A sample consisting of the values 20.87, 13.74, 5.24, 2.76, 4.73, 2.66 is known to come from a population with the following density function. (image) Find the maximum likelihood estimate of ?.
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A sample consisting of the values 20.87, 13.74, 5.24, 2.76, 4.73, 2.66 is known to come from a population with the following density
Find the maximum likelihood estimate of ?.
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- An employment information service claims the mean annual salary for senior level product engineers is $97,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At α=0.10, test the claim that the mean salary is $97,000. Complete parts (a) through (e) below. Assume the population is normally distributed. Annual Salaries 100 ,637 96 ,395 93 ,509 112 ,609 82 ,472 74 ,162 76 ,989 80 ,977 102 ,467 76 ,251 103 ,944 104 ,042 91 ,135 82 ,152 85 ,096 110 ,269 Part 1 (a) Identify the claim and state H0 and Ha. (Type integers or decimals.) Part 2 (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are t0= (c) Find the standardized test statistic, t. The standardized test…Find the F-test statistic to test the claim that the variances of the two populations are equal. Both distributions are normal. The populations are independent. The standard deviation of the first sample is 6.5752 7.3865 is the standard deviation of the second sample.A company wants to determine whether it's consumer product ratings (0-10) have changed from last year to this year. The table below shows the company's product ratings from 8 consumers for last year and this year. At a=0.05, is there enough evidence to conclude that the ratings have changed? Assume the samples are random and dependent, and the population is normally distributed. Complete parts A-F.
- The cross-tabulation data given below represent the number of males and females in a work group who feel overstressed and those who don't. Complete parts a through d below. Overstressed? Female Male No Yes 10 6 5 11 a. Write the hypotheses for the chi-square test for independence. Ho gender and overstress are independent H₁ gender and overstress are dependent b. Find the expected frequencies. Overstressed? Female Male Grand Total No 7.5 7.5 15 Yes 8.5 8.5 17 Grand Total 16 16 32 (Type integers or decimals rounded to two decimal places as needed.) c. Compute the chi-square statistic 3.14 (Type an integer or decimal rounded to two decimal places as needed.) d. Find the chi-square critical value and p-value and draw a conclusion using a level of significance of 0.05. Find the chi-square critical value (Round to three decimal places as needed.) adDetermine the rejection region for a hypothesis test for the population mean using the give information. Assume that the population standard deviation is unknown, the sample size is small, and the population distribution is approximately normal. Write your answer in a format exactly as in the following examples, "t <= -2.203", or "t >= 1.706", or "|t| >= 1.305". Do not forget the SPACE after t and the SPACE before the number. Also make sure to enter the digit 0 before the decimal point. ?=0.90,??=18 two-tailed test Reject H0 ifA random sample of size 10 yielded roughly "mound-shaped" data with a sample mean of 63.5 and a sample variance of 60.8. Let (L, OU) be the interval estimate that contains the population mean with 95% probability. Find the width of the interval. That is, find 0 – 0₁. 4.52 5.49 5.58 5.70 9.04 10.99 11.16 11.40 none of the other answers give the correct width
