IQ scores are normally distributed with an average of 100 and a standard deviation of 16.Some research suggests that left-handed individuals have a higher IQ score than right-handedindividuals.To test this hypothesis, you randomly select 132 individuals and find that their average IQ is 103.2 with asample standard deviation of 14.6.You formulate the null hypothesis H0: µ =H>versus the alternative hypothesis H1:Using the results from the sample, you calculate the test statistic as t = ()/(N) =Hint: Write the t-statistic (value in the last blank) in two decimal places.Since the critical value for the one-sided alternative islevel, you reject the null hypothesis. Hint: Write the critical value in two decimal places.at the 5% significance

Given: Population mean μ = 100 Population standard deviation σ = 16 Sample size n = 132 Sample mean…

Answered: IQ scores are normally distributed with…

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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In a hypothesis test, if the null hypothesis states that the population mean is equal to 100 with a standard deviation of 15, and the sample mean is 108 with a sample size of 36, what is the calculated z-score for this test?
An economist collects a simple random sample of 32 teacher's salaries in Cititon, and finds a mean of $67,000 and a standard deviation of $8,000. Is there enough evidence to conclude, at a significance of alpha= 0.05, that the mean salary of teachers in Cititon is different than $70,000? What is the test statistic? What is the null hypothesis? What conclusion do we draw? Do we reject the null hypothesis? What is/ are the critical value(s)? What is the alternative hypothesis? What is the p-value for the problem above?
State the null and alternative hypotheses. John, a restaurant owner, suspects that prices of tomatoes in Bury are higher than the rest of Manchester. He finds that the city average price of a certain type of premium tomatoes is £20.9 with standard deviation £0.95. He takes a sample of this type of tomato from 5 local Bury stores and obtains an average price of £22.46.
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A developmental psychologist studies moral awareness in adolescents. Casual observation suggests that girls develop earlier than boys although most past research contains male participants. One test of moral awareness, standardized on male teens, has a mean of 72 and standard deviation of 18. The test is administered to 58 13-year-old girls, whose mean score is 76. Test the hypothesis that females test differently from males. binomial test Kruskal-Wallace H O one-sample t one-sample z
We want to conduct a hypothesis test of the claim that for middle-aged adults the population mean of their cholesterol levels is less than 198.9 mgdL. We choose a random sample of such levels. The sample has a mean of 195.9 mgdL and a standard deviation of 19.5 mgdL. 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 size15, and it is from a population with a distribution about which we know very little. z = t = It is unclear which test statistic to use. (b) The sample has size 19, and it is from a normally distributed population with an unknown standard deviation. z = t = It is unclear which test statistic to use.
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A simple random sample of 95 basketball players is taken from different teams and their mean weight is found to be 226 pounds and the standard deviation of the population is 20 pounds. Using 0.05 level of significance, test the claim that the average weight for all basketball players is 231 pounds. Complete the following steps: Step # 1: Write the null hypothesis Ho [ Select ] and the alternative hypothesis H1 [ Select ] and identify the claim [Select] Step # 2: Indicate what type of test has to be used [Select ] and find the critical value(s). ( Select ] Step # 3: Find the test value. [ Select ] Step # 4: Make the decision about the null hypothesis. [ Select ] Step # 5: Summarize the result. (Select J

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