A random sample of sizenbspnnbsp 100 from a normal, Ask an Expert

Statistics

A random sample of size n = 100 from a normal population with unknown mean and variance is to be used to test the null hypothesis, H0 : μ = 12, versus the alternative, H0 : μ /= 12. The observed sample standard deviation is s = 0.5.

(i) Determine the rejection region for α = 0.1, 0.05 and α = 0.01.

(ii) If the true population mean has shifted to μ = 11.9, determine the value of β corresponding to each of the rejection regions obtained in (i) and hence the power of each test. Comment on the effect that lowering α has on the corresponding values of β and power.

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91710262

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

Plastic sheets made by a machine are periodically monitored

Plastic sheets made by a machine are periodically monitored for fluctuations in thickness. If the true standard deviation in thickness exceeds 2.0 millimeters, there is cause for concern about product quality. Past exper ...

If we are interested in job satisfactionname a variable

If we are interested in job satisfaction. Name a variable that correlates with job satisfaction but we do not have causation. Name a variable that you believe may have a casual relationship with job satisfaction. Name a ...

Wanda is going to silver dipper ice cream shop to get a

Wanda is going to Silver Dipper Ice Cream Shop to get a treat. She has 12 flavors of ice cream to choose from. There are 6 different types of toppings, and she may get her ice cream in a bowl, a regular cone, or a waffle ...

A shipment of 11 televisions sets contains 4 defective sets

A shipment of 11 televisions sets contains 4 defective sets. A hotel purchases 7 of these televisions sets. a: In how many ways can a hotel purchase 7 and receive 2 of the defective sets? b: What is the probability that ...

Suppose you believe that du ponts stock price is going to

Suppose you believe that Du Pont's stock price is going to decline from its current level of $82 sometime during the next 5 months. For $5.25 you could buy a 5-month put option giving you the right to sell shares at a pr ...

Buses run every 15 minutes along a certain route during

Buses run every 15 minutes along a certain route during rush hour. The time that a person would have to wait at a bus stop is uniformly distributed between 0 and 18 minutes. a. What is the probability that this person ha ...

A hypothetical population consists of eight individuals

A hypothetical population consists of eight individuals ages 13, 15, 17, 21, 22, 23, 26, and 30 years. (Enter your answers to three decimal places.) (a) What is the probability that a person in this population is a teena ...

Mort is to pay off a loan of 75000 with equal payments at

Mort is to pay off a loan of $75,000 with equal payments at the end of every month over 10 years (i.e., 120 months). The ANNUAL effective rate is 5%. Mort decides that he can actually manage to pay double the monthly pay ...

A researcher records the following body mass index bmi

A researcher records the following body mass index (BMI) scores for a group of participants: 29.1 1.3 (M SD). Participants who score between 26 and 30 on this scale are categorized as overweight. What proportion of parti ...

A national air traffic control system handled an average of

A national air traffic control system handled an average of 47,556 flights during 28 randomly selected days in a recent year. The standard deviation for this sample is 6,251 flights per day. Complete parts a through c be ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert