3D17.8.9.10We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in biology is different from 528. So, we choose arandom sample of exam scores. The sample has a mean of 509 and a standard deviation of 75.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 13, and it is from a normally distributed population with a known standard deviation of 77.O= =0O t=O It is unclear which test statistic to use.(b) The sample has size 11, and it is from a normally distributed population with an unknown standard deviation.O==O It is undlear which test statistic to use.

Answered: We want to conduct a hypothesis test of…

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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See pictures for question D and E and (A, B and Cand was submitted on a different question. According to a report done by S & J Power, the mean lifetime of the light bulbs it manufactures is 44 months. A researcher for a consumer advocate group tests this by selecting 16 bulbs at random. For the bulbs in the sample, the mean lifetime is 47 months. It is known that the population standard deviation of the lifetimes is 5 months. Assume that the population is normally distributed. Can we conclude, at the 0.10 level of significance, that the population mean lifetime, μ, of light bulbs made by this manufacturer differs from 44 months? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below.
For the following dataset, you are interested to determine the "spread" of the data. Would you employ calculations for the sample standard deviation, or population standard deviation for this dataset: The weight of each apple in a shipment of 1000 apples.
Making sure that the scales used by businesses in the United States are accurate is the responsibility of the National Institute for Standards and Technology (NIST) in Washington, D.C. Suppose that NIST technicians are testing a scale by using a weight known to weigh exactly 1000 grams. The standard deviation for scale reading is known to be σ=3.0. They weigh this weight on the scale 54 times and read the result each time. The 54 scale readings have a sample mean of x=1001.0 grams. The calibration point is set too high if the mean scale reading is greater than 1000 grams. The technicians want to perform a hypothesis test to determine whether the calibration point is set too high. Use the α=0.05 level of significance and the P-value method with the TI-84 calculator. 1. Find the appropriate null and alternate hypotheses. 2.Find P-value 3.Determine whether to reject H0 ( reject or do not reject) 4.There (is/is not) enough evidence to conclude that the (calibraton point is set to…
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
The output below is for a t-test for the hypothesis: Individuals living in bad neighborhoods commit more crime than those living in good neighborhoods. The data in the Group Statistics section provides you with the average number of crimes committed by individuals living in good and bad neighborhoods and the standard deviation of this same variable. The findings of significance are located in the Independent Samples Test section. Pay particular attention to the "t" column and the "Sig (2-tailed)"column. The "t" column is the t value that you would have calculated by hand (as we learned in class). The "Sig (2-tailed)"column provides you with the p value (the level of significance of this relationship). In this column, any value below .05 indicates that you would have rejected your null hypothesis. 1. Can someone tell me about the relationship of all these data? I'm trying to determine if my hypothesis, listed below, can be proven or disproven? 2. What is the independent variable and…
Use the 5 step method and discuss type 1 and type 2 error. 2. A local bottler, Fossil Cove, wants to ensure that an average of 16 ounces of beer is used to fill each bottle. Ben takes a random sample of 48 bottles and finds the average weight to be 15.8 ounces Historically, the standard deviation has been 0.8 ounces. Alpha is .05.
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=51.3. You would like to be 98% confident that your estimate is within 10 of the true population mean. How large of a sample size is required?
You want to obtain a sample to estimate a population mean age. Based on previous evidence, you believe the population standard deviation is approximately o = 2.3 years. You would like to be 95% confident that your estimate is within 0.75 years of the true population mean. What is the smallest sample size you can use? The smallest possible sample has members.
Suppose that we want to estimate the mean reading speed of second graders. The random sample of students' reading speeds we choose has a mean of 29.8 words per minute and a standard deviation of 2.7 words per minute. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable having a standard normal distribution, and t refers to a variable having a t distribution.) Sampling Scenario Z t could use either Z or t unclear (1) The sample has size 95, and it is from a non-normally distributed population with a known standard deviation of 3.2. (2) The sample has size 19, and it is from a population with a distribution about which we know very little.
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1458 and the standard deviation was 312. The test scores of four students selected at random are 1860, 1220, 2150, and 1340. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1860 is (Round to two decimal plaes as needed.)
A rugby team from the country of Atlantis is formed by randomly drawing from its population. The population distribution is normally distributed with a mean of 165 cm and a standard deviation of 10 cm. The team draws 26 people for the team. Given a population mean of 165cm, how many standard deviations would a sample mean of 163cm be from the true value? Give your answer rounded to two decimal places.
The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 15 days.In what range would you expect to find the middle 95% of most pregnancies?Between and .If you were to draw samples of size 55 from this population, in what range would you expect to find the middle 95% of most averages for the lengths of pregnancies in the sample?Between and .

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