To test Ho: o = 1.7 versus H₁: o>1.7, a random sample of size n = 22 is obtained from a population that is known tobe normally distributed.(a) If the sample standard deviation is determined to be s = 1.9, compute the test statistic.(b) If the researcher decides to test this hypothesis at the a= 0.01 level of significance, use technology to determinethe P-value.(c) Will the researcher reject the null hypothesis?(a) The test statistic is x =(Round to two decimal places as needed.)n exampleGet more help.SaveER SANS PENSE)Clear all

H0 : σ = 1.7H1 : σ > 1.7n =22

Answered: To test Ho: o=1.7 versus H₁: o>1.7, 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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To test Ho: o = 2.4 versus H₁: o>2.4, a random sample of size n=23 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s= 3.3, compute the test statistic. (b) If the researcher. decides to test this hypothesis at the x = 0.05 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis? (a) The test statistic is x² =. A (Round to two decimal places as needed.) Help me solve this View an example Get more help. Clear all Type here to search Bi C a R T O (2 96°F Sunny Final check 4:15 PM E 6/18/2022
Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately σ2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 41 women in rural Quebec gave a sample variance s2 = 3.0. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find a 90% confidence interval for the population variance. Find the requested confidence interval for the population variance. (Round your answers to two decimal places.) lower and upper limit
It was reported that last year the average price of gallons of gasoline in a city X was $3.15. This year a sample of 50 gas stations had an average price of $3.10 for a gallon. We assume that the population standard deviation of prices is $0.15. We are interested in determining whether this year's mean price is less than last year. Perform a hypothesis test at the level of significance α=0.05.
A repeated-measures study with a sample of n=16 participants produces a mean difference of MD=4with a standard deviation of s=8. Use a two-tailed hypothesis test with a=.05 to determine whether it is likely that this sample came from a population with μD=0. b. Now assume that the sample mean difference is MD=10, and once again visualize the sample distribution. Use a two-tailed hypothesis test with α=.05 to determine whether it is likely that this sample came from a population with μD=0. c. Explain how the size of the sample mean difference influences the likelihood of finding a significant mean difference.
More than 100 million people around the world are not getting enough sleep; the average adult needs between 7.5 and 8 hours of sleep per night. College students are particularly at risk of not getting enough shut-eye. A recent survey of several thousand college students indicated that the total hours of sleep time per night, denoted by the random variable X, can be approximated by a normal model with E(X) = 6.62 hours and SD(X) = 1.13 hours. Question 1. Find the probability that the hours of sleep per night for a random sample of 4 college students has a mean x between 6.57 and 6.93. (use 4 decimal places in your answer) Question 2. Find the probability that the hours of sleep per night for a random sample of 16 college students has a mean x between 6.57 and 6.93. (use 4 decimal places in your answer) Question 3. Find the probability that the hours of sleep per night for a random sample of 25 college students has a mean x between 6.57 and 6.93. (use 4 decimal places in your answer)
An inventor has developed a new, energy-efficient lawn mower engine. He claims that the engine will run continuously for 5 hours (300 minutes) on a single gallon of regular gasoline. From his stock of 2000 engines, the inventor selects a simple random sample of 40 engines for testing. The engines run for an average of 295 minutes, with a standard deviation of 20 minutes. Test the null hypothesis that the mean run time is µ = 305 minutes against the alternative hypothesis that the mean run time is not 305 minutes. Use p = .08. (Assume that run times for the population of engines are normally distributed.) SE = s / √( n ) t = (x - μ) / SE Compute the standard error (SE) _____________ Degrees of freedom (df) ___________________ t-test statistic (t) __________________________
Suppose we have a random sample of size n=100 drawn from a population with a mean of μ=50 and a standard deviation of σ=10. We want to test the null hypothesis H0: μ=48 against the alternative hypothesis H1: μ≠48 using a two-tailed test with a significance level of α=0.05. What is the decision and p-value of this hypothesis test?
In a lake pollution study, the concentration of lead in the upper sedimentary layer of a lake bottom is measured from 25 sediment samples. The sample mean and the standard deviation of the measurements are found to be 0.38 and 0.06, respectively. Suppose Ho : u = 0.34 H1: u# 0.34 (a) State Type I and Type Il errors. (b) Conduct a hypothesis test at 0.01 level of significance by doing the seven-step classical approach. (please show all seven steps, formulas, calculations and the curve)
The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.8 years and a sample variance of 77.4 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls. In order to calculate the t statistic, you first need to calculate the estimated standard error. The estimated standard error SM= (round to four decimals)
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To evaluate the effect of a treatment, a sample of n = 8 is obtained from a population with a mean of μ = 40, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 35. (Use the 4-step procedure to conduct the hypothesis test) If the sample variance is s2 = 32, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = .05? If the sample variance is s2 = 72, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = .05? Comparing your answer for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test?
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 749 hours. A random sample of 28 light bulbs has a mean life of 720 hours. Assume the population is normally distributed and the population standard deviation is 64 hours. At α = 0.08, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. A. Ho: μ> 749 Ha: ≤749 (claim) D. Ho: μ≤ 720 Ha: μ>720 (claim) B. Ho: μ = 720 Ha: μ#720 (claim) E. Ho: μ#749(claim) Ha: μ = 749 O C. Ho: μ<720 (claim) Ha:μ ≥720 OF. Ho: μ ≥749 (claim) Ha: μ<749

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