The Precision Scientific Instrument Company manufactures thermometers that are supposed to givereadings of 0°C at the freezing point of water. Tests on a large sample of these thermometers revealthat at the freezing point of water, some give readings below 0°C (denoted by negative numbers) andsome give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°Cand the standard deviation of the readings is 1.00°C Also assume that the frequency distribution oferrors closely resembles the normal distribution. A thermometer is randomly selected and tested. Findthe temperature reading corresponding to the given information.Note: For parts A and B, enter only a number, positive or negative, rounded to two decimal places asneeded. Do not enter the degree symbol nor the celsius symbol C. Do not enter any spaces.O(Part A) 9.1% of the thermometers are rejected because they have readings that are too low. Whichreading separates these rejected thermometers from the others?A reading of°℃(Part B) 9.1% of the thermometers are rejected because they have readings that are too high. Whichreading separates these rejected thermometers from the others?A reading ofQuestion 16°℃QWERTYUASDFGHThe volumes of soda in quart soda bottles are normally distributed with a mearstandard deviation of 1.2 oz. What is the probability that the volume of soda ir 123bottle will be less than 32 oz?ZXCIV BẢNspaceAVIO| BI UNote: When entering your answer, enter the propupinity us a percentage ivuniueu to 2 decimal places us2ܒܢ

given data normal distributionμ = 0σ = 1so the distribution is standard normal distributionZ~N(0,1)

Answered: The Precision Scientific Instrument…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The precision scientific instrument company manufactures thermometers that are supposed to give readings of 0 degrees celsius at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0 degrees Celsius (denoted by negative numbers) and some give readings above 0 degrees celsius (denoted by positive numbers). Assume that the mean reading is 0 degrees celsius and the standard deviation of the readings is 1.00 degrees celsius. Also, assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information QUESTION: If 9% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the temperature that separates the rejected thermometers from the others.
The weights of an adult female population of killer whales are approximately normally distributed with a mean of 18,000 pounds and a standard deviation of 4,000 pounds. The weights of an adult male population of killer whales are approximately normally distributed with a mean of 30,000 pounds and a standard deviation of 6,000 pounds. A certain adult male killer whale weighs 24,000 pounds. This adult male would have the same z-score weight as a female killer whale whose weight, in kilograms, is equal to which of the following? Select one: 1. 24,000 2. 30,000 3. 36,000 4. 21,000 5. 14,000
Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 1.75 kg with a standard deviation of 0.33 kg. After years of marked oxygen depletion from pollutants in the creek, a biologist wants to see if the standard deviation, o, of weights has changed. The biologist measures the weights of 20 randomly chosen mature rainbow trout from the creek and finds that the sample standard deviation is 0.38 kg. Assume the current weights of mature rainbow trout in the creek follow a normal distribution. Does the biologist have sufficient evidence to conclude that the population standard deviation, o, differs from 0.33 kg? To answer, complete the parts below to perform a hypothesis test. Use the 0.10 level of significance.
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 3200 grams and a standard deviation of 425 grams. If a 35-week gestation period baby weighs 2850 grams and a 41-week gestation period baby weighs 3350 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period?
The standard deviation of pulse rates of adult males is less than 10 bpm. For a random sample of 144 adult males, the pulse rates have a standard deviation of 9.1 bpm. Find the value of the test statistic.
An old medical textbook states that the mean sodium level for healthy adults is 140 mEq per liter of blood. A medical researcher believes that, because of modern dietary habits, the mean sodium level for healthy adults, u, now differs from that given in the textbook. A random sample of 23 healthy adults is evaluated. The mean sodium level for the sample is 147 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 14 mEq. Assume that the population is normally distributed. Can we conclude, at the 0.10 level of significance, that the population mean adult sodium level differs from that given in the textbook? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. H₂:0 H₁ :0 (b) Determine the type of test statistic to…
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 2900 grams and a standard deviation of 440 grams. If a 35-week gestation period baby weighs 2775 grams and a 40-week gestation period baby weighs 3075 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively more? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. The baby born in week 40 weighs relatively more since its z-score, is smaller than the z-score of for the baby born in week 35. B. The baby born in week 40 weighs relatively more since its z-score, is larger than the z-score of for the baby born in week 35. O C. The baby born in week 35 weighs relatively more since its z-score, is larger…
Mike thinks that there is a difference in quality of life between rural and urban living. He collects information from
Assume that the mean height of men in the United States is 70 inches, with a standard deviation of 3 inches. A particular man is 80 inches tall. Find the z-score of his height. (Round to two decimal places.)
The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is at least 11.52 inches. Ten cities in the northeast are randomly selected and the mean rainfall amount is calculated to be 7.42 inches with a standard deviation of 1.3 inches. At the α = 0.05 level, can it be concluded that the mean rainfall was below the reported average? What if α = 0.01? Assume the amount of summer rainfall follows a normal distribution. Please also state if the assumption of normal distribution was essential for solving this question. You will need to specify the appropriate hypothesis, identify the statistical test, estimate p-value (using R command), and state your conclusion in the context of the problem. For the conclusion, please use the following template. If you reject the null writeSince p-value is [write the value of your p-value] and is less than [write the value of alpha inpercent] we reject the null hypothesis at [write the value of alpha]% significance…
Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. Assume 2.1% of the thermometers are rejected because they have readings that are too high and another 2.1% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others.

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