use p-value and z-test for hypotheses testing currently, the fastest rat killer chemical (chemical A) kills a rat in an average time of 4 seconds. another scientist believes that his chemical kills faster than the previous one. so, he conducted a study and the results are as follows: the standard deviation is 0.78 and the alpha is 0.05 (n=30)

use p-value and z-test for hypotheses testing currently, the fastest rat killer chemical (chemical A) kills a rat in an average time of 4 seconds. another scientist believes that his chemical kills faster than the previous one. so, he conducted a study and the results are as follows: the standard deviation is 0.78 and the alpha is 0.05 (n=30)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The average number of moves a person makes in his or her lifetime is 12 and the standard deviation is 3.5. Assume that the sample is taken from a large population and the correction factor can be ignored. Round the final answers to four decimal places and intermediate z value calculations to two decimal places. Part 1 of 3 Find the probability that the mean of a sample of 25 people is less than 10. P(X10)=D %3D
A random sample of n = 25 is selected from a normal population with mean = 107 and standard deviation = 13. Find the probability that the sample mean deviates from the population mean u = 107 by no more than 5. (Round your answer to four decimal places.)
A sample of size 115 will be drawn from a population with mean 48 and standard deviation 12. Use the TI-83 Plus/TI-84 Plus calculator. Part 1 of 2 (a) Find the probability that x will be less than 45. Round the answer to at least four decimal places. The probability that x will be less than 45 is 0.0037 Part: 1/ 2 Part 2 of 2 (b) Find the 25 th percentile of x. Round the answer to at least two decimal places. The 25 th percentile is Skip Part Check Save For Later Subm © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Cente ......... .........a ... MacBook Air DII 80 F10 F7 F9 esc F4 F6 F2 F3 F1 @ 23 $ % & 1 2 3 4 6. 8.
population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size 100 is selected and is used to estimate u. a. What is the probability that the sample mean will be within 25 of the population mean? b. What is the probability that the sample mean will be within@10 of the population mean? L(Ctrl) -
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 769 hours. A random. sample of 29 light bulbs has a mean life of 756 hours. Assume the population is normally distributed and the population standard deviation is 64 hours. At a = 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. OB. Ho: H=756 OA. Ho: 769 H₂: μ#756 (claim) Ho: 2769 (claim) H₂H756 (claim)
A new material will replace the old material only if there is significant evidence that the mean strength of the new material is more than 2 units higher than the mean strength of the old material. Sample from new material: mean is 98.064 , SD is 5.6 and sample size is 13 Sample from old material: mean is 95.282 , SD is 5.8 and sample size is 78 We do not know population standard deviations. Consider the test ?0:????−????=2H0:μnew−μold=2 vs. ?0:????−????>2H0:μnew−μold>2 What is the p-value? (Hint: best to use software, or else the Desmos Calculator for the 2 sample T and Z test) Give as a decimal between 0 and 1 accurate to at least 4 decimal places.
A psychologist obtains a random sample of 30 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 45 minutes each day until they give birth. We know that IQs are normally distributed with a mean of 100. A few years after their births the children were given an IQ test and the IQs of the 30 children in the study resulted in a sample mean of 104.2. Assume the population standard deviation for IQ of children is 15. Is there evidence that the children who listen to Mozart for at least 45 minutes each day during pregnancy have higher IQs at the 0.05 level of significance? Step 1: Define the parameter & setup the testStep 2: State the Level of SignificanceStep 3: Find the value of the Test StatisticsStep 4: Find P-Value OR Find Critical ValueStep 5: State Conclusion and why
Adolescents commit an average of μ = 40 errors before they complete a standard test of their verbal skills. The distribution of error scores is approximately normal with a standard deviation of σ = 8. A researcher is testing the effect of a new method of teaching that increases the verbal skills of adolescents. A typical junior high school student is selected and given the verbal skills tutorial teaching. The student then finishes the verbal skill test with a total of X = 24 errors. What is the probability that an adolescent (without the verbal skills training) would score less than or equal to X = 24 errors? (use 4 decimal places)
Kelsi is curious to see if ST 243Z campus students typically got their first cell phone at a younger age than they (Kelsi) got their first phone. To investigate this, they take a random sample of 20 students from all ST 243Z campus students this Winter 2024 term and find those students had an average age of 11.85 years when they reported receiving their first phone. The standard deviation of the population, ox, is known to be 1.91 years. The histogram and boxplot of the sample are provided below. We are interested at exploring at the 90% confidence level. What is the average age for getting their first phone of all ST 243Z campus students in Winter 2024? 8 9 Age when got first phone 10 11 12 Age (years) 13 14 15 8 9 Age when got first phone T 10 11 12 Age (years) T 13 T 14 T 15 1. In 1-3 sentences, describe the distribution of the sample, including shape, center, spread, context, and outliers (if relevant).
Suppose the mean IQ score of people in a certain country is 103. Suppose the director of a college obtains a simple random sample of 37 students from that country and finds the mean IQ is 107.4 with a standard deviation of 13.8. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho: H= 103 versus H: u> 103. Explain what the director is testing. Perform the test at the a = 0.01 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 103. B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 103. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 103. O D. The director is testing if the sample provided sufficient evidence that…
A statistician wishing to test a hypothesis that students score at most 75% on the final exam in an introductory statistics course decides to randomly select 20 students in the class and have them take the exam early. The average score of the 20 students on the exam is 72% and the standard deviation in the population is known to be = 15%. The statistician calculates the test statistic to be –0.8944. If the statistician chose to do a two-sided alternative, the P-value would be calculated by: a. finding the area to the right of –0.8944 and doubling it. b. finding the area to the left of –0.8944 and doubling it. c. finding the area to the right of the absolute value of –0.8944 and dividing it by two. d. finding the area to the left of –0.8944
You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.25. Thus you are performing a two-tailed test. Your sample data produce the test statistic z = 2.931. Find the p-value accurate to 4 decimal places. p-value =