Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 230 mg and a standard deviation of 47 mg. In a random sample of 600 adults, how many consume at least 310 mg of caffeine daily?

Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 230 mg and a standard deviation of 47 mg. In a random sample of 600 adults, how many consume at least 310 mg of caffeine daily?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Related questions

Q: f. A random sample of n=80 observations from a quantitative population produced X = 30.2 and s2 =…

A: Given X-bar=30.2 n=80

Q: diameter as a normal distribution with mean 10.1 mm and standard deviation 2.7 mm. c) (a) For the…

A: We have given that Mean = 10.1 Standard deviation = 2.7

Q: EXAMPLE :- How many 3 digits number can be formed using digits 1,6,8,9,3,7 without repeating any…

A: Permutation means the arrangement of items in order. Suppose, 'n' be the number of items to choose…

Q: Below is a sample of share prices (in dollars) for a particular stock, selected at random over…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: If jellybeans are not associated with acne and you adopt an alpha of 5%: What is the probability of…

A: P-value is the probability of obtaining a test statistic as extreme as the one obtained, assuming…

Q: c) (a) For the next shaft, what is the probability that its diameter is between 8.5 mm and 13.0 mm?…

Q: Researchers recently conducted a study to determine whether the medication Paxil is effective in the…

Q: Example 17.2 We take another example of multiple regression analysis. This also relates to sales an…

Q: A newsgroup is interested in constructing a 99% confidence interval for the difference in the…

A: Given n1=600 X1=407 n2=538 X2=467

Q: Example 19.17 The following arrangement shows the rise (U) or fall (D) in the price of an equity…

Q: iid ulo, @) find minimum Sat fiei SaPficient

Q: Please use Standard Normal Distribution to find the proportion of observations that satisfies each…

A: Using standard normal distribution

Q: Suppose the following data were collected from a sample of 15 CEOS relating annual salary to years…

A: The independent variables are experience, service and industrial. The dependent variable is salary.…

Q: a sample of 64 measurements are randomly selected from a poulation with a mean of 30 and a standard…

A: We have given that Sample size (n) = 64 Mean(µ) = 30Standard deviations (σ) = 5

Q: Example 18.16) The sales of a company (in lakh of Rs) for the seven years are given below: Year 1990…

Q: The personnel director of a large hospital is interested in determining the relationship (if any)…

A: Solution

Q: The researcher would like to test the hypothesis (use Median test) that the two fertilizers have the…

Q: Example 17.2 We take another example of multiple regression analysis. This also relates to sales ar…

Q: Let z be a random variable with a standard normal distribution. Find the indicated probability.…

A: Z value is calculated using the combined value of mean and standard deviation. The standard normal…

Q: True or False: The confidence interval narrows when the level of significance increases from 95% to…

A: In question, Given that if the level of significance increases from 95% to 99% then how confidence…

Q: the probabilities that it will take on a value: a) Greater than 16.5 b) Less than 15 c) Between 13.5…

A: Given that. X~N( μ , ?^2 ) μ=16 , ?=1.25 Z-score =( x - μ )/?

Q: For least-squares to work well, we need: the relationship between x and y to be non-linear.…

A: We have given the following statement about the least square.

Q: Consider the pdf shown. Determine (a) the constant b in terms of a. (b) P(X>a). (d) X, X2 and o² .…

A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted.

Q: 2. The STATISTIC in the study is O The average salary the thirty eight nurses in San Francisco make…

A: Given that The statistic is a function of sample values only. And parameter is based on population…

Q: You want to prepare a 90% confidence interval for the life of a butterfly of a particular type. You…

A: Given that Sample size n =25 Sample mean =47 Sample standard deviation =3

Q: confidence intervals and sample size: How do I solve this problem? If a sample of 48 has a mean of…

A: Given,sample size(n)=48sample mean(x¯)=416standard deviation(s)=15degrees of…

Q: An archer’s standard deviation for his hits is six (data is measured in distance from the center of…

A: Solution-: Given: σ0=6 An archer’s standard deviation for his hits is six (data is measured in…

Q: In a study on college dropout rates, researchers found one factor that influenced the decision to…

A: We have given that, Sample mean (x̄) = 3.11, standard deviation (s) = 0.66 and sample size (n) =…

Q: Suppose a jar contains 11 red marbles and 19 blue marbles. If 2 marbles are randomly chosen from the…

A: Suppose a jar contains 11 red marbles and 19 blue marbles. If 2 marbles are randomly chosen from the…

Q: In a study of 2005 model cars, a researcher computed the least squares regression line of miles per…

A: Given data in a study of 2005 model cars a researcher computed the least squares regression…

Q: (a) Let V be the average volume of a random sample of 144 bottles. Find the expected value and…

Q: Question 18 > Determine the distribution of the data pictured below 5 2 data 3 4 Uniform Bell-shaped…

Q: A random sample of 33 professional baseball salaries from 1985 through 2015 was selected. The league…

A: We will Solve this Problem using Minitab and use the output to answer the above questions (a) Test…

Q: EXAMPLE :- How many 3 digits number can be formed using digits 1,6,8,9,3,7 without repeating any…

A: From the provided information, The digits are 1, 6, 8, 9, 3, 7 Total digits = 6

Q: Find the expected value of the above random variable.

A: The expected value of random variable X is calculated as E(X) = ∑x. P(x)

Q: The college physical education department offered an advanced first aid course last summer. The…

A: Solution: Let X represent the scores on the comprehensive final exam were normally distributed with…

Q: A group of friends is looking to buy a new board game. They've narrowed the choices down to three.…

Q: Given a normally distributed population with a mean of 100 and variance 100, find f) P(90 Sx S 115)…

A: Let X be the random variable from normal distribution with mean (μ) = 100, variance (σ2)= 100 Then,…

Q: discuss a situation where you would test for independence.

A: Test of independence determines whether two factors/ variables are independent or dependent.…

Q: 1. Suppose the utility bills for all Carrollton residents have a mean of $63 and a standard…

Q: The heights of 1800 adults are normally distributed with a mean of 70 inches and a standard…

A: 1. a) Empirical rule: The probability of the observation lies within 1 standard deviation of the…

Q: . A wildlife researcher is interested in predicting an alligator’s weight (in pounds) based on its…

Q: Order to estimate the percentage of adults who file their taxes at least two weeks before the April…

A: Given that 95% confidence interfull is constructed. The interval ends up being from 0.759 to 0.841

Q: When finding percentiles, if the locator L is not a whole number, one procedure is to interpolate so…

A: Using the method of interpolation , we need to find P75 for the set of test scores below. 51 54 64…

Q: In a box there are 12 male and 6 female piglets. If 6 piglets are chosen at random, what is the…

Q: 4. Suppose on average, Mymensingh registers 20 fatalities per week from the novel coronavirus. a.…

Q: Winning team data were collected for teams in different sports, with the results given in the…

A: The level of significance is 0.05.

Q: Let's say that 80% of all business startups in the IT industry report that they generate a profit in…

A: We have given that p = 80% = 0.80 n = 10 X ~ B( 10, 0.8 ). The pmf of Binomial distribution,…

Q: YOUR FINAL TASK Instruction: State the null hypothesis and the alternative hypothesis in (a) words…

Q: Example 5.1 Suppose a student has secured the following marks in three tests: Mid-term test 30…

Question

Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of

230

mg and a standard deviation of

mg. In a random sample of

600

adults, how many consume at least

310

mg of caffeine daily?

Click here to view page 1 of the standard normal distribution table.

Click here to view page 2 of the standard normal distribution table.

Question content area bottom

Part 1

Of the

600

adults, approximately

enter your response here

adults consume at least

310

mg of caffeine daily.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution