Question 49The average movie admission price for a recent year was $7.18. The populationvariance was 3.81. A random sample of 15 theater admission prices had a mean of $8.02with a standard deviation of $2.08. At a = 0.05, is there sufficient evidence to conclude adifference from the population variance? Assume the variable is normally distributed.What is the null hypothesis in this problem?a) ²3.81Ob) 23.81Oc)²3.81d) ²3.81Oe) ² = 3.81O²>3.81

Assume that is the population variance of movie admission price for the recent year.

Answered: The average movie admission price for a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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After numerous studies, it is estimated that the age of college students follows a normal distribution with a mean of 20.7 years and a standard deviation of 1.8 years. A random sample of 16 college students is taken and the sample mean and sample standard deviation are found to be 21.5 years and 2.3 years, respectively. a.Is the sample average of 21.5 considered an outlier (in other words, what is the chance of getting a sample mean at least as large as 21.5 assuming μ and σ are correct)? b. The calculated value of the sample standard deviation is larger than σ, is 2.3 years enough larger than 1.8 that the estimate of σ does not seem reasonable? Use probability to support your conclusion c.No matter what you got for an answer in part b, assume we no longer trust σ = 1.8 to be valid. Calculate the same probability as you did in part a, but this time, assume that σ is unknown.
A researcher wants to assess if there is a difference in the average life spans between men and women in Japan. A random sample of 10 women showed an average life span of 83 years old, with a sample standard deviation of 7 years. A random sample of 10 men showed an average life span of 77 years, with a sample standard deviation of 6.4 years. Assume that life spans are normally distributed. d. State the null and alternative hypothesis e. Give the p-value f. Give a conclusion for the hypothesis test
A random sample is obtained from a normal population with a mean of u=95 and a standard deviation of o=40. The sample mean is M=86. a.is the a representative sample mean or an extreme value for a sample of n=16 scores?
A population has a mean μ = 73 and a standard deviation o = 28. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 257. Hx ox (Simplify your answer.) (Type an integer or decimal rounded to three decimal places as needed.)
The average dues paid by students at state universities across the country were $2236 per student last year. The average for a random sample of 500 students this year is $2350. Given the following hypotheses, Ho: 4 = 2236 (The average fees are the same as last year.) Ha: M + 2236 (The average fees are not the same as last year.) compute the p-value for the sample result. Assume the population standard deviation is $724. If the significance level is 5%, can the null hypothesis be rejected?
Assume that the heights of adult puffins are normally distributed, with a mean of μ=μ= 15.9 inches and a standard deviation of σ=σ= 2.7 inches. For a random sample of 28 puffins, answer the following: What is the mean of the distribution of x¯ ?
Suppose that we want to estimate the mean reading speed of second graders. The random sample of students' reading speeds we choose has a mean of 29.8 words per minute and a standard deviation of 2.7 words per minute. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable having a standard normal distribution, and t refers to a variable having a t distribution.) Sampling Scenario Z t could use either Z or t unclear (1) The sample has size 95, and it is from a non-normally distributed population with a known standard deviation of 3.2. (2) The sample has size 19, and it is from a population with a distribution about which we know very little.

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