A machine is set to fill soda bottles up to 21 oz. and is considered to be in perfect adjustmentif the average fluid ounces is 21 ounces. A sample of 180 beverages were measuredrandomly. It is determined that the average volume of the containers in the sample is 21.07oz with a standard deviation of 0.44 oz.Formulate the hypotheses to determine whether or not the machine is in perfectadjustment.b. Compute the test statistic.Using the p-value approach, what is your conclusion? Let a = .05.a.C.

The null and alternative hypotheses are:this is a two-tailed test as the direction of alternative…

Answered: A machine is set to fill soda bottles…

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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According to United States Department of Agriculture, the average retail price of conventional whole milk at New York City in the year 2020 (up to November 2020 considered) is $3.92 per gallon. The standard deviation in the retail prices in the year 2020 (up to November 2020 considered) is $0.084. You are given a task of selecting randomly a sample of 85 milk bottles (whole milk of 1 gallon volume). a. Calculate µx̅ and σx̅. b. What is the approximate probability that the sample has a mean retail price that exceeds $4.05? c. What is the approximate probability that the sample has a mean retail price between $3.91 and $3.94?
The actual volumes of quart-size jars of Hellmann's mayonnaise are uniformly distributed from 31.47 to 32.47 fluid ounces. Find the standard deviation in volumes of quart-size Hellmann's mayonnaise jars (in fluid ounces). NOTE: There are 32 fluid ounces in a quart.
b.
The actual volumes of quart-size jars of Hellmann's mayonnaise are uniformly distributed from 31.6 to 32.53 fluid ounces. Find the standard deviation in volumes of quart-size Hellmann's mayonnaise jars (in fluid ounces). NOTE: There are 32 fluid ounces in a quart.
Some dairy cows receive injections of BST, a hormone intended to spur greater milk production. After the first injection, a test herd of 101 cows increased their mean daily production from 22kg to 28kg of milk. The standard deviation of the increases was1.6kg. We want to estimate the mean increase a farmer could expect in his own cows. Complete parts a) through d)
A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 185 lb and a standard deviation of 39 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers? The maximum mean weight is lb. (Type an integer or a decimal. Do not round.) b. If the water taxi is filled with 25 randomly selected passengers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with 20 randomly selected passengers, what is the probability that their mean weight…
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 197 lb and a standard deviation of 43 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3750 Ib. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is Ib. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 187.5 lb, which is the…
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 186 lb and a standard deviation of 44lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500lb. Complete parts (a) through (d) below. A. Given that the gondola is rated for a load limit of 3500lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is______ B. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is____ C. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 186 lb, which is the maximum mean weight that does not cause the total load to exceed 3500lb? The…
Rivets. A company that manufactures rivets believesthe shear strength of the rivets they manufacture followsa Normal model with a mean breaking strength of 950pounds and a standard deviation of 40 pounds.a) What percentage of rivets selected at random willbreak when tested under a 900-pound load? b) You’re trying to improve the rivets and want to exam-ine some that fail. Use a simulation to estimate how many rivets you might need to test in order to findthree that fail at 900 pounds (or below).
The distribution of weights for 12-month-old baby boys in the US is approximately normal with mean u = 22.5 pounds and standard deviation o = 2.2 pounds. a) If a 12-month-old boy weighs 20.3 pounds, approximately what weight percentile is he in? b) If a 12-month-old boy is in the 84th percentile in weight, estimate his weight. c) Estimate the weight of a 12-month-old boy who is in the 25th percentile by weight. d) Estimate the weight of a 12-month-old boy who is in the 75th percentile by weight.
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A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 200 lb and a standard deviation of 38 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3750 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers? The maximum mean weight is 150 lb. (Type an integer or a decimal. Do not round.) ... b. If the water taxi is filled with 25 randomly selected passengers, what is the probability that their mean weight exceeds the value from part (a)? The probability is 1 (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with 20 randomly selected passengers, what is the probability that their…

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