Problem #2: An apple grower selects a random sample of 31 apples from this year's crop. The mean and standard deviation ofweights of these apples are calculated to be 155 grams and 12 grams, respectively. Weights of apples are known tofollow a normal distribution with standard deviation 21 grams. The apple grower suspects that the true meanweight of apples from this year's crop is different from that of last year's crop, when the true mean weight was 142grams. Suppose we wish to test the apple grower's suspicion using a hypothesis test at the 1% level ofsignificance.(a) What is the appropriate rejection region?(b) What is the value of the test statistic?Problem #2(b):(A) {|z> 2.575) (B) {z > 2.33) (C) (z 2.575) (D) {z 2.33) (E) {z < -2.33} (F) {z < -2.575}Problem #2(a): Select Part (a) choices.answer correct to 2 decimals

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Answered: Problem #2: An apple grower selects a…

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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#2) A large warehouse installed a security system a few years ago. Under an older system the managers estimated that they were losing an average of $678 worth of goods to thieves each week. A random sample of 36 weekly records under the current system showed that they were still losing an average of $650 worth of goods each week. The sample standard deviation was s = $93. Does this indicate that the average loss is different (either more or less) than the previous $678 per week? Use a 5% level of significance.
Problem 1 and Problem 2
Example 4: The average cholesterol level for a random sample of 25 adult women is 263 units with a standard deviation of 43 units. From previous study, it is known that the population is normally distributed with a standard deviation of 40 units. Find a 90% C.I for the mean cholesterol level for all adult women in the population.
QUESTION 6 The Corner Drug Store fills prescriptions for a popular children's antibiotic, amoxicillin. The daily demand for amoxicillin is normally distributed, with a mean of 200 kilograms and a standard deviation of 80 kilograms. The vendor for the pharmaceutical firm that supplies the drug calls the drugstore pharmacist every 30 days to check the inventory of amoxicillin. During a call, the druggist indicated that the store had 60 kilograms of the antibiotic in stock. The lead time to receive an order is 4 days. a) Determine the order size that will enable the drugstore to maintain a 95% service level.
Problem 26. Boxes of Instant Dinner have a marked weight of 12.2 oz. In reality, the weights of the boxes are normally distributed with a mean of 12.8 oz and a standard deviation of 0.3 oz. Use the 68-95-99.7 Rule to determine the percent of the boxes that contain more than 12.2 oz.
A product is designed to have length of 14cm+/0.12cm. the output of the manufacturing process is identified to be centered at 14.0.042cm and the standard deviation is estimated at 0.014cm. determine the capability of the system Cp
There are many situations in which we want to compare means from populations having standard deviations that are equal. This method applies even if the standard deviations are known to be only approximately equal. Consider a report regarding average incidence of fox rabies in two regions. For region I, n1 = 16, x1 ≈ 4.73, and s1 = 2.84 and for region II, n2 = 15, x2 ≈ 3.93, and s2 = 2.45. The two sample standard deviations are sufficiently close that we can assume ?1 = ?2. Use the method of pooled standard deviation to consider the report, testing if there is a difference in population mean average incidence of rabies at the 5% level of significance. (Round your answer to three decimal places.) t =
Question 2 (a) A HR manager would like to survey the salary of the junior accountant in Malaysia to analyse the market trend. He found that it is normally distributed with a population mean of RM 2900 and a population standard deviation of RM 250. One day, he selects a random sample of the salaries of 30 junior accountants. (i) What is the probability that the sample mean salary will be between RM 2800 and RM 3000? What is the probability that the sample mean salary will be below RM 2850? (ii) (iii) The probability is 99% that the sample mean salary of the junior accountant will be between which two values (symmetrically distributed around the mean)? (iv) Do you think he will be likely to get the sample mean salary more than RM 3200? Justify your answer with probability.
Solve question 9, Part A, Part B and Part C only.
A rugby team from the country of Atlantis is formed by randomly drawing from its population. The population distribution is normally distributed with a mean of 165 cm and a standard deviation of 10 cm. The team draws 26 people for the team. Given a population mean of 165cm, how many standard deviations would a sample mean of 163cm be from the true value? Give your answer rounded to two decimal places.
PROBLEM 1: According to the Commission on Higher Education, College professors work for an average of 43 hours per week during a semester. A dean of Universify X surveys 25 randomly selected professors and found out that they work for an average of 45 hours a week with a standard deviation of 7 hours. Test if the mean number of professors' work hours worked recorded by the dean of University X differs from the recorded national average. Use a = 0.01 Formulate the hypothesis 1. Ho: 2. HA: 3. Given: 5. Solve for t: S = n = a = 4. Test statistics: 7. d. f. = 8. Solve the critical value (te) 6. t = 10. 9. Te
his question refers to excavations at a national monument. One question the archaeologists asked was: Is raw material used by prehistoric Indians for stone tool manufacture independent of the archaeological excavation site? Two different excavation sites gave the information in the following table. Use a chi-square test with 5% level of significance to test the claim that raw material used for construction of stone tools and excavation site are independent. Excavation Site Material Site A Site B Row Total Basalt 756 559 1315 Obsidian 92 103 195 Pedernal chert 514 521 1035 Other 88 91 179 Column Total 1450 1274 2724 (a) What is the level of significance? (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

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