Consider the following hypothesis test:Но: и< 26Ha: µ > 26A sample of 40 provided a sample mean of 27.4. The population standard deviation is 5.a. Compute the value of the test statistic (to 2 decimals).b. What is the p-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations.c. At a =0.01, what is your conclusion?p-value is- Select your answer -Ноd. What is the rejection rule using the critical value?Reject Ho if z is- Select your answer -What is your conclusion?Select your answer - v Ho

Solution: Given information: n= 40 Sample size x = 27.4 Sample mean μ= 26 Population mean σ= 5…

Answered: Consider the following hypothesis test:…

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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A population of values has a normal distribution with u = 119.8 and o = 54.3. A random sample of size n = 137 is drawn. a. What is the mean of the distribution of sample means? b. What is the standard deviation of the distribution of sample means? Round your answer to two decimal places. Submit Question
You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 73.7 HaiH + 73.7 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 54 mean: M = 65.8 standard deviation: SD = 20.1. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P-value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... less than (or equal to) a greater than a This leads to a decision to... reject the null accept the null fail to reject the null So, the final conclusion is that... The data do not support the claim of the alternative hypothesis that the population mean is not equal to 73.7. The sample data support the claim of the alternative hypothesis that the population mean is not equal to 73.7.
This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
You wish to test the following claim (Ha) at a significance level of a = 0.005. H.: µ = 60.8 H.:u > 60.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 92.4 61.2 97.2 82.3 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a O greater than a This test statistic leads to a decision to... o reject the null o accept the null o fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 60.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 60.8. The sample data support the claim that the population mean is greater than 60.8. There is…
just answer the following mcqs:
The time to complete an exam is approximately Normal with a mean μ = 47 minutes and a standard deviation o = 8 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. 1. Fill in the indicated boxes. μ-3σ μ-2ο μίσ + μ μ+o 47 minutes. 2. Used the Empirical Rule to complete the following statements: 95% of testing times were between and μ = 47 σ = 8 μ+20 μ+30 minutes and 55 minutes. minutes % of the testing times were between 39
Consider the following hypolhesis test: Ho : µ > 240 H. : µ < 240 A sample of 60 provided a sample mean of 234 and a sample standard deviation of 25. Find the value of the test statistic. Select one: O a. t = -1.86 Ob.t = -0.24 O c.t = -2.32 O d. t -0.30
I only need help with parts c and d. Thank you!!!
Consider the following sample: 10 22 63 70 98 the mean and sample standard deviation of which are 52.6000 and 36.1359.What is the z-score of '10'? (Leave your answer to 2 decimals: ex: 1.23)
These are the numbers I am working with: Sample mean= 78 Population mean= 75 Standard deviation:=10 Significance level: .05 Critical value: Z score > 1.96 Z score= 1.34 How do I figure the confidence limits for the 95% confidence interval. Z-score= 1.34 P-value= .1802
Suppose test scores can range from 0 to 200 and follow an (approximately) Normal distribution with mean 115 and standard deviation o = 25. Ho: µ = 120 and the alternative Ha: uz 120. A class of 30 students had a mean score of 117. a. What is the value of the test statistic z? b. What is the P-value? С. Would you reject or fail to reject the null at the 5% significance level? Why?

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