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- express the null hypotehsis and the alternative hypothesis in symbolic form. the manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to mantain a true mean temperature, u, of 43 F, ideal ofr a certain type of German pilsner. the owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrectExpress the null hypothesis and the alternative hypothesis in symbolic form. Use the correctsymbol (µ, p, Η) for the indicated parameter. The manufacturer of a refrigerator system for beer kegsproduces refrigerators that are supposed to maintain a true mean temperature, µ, of 48° F, ideal fora certain type of German pilsner. The owner of the brewery does not agree with the refrigeratormanufacturer, and claims he can prove that the true mean temperature is incorrect.The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b)Find the standard deviation of p. (c)Compute an approximation for P≥p0.0125, which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
- A research worker wants to determine the mean time it takes a mechanic to rotate the tires ofa car, and she wants to be able to assert with 95% confidence that the average of her sample isoff by at most 0.50 minutes. If she can presume from past experience that σ2 = 2:56 minutes,how large a sample will she have to take?An investment company advertised that last year its clients, on average, made a profit of 7%. Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last year, the number of their clients who made a profit of more than 7% was equal to the number of their clients who made a profit of less than 7% . Last year all of their clients made a profit of 7% or more. Two years ago some of their clients made a profit of at least 7% . Last year at least one of their clients made a profit of exactly 7% . Last year at least one of their clients made a profit of less than 12% . None of the above statements are true.The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where pis the proportion of defective light bulbs in a sample of 4400when there is no malfunction. (b)Find the standard deviation of p . (c)Compute an approximation for P≥p0.0125 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
- Dave is driving on an American Interstate highway which has a speed limit of 55 mph. At 2 pm he is at milepost 110 and at 5 pm he is at milepost 290. Is this enough evidence to prove that Dave was speeding? Prove using the Mean Value Theorem.Classify the following statements as to whether they belong to the area ofdescriptive statistics or inferential statistics___________________ 1. At most 5% of SLU students are smokers.___________________ 2. Assuming that less than 20% of the Kalinga coffee beans weredestroyed by a typhoon these past months, we should expect anincrease of no more than P30 for a kilogram of coffee by the endof the year. ___________________ 3. An employee generalized that the average monthly salary of a regular employee in a certain company is P12,000. ___________________ 4. A study found out that all customers who have received a giftcertificate from a store 75% went back to the store to shop.___________________ 5. The average grade in statistics of 50 students is 83.60.The mean weight of male nurses working at a local hospital is less than 178 lbs. Express the null and alternative hypotheses in symbolic form for this claim.H0:μH0:μ =Ha:μHa:μ=
- An investment company advertised that last year its clients, on average, made a profit of 7% . Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last year fewer than half of their clients made a profit of 7% or less. Last year at least one of their clients made a profit of 7% or more. Last year at least one of their clients made a profit of exactly 7% . Last year some of their clients made a profit of more than 3% . This year some of their clients will make a profit of at least 7% . None of the above statements are true.Consider that the relation between the cost of production, the lot of size production and the number of labours if for a particular point the slop is change to another point where Xp=26 for X1, Xp=22 for X2, find the ANOVA table when the tabulated test is (1.93). Y: 10 , 20, 30, 40, 50 ,60 ,70 ,80, 90 ,100 X1: 5, 10, 15 ,20 ,25 ,30 ,35, 40 ,45 ,50 X2: 4 ,8, 12 ,16 ,20, 24 ,28 ,32, 36 ,40An investment company advertised that last year its clients, on average, made a profit of 9% . Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last year more than half of their clients made a profit of at least 9% . Last year at least one of their clients made a profit of exactly 9% . Last year at least one of their clients made a profit of 9% or more. Two years ago some of their clients made a profit of at least 9% . Last year all of their clients made a profit of less than 16% . None of the above statements is true.
