We want to conduct a hypothesis test of the claim that the population mean reading speed of second graders is different from 28.1words per minute. So, we choose a random sample of students' reading speeds. The sample has a mean of 28.4 words per minute anda standard deviation of 2.9 words per minute.For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Thencalculate that statistic. Round your answers to two decimal places.(a) The sample has size 19, and it is from a normally distributed population with a known standard deviation of 2.8."our reOt =O It is unclear which test statistic to use.(b) The sample has size 20, and it is from a population with a distribution about which we know very little.O It is unclear which test statistic to use.Check© 2022 McGraace

The random variable X follows normal distribution. We have to find the value of the test statistic…

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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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Please help me with this question.
You have following observations -1.5, 2.6, 1.2, -2.1, 0.1, 0.9. Find a sample mean, a sample variance, construct an empirical distribution function.
A developmental psychologist is interested in studying how long babies gaze at a photograph of a human face. To test this question, she shows a picture to a sample of six babies and records the length of their gaze in seconds. The data are as follows: 12, 17, 18, 20, 20, 29. Calculate the mean, median, mode, range, variance and standard deviation for the sample.
Suppose we wish to study the average income of Cactus Club customers, so we plan to conduct a research project with a 95% confidence level. We need our range of error (E) to be no greater than $500. Based on our past experience, we estimate the sample standard deviation to be $5,000. What sample size do you need in order to conduct the research? Select one: a. 372 b. 784 c. 824 d. 385 e. 196
A researcher would like to evaluate the effectiveness of a pain-relief patch designed for lower back pain. Prior to testing the patch, each of n = 8 patients rates the current level of back pain on a scale from 1 to 10. After wearing the patch for 90 minutes, a second pain rating is recorded. The data are as follows: Include in your responses: A. Compute the mean and variance for the sample of difference scores. B. Provide the Null and alternative hypotheses C. Calculate SSD
,Example 17-11. (a) Show that if a most efficient estimator A and a less efficient estimator B with efficiency e tend to joint normality for large samples, B-A tends to zero correlation with A. (b) Show that the error in B may be regarded as composed (for large samples) of two parts which are independent, the error in A and the error in (B -A). (c) Show further that V(A – B) = ( - 1)V(A). e
The average income in a state was $64 comma 64,000 per person per year. Suppose the standard deviation is $29 comma 29,000 and the distribution is right-skewed. Suppose we take a random sample of 100 residents of the state. Complete parts (a) and (b) below. a. What value should we expect for the sample mean? Why? b. What is the standard error for the sample mean?
Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
Consider the following data: −10, −10, 0, 3, −10, 3, 3 Step 1 of 3: Calculate the value of the sample Variance. Round your answer to one decimal place. Step 2 of 3: Calculate the value of the sample deviation. Round your answer to one decimal place. Step 3 of 3: Calculate the value of the range.
MC Qu. 10-64 Sales at a fast-food restaurant average... Sales at a fast-food restaurant average $6,000 per day. The restaurant decided to introduce an advertising campaign to Increase daily sales. In order to determine the effectiveness of the advertising campaign, a sample of 49 day's sales were taken. The sample showed average daily sales of $6,300. From past history, the restaurant knew that its population standard deviation is about $1,000. If the level of significance is 0.01, have sales increased as a result of the advertising campaign? Multiple Choice Fail to reject the null hypothesis. Reject the null hypothesis and conclude the mean is higher than $6,000 per day. Reject the null hypothesis and conclude the mean is lower than $6,000 per day. Reject the null hypothesis and conclude that mean equal to $6,000 per day.
We want to conduct a hypothesis test of the claim that the population mean number of holding penalties during a college football game is more than 2.4 penalties per game. So, we choose a random sample of games. The sample has a mean of 2.5 penalties per game and a standard deviation of 0.8 penalties per game. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 105, and it is from a non-normally distributed population with a known standard deviation of 0.59. Oz= 01 = 0 O It is unclear which test statistic to use. (b) The sample has size 14, and it is from a normally distributed population with an unknown standard deviation. -0 Oz= 01-0 O It is unclear which test statistic to use.
Please help me with both parts a and b of this question! Thank you!

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