Math

StatisticsQ&A LibraryA sample of 55 night-school students' ages is obtained in order to estimate the mean age of night-school students. x = 25.8 years. The population variance is 30. (a) Give a point estimate for μ. (Give your answer correct to one decimal place.) (b) Find the 95% confidence interval for μ. (Give your answer correct to two decimal places.) Lower Limit Upper Limit (c) Find the 99% confidence interval for μ. (Give your answer correct to two decimal places.) Lower Limit Upper LimitStart your trial now! First week only $4.99!*arrow_forward*

Question

A sample of 55 night-school students' ages is obtained in order to estimate the mean age of night-school students. x = 25.8 years. The population variance is 30.

(a) Give a point estimate for μ. (Give your answer correct to one decimal place.)

(b) Find the 95% confidence interval for μ. (Give your answer correct to two decimal places.)

(c) Find the 99% confidence interval for μ. (Give your answer correct to two decimal places.)

(b) Find the 95% confidence interval for μ. (Give your answer correct to two decimal places.)

Lower Limit | |

Upper Limit |

(c) Find the 99% confidence interval for μ. (Give your answer correct to two decimal places.)

Lower Limit | |

Upper Limit |

Tagged in

Math

Statistics

Find answers to questions asked by students like you.

Q: dults aged 18 years old and older were randomly selected for a survey on obesity. Adults are conside...

A: Let p1 denote the proportion of southern women who are obese and p2 denote the proportion of souther...

Q: Consider the following context, identify the who, what, and measurement scale of variables. A r...

A: Case Variable(s) - When conducting a research study information is collected concerning cases . The ...

Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the ind...

A:

Q: The larger the sample size, the smaller the standard error. True or Fale?

A: Given that, The larger the sample size, the smaller the standard error.

Q: A population of values has a normal distribution with Mean = 211 and standard deviation = 75.8 a ran...

A: (A) The probability that a single randomly selected value is between 195.8 and 200.3 is 0.0236, whic...

Q: Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batte...

A: Let X be a random variable with mean μ and standard deviation σ. Then, x¯-μσn follows a standard nor...

Q: Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data are recorde...

A: Click to see the answer

Q: a. For a population with a mean of μ= 50 and a standard deviation of σ= 10, compute the standard er...

A: Given data: Let X be any randomly selected score from a normal population with mean and standard dev...

Q: Find the value of the linear.correlation coefficient r using the paired data below. x 75 35 95 16 35...

A: Number of samples (n) = 7 x y x2 y2 xy 75 165 5625 27225 12375 35 146 1225 21316 5110 95 13...

Q: A data set includes 106 body temperatures of healthy adult humans having a mean of 98.9°F and a stan...

A: Sample mean , x̅ = 98.9°F Sample standard deviation , s = 0.62°F Sample size , n = 106. Confidence l...

Q: Three randomly selected households are surveyed. The numbers of people in the households are 3, 4,...

A: Sample variances: The following table lists the possible samples with replacement, from the three gi...

Q: The following table give the no. of good and defective parts produced by each of these shifts in a f...

A: Null hypothesis: H0: Shift has no association with good and defective parts. Alternative hypothesis:...

Q: Depths of pits on a corroded steel surface are normally distributed with mean 822 µm and standard de...

A: Click to see the answer

Q: A stick of unit length is broken into two pieces. Find the expected ratio of the length of the longe...

A: Click to see the answer

Q: A random sample of 50 binomial trials resulted in 20 successes. Test the claim that the population p...

A: It is given that, Number of trials (n)=50 Number of success(f)=20 we have to test the claim that the...

Q: The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.96...

A: Let X denote the amounts of nicotine in a certain brand of cigarette are normally distributed with a...

Q: In an effort to cut costs and improve profits, any US companies have been turning to outsourcing. In...

A: Given information Probabilities of outsourcing (p) = 0.54 Total number of companies contacted (n) = ...

Q: The distance travelled to works by employees at a large company are normally distributed with mean o...

A: Given information Mean = 35 miles Standard deviation = 8 miles

Q: Understand the basic principles of sampling, including the differences between statistical and nonst...

A: The sampling theory is based on three principles- (a) Principle of validity- According to this, the ...

Q: The city of Raleigh has 7,600 registered voters. There are two candidates for city council in an upc...

A: Given that, The city of Raleigh has 7,600 registered voters. There are two candidates for city counc...

Q: Don’t construct a confidence interval: At the end of a television documentary on the nature of gover...

A: Conditions for confidence interval for proportion: sample is selected randomly. The items from the ...

Q: A sample of n = 4 scores has a mean of M = 75. Find the z-score for this sample: a. If it was obtain...

A: A sample of n = 4 scores has a mean of M = 75.

Q: Is there any difference in the variability in golf scores for players on a women's professional golf...

A: Click to see the answer

Q: Periodically, customers of a financial services company are asked to evaluate the company's financia...

A: Hi, Since, your question has more than 3 parts, we have solved only the first three subparts for you...

Q: a. Assume H0: μ= 9 and Ha: μ< 9. Is this a left-tailed, right-tailed, or two-tailed test?b. Assum...

A: A left tailed test is conducted when the alternative hypothesis(H1) contains the condition H1<x (...

Q: Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone...

A: The summary of the statistics is,

Q: The test statistic of z = 1.66 is obtained when testing the claim that p 0.823. a. Identify the hypo...

A: The claim is p≠0.823.

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard...

A: Given: 2.2% of the thermometers are rejected because they have readings that are too high and anoth...

Q: In a test of the effectiveness of garlic for lowering cholesterol, 48 subjects were treated with gar...

A: The degrees of freedom is, n-1=48-1 =47 The critical-value is obtained by using Excel function ...

Q: Consider a sampled population that is normally distributed, with the given information. (Give your a...

A: (a) Obtain the 95% confidence interval for the population mean. The 95% confidence interval fo...

Q: Salaries of 48college graduates who took a statistics course in college have a mean,x, of $66,400....

A: Click to see the answer

Q: For random samples of size n = 25 selected from a normal distribution with a mean of mean of μ = 50 ...

A: Let X follows normal distribution with a mean of mean of μ = 50 and a standard deviation of σ = 20...

Q: Assume that when adults with smartphones are randomly selected, 44% use them in meetings or classe...

A: Probability that adult use their smartphones in meetings or classes = 0.44 Sample size, n = 9

Q: A normal distribution has a mean of u=54 and a standard deviation of o=6, what is the probability of...

A: Mean = 54 Standard deviation = 6 Sample size, n = 36

Q: How many ants will climb on a piece of a peanut butter sandwich left on the ground near an ant hill?...

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case ...

Q: let X1,..., Xn be i.i.d. random variables with distribution N(µ, o²), with both u and o? unknown. (a...

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case yo...

Q: 65% of all Americans live in cities with population greater than 100,000 people. If 47 Americans are...

A: (a) Obtain the probability that exactly 29 of them live in cities with population greater than 1...

Q: The regression line for a set of data will have little meaning unless: Select one: a. the correlat...

A: The correlation coefficient denotes the degree of linear relationship between two variables. The mor...

Q: Faculty in the psychology department at State University consume an average of 5 cups of coffee per ...

A: It is given that the mean is 5 and the standard deviation is 1.5.

Q: Directions: Use the following dataset to answer questions 1-3. Show all work. When necessary, round ...

A: x y x-x y-y (x-x)2 (y-y)2 (x-x)(y-y) -4 6 -4 -6.6 16 43.56 26.4 -2 10 -2 -2.6 4 6.76 5.2 0 13 ...

Q: Case Study 14-1 A professor of women's studies is interested in determining if stress affects the me...

A: Hii ! Thanks for posting the question . Since your question has more than 3 sub-parts . we have solv...

Q: Consider babies born in the "normal" range of 37–43 weeks gestational age. A paper suggests that a n...

A: d) It is given that the birth weights are normally distributed with mean μ=3,500 grams and standard ...

Q: Closing price of two stocks are recorded for 50 days. The sample standard deviation of stock X is 7....

A: Given information- Sample Standard Deviation of Stock X = Sx = 7.240 Sample Standard Deviation of St...

Q: The probability of winning the grand prize at a particular carnival game is 0.005. Michele wins the ...

A: Probability measures the chance occurrence of an event out of all possible outcomes.

Q: Calculate the 30th percentile of the data shown x 2.5 4.4 5.7 7 7.6 8.1 17.8 21...

A: The ascending order of the data is, x 2.5 4.4 5.7 7 7.6 8.1 17.8...

Q: Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone...

A: Solution: Given information n=242 Sample size μ=4.8 ppm Population meanx=5.2 ppm Sample means2=1.00 ...

Q: Run an appropriate test to compare variance between x1 and x2. What is the nameof the test you used?

A: Click to see the answer

Q: In general, when the sample size is small (n<30) and the variance of the population is known, it ...

A: According to the provided information, the variance of the population is known.

Q: Graeter’s is thinking about expanding its ice cream flavors. They have created three new flavors of ...

A: Hey, since there are multiple subparts posted, we will answer first three question. If you want any ...

Q: A distribution has a mean of 100 and a median of 90. The shape of this distribution is most likely: ...

A: The right-skewed distribution in which most of the data lie on the left side of the number line that...