Answered: 2. In previous sittings of MTH 201 the… | bartleby

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 4GP

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Question

2. In previous sittings of MTH
201 the marks obtained by
students in the final exam has
been successfully modelled with
a normal distribution with a
mean of 28 and a standard
deviation of 8. A sample of 25
students from last semester's
exam results shows average of
30. Does this mean that last
semester's students performed
better than the previous years. a
. Investigate at the 10 percent
significance level
'b.
Explain what is meant by a TYPE
Il Error

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Suppose the mean retail price oer gallon of regular gasoline int the United States is $3.42 with a standard eviation of $0.40 and the retail price per gallon has a normal bell shaped distribution. Use the Empirical Rule to answer the following quesitona. What percentage of regular gasoline sold between $2.62 and $3.82 per gallon? what percentage of regualr gasoline sold for more the $3.82 per gallon?
A count of malaria parasites in 100 fields with a 2 mm oil immersion lens gave a mean of 35 parasites per field, standard deviation 11.6 (note that, although the counts are quantitative discrete, the counts can be assumed to follow a Normal distribution because the average is large). On counting one more field the pathologist found 52 parasites. Does this number lie outside the 95% reference range? Does this number lie outside the 99% reference range? What is the reference range?
The amount of time required for routine automobile transmission service is normally distributed with the mean 35 min and the standard deviation 7.5 min. The service manager plans to have work begin on the transmission of a customer’s car 10 min after the car is dropped off, and the customer is told that the car will be ready within 1 hr total time. What is the probability that the service manager will be wrong? Illustrate the proportion of area under the normal curve which is relevant in this case.b) A contractor claims that the cost of building a farm house is a normally distributed random variable with a mean of $500,000 and a standard deviation of $50,000.i) What is the probability that the cost of building a home will be between $460,000 and $540,000?ii) The probability is 0.2 that the cost of building will be less than what amount?
Means =59.47444, SDS = 12.91711, Min = 23.599, Max = 82.603 AND Means = 67.00742, SDS = 12.7302, Min = 39.613, Max = 82.603 Means Based on your findings write a preliminary statistical report that comprises of the Methods, Results/Analysis and Conclusions sections. Include a comparison of the two distributions in (1) and (2) in terms of their central tendencies and variability. While your audience is one that lacks statistical expertise you are still expected to correctly interpret the data and statistical analyses, in a manner that is understandable to your audience. Be mindful to present an impartial report that distinguishes conclusive and inferential statements for the audience.
Aspirin is packed in 150 tab bottles with weight normally distributed with mean 750g and standard deviation 8g. Rejected bottles are those whose weight differs from the mean weight by 18g or more. That is, rejected bottles have weight either too small or too large. We want to find out how many bottles will be rejected from a daily production of 10,000 bottles. 1)Do we have to calculate one z-score or two z-scores? 2)The negative z-score is _____ ( rounded to two decimal digits) 3)The positive z-score is ______ (rounded to two decimal digits) 4)The sketch of the normal curve that describes the question is graph looks like what? 5)How many bottles, of the 10000, do we anticipate to reject?
A patient is classified as having gestational diabetes if her glucose level is above 155 milligrams per deciliter (mg/dl) one hour after a sugary drink. Sheila's measured glucose level one hour after the sugary drink varies according to the normal distribution with �=140 mg/dl and �=12 mg/dl. Suppose Sheila repeats this process on three separate randomly selected days. What sample mean blood glucose level is higher than 95% of all other sample mean blood glucose levels? Use 2 decimal places.
What raw score for age corresponds to a z- score of +4.50, given a mean of 12.0 years and a standard deviation of 4.0 years?

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