A machine produces screws with a mean length of 2.5 cm and a standard deviation of 0.2 cm. Find the probabilities that a screw produced by this machine has lengths as follows.(a) Greater than 2.7 cm(b) Within 1.2 standard deviations of the mean
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A machine produces screws with a
(a) Greater than 2.7 cm
(b) Within 1.2 standard deviations of the mean
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- A manufacturer claims that the calling range (in feet) of its 900-MHz cordless telephone is greater than that of its leading competitor. A sample of 15 phones from the manufacturer had a mean range of 1280 feet with a standard deviation of 21 feet. A sample of 10 similar phones from its competitor had a mean range of 1230 feet with a standard deviation of 40 feet. Do the results support the manufacturer's claim? Let μ₁ be the true mean range of the manufacturer's cordless telephone and μ₂ be the true mean range of the competitor's cordless telephone. Use a significance level of a = 0.01 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 2 of 4: Compute the value of the t test statistic. Round your answer to three decimal places.Suppose that a machine has been calibrated so that the amount the material dispensed deviates from its specified target is normally distributed with a mean of 0 grams and a standard deviation of 1 gram. A single amount of material is dispensed. Let Z represent the amount the material dispensed deviates from it specified target. What amount of deviation represent the highest 3.59%? That is, if P(z > c) = 0.0359, find c. Round your answer to 2 decimals. c = grams. Add WorkSuppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2900 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 505 grams. If a 32-week gestation period baby weighs 2575 grams and a 41-week gestation period baby weighs 2775 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively less? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. The baby born in week 32 weighs relatively less since its z-score, smaller than the z-score of for the baby born in week 41. OB. The baby born in week 32 weighs relatively less since its z-score, larger than the z-score of for the baby born in week 41. OC. The baby born in week 41 weighs relatively less since its z-score, larger than the…
- Please assist with this probability question for discrete mathematics.Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 2700 grams and a standard deviation of 340 grams. If a 34-week gestation period baby weighs 2275 grams and a 40-week gestation period baby weighs 2475 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?The brain volumes (cm3) of 20 brains have a mean of 1138.1 cm3 and a standard deviation of 120.4 cm3. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are signigicantly low or significantly high. For such data, would a brain volume of 1388.9 cm3 be significantly high?
- Lori Jeffrey is a successful sales representative for a major publisher of college textbooks. Historically, Lori obtains a book adoption on 36% of her sales calls. Viewing her sales calls for one month as a sample of all possible sales calls, assume that a statistical analysis of the data yields a standard error of the proportion of 0.08. (a) How large was the sample used in this analysis? That is, how many sales calls did Lori make during the month? (c) Using the sampling distribution of p, compute the probability that Lori will obtain book adoptions on 46% or more of her sales calls during a one-month period. (Round your answer to four decimal places.)To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2600 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 2800 grams and a standard deviation of 390 grams. If a 32-week gestation period baby weighs 2150 grams and a 40-week gestation period baby weighs 2350 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?
- Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of O°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. If 1.7% of the thermometers are rejected because they have readings that are too high and another 1.7% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others. interval of acceptable thermometer readings = ɔ.3.2/2The brain volumes (cm 3) of brains have a mean of 1164.7 cm3 and a standard deviation of 127.3 use the given standard deviation and the tang rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of 1369.3 cm 3 be significantly high? significantly low values are
