you can regard your data as an SRS from the population of interest. (d) z requires that your population be Normally distributed. (e) z requires that your observations be independent.
A traffic safety company publishes reports about motorcycle fatalities and helmet use. In the first accompanying data table, the distribution shows the proportion of fatalities by location of injury for motorcycle accidents. The second data table shows the location of injury and fatalities for 2073 riders not wearing a helmet. Complete parts (a) and (b) below. (a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use α = 0.10 level of significance. What are the null and alternative hypotheses? A. Ho: The distribution of fatal injuries for riders not wearing a helmet follows the same distribution for all other riders. H₁: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. B. Ho: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. H₁: The distribution of fatal injuries for…
A researcher wants to measure average cardiovascular health of university students and compare those scores to the average scores in the general population. Assuming that population variance is known, what statistical test is most appropriate for this study? independent-samples t-test single-sample t-test z-test for sample mean related-samples t-test

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(a)(i)What is the distribution of the proper test statistic for doing inference for the population mean µ?