1) Sampling Distribution for Sample Variancesa) A cell phone manufacturer wants to advertise their new extended-life batteries. They believethe lifetimes are normally distributed with o = 1.15 hr. A test engineer takes a sample of 10batteries and calculates a sample standard deviation of 1.3 hr. Can the manufacturerconfidently advertise the standard deviation in the lifetime of their new batteries? Usecritical values of X1.95 and X3.05 (a 90% window).i)Find the value of the test statistic for this sample and the two critical values.ii)2X0.95 =YESx² =Can the manufacturer confidently advertise the standard deviation in the lifetime oftheir new batteries? Circle YES or NO and briefly explain your answer.NOX0.05 =

n=10 sample sizeσ=1.15 Popuation standard deviation s=1.3 Sample standard deviation C=0.90…

Answered: 1) Sampling Distribution for Sample…

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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H0 : =150.00 kPa H1 :>150.00 kPa b) α= 0.01; sample variance : 1300 freq. table sample deviation : 36.0555 freq. table
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A population has parameters u = 189.5 and o = 61.9. You intend to draw a random sample of size n = 113. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.)
An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.4 minutes. A random sample of 35 dive durations has a mean of 12.4 minutes and a standard deviation of 2.1 minutes. At a = 0.05 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state Ho and H3- Họ: H3: (Type integers or decimals. Do not round.) The claim is the hypothesis.
In the year 2033, Sarai Patterson is a leading traveling nurse. Sarai is interested in reducing the mean recovery time for patients after experiencing a serious injury (assume recovery times are normally distributed). Suppose the mean recovery time is presently 8.6 months. Sarai takes a random sample of 46 patients that have experienced serious injury to participate in a new treatment program and finds the sample mean is 8.1 months and a sample standard deviation of 1.2 months. Using α = 0.05, answer the following questions. a) What is the setup for your null and alternative hypothesis? b) What is the value of the test statistic? c) What is/are the critical value(s)?
Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) to (c) below. Reduction in Pain Level After Magnet Treatment (μ1): n=29, x=0.58, s=0.95 Reduction in Pain Level After Sham Treatment (μ2): n=29, x=0.48, s=1.56 Question content area bottom Part 1 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? A. H0: μ1≠μ2 H1: μ1<μ2 B. H0: μ1<μ2 H1:…
Part Variability is critical in the manufacturing of the ball bearings. Large variances in the size of the ball bearings cause bearing failure and rapid wear out. Production standards call for a maximum variance of .0001 when the bearing sizes are measured in inches. A sample of 15 bearings shows a sample standard deviation of .014. a. Compute the 90% confidence interval estimate of the variance of the ball bearings in the population. b. Use a= 0.10 to determine whether the sample indicates that the maximum acceptable variance is being exceeded. Use critical value approach. ( Note: You must state null and alternative hypotheses, compute the test statistic, Report the critical Value, and draw a conclusion.
Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 21 minutes and a standard deviation of 5 minutes, while method B has a mean of 25 minutes and a standard deviation of 25 minutes. (a) Which procedure is preferred if the procedure must be completed within 23 minutes? O Method A O Method B O Either Method (b) Which procedure is preferred if the procedure must be completed within 32.0 minutes? O Method A O Method B O Either Method (c) Which procedure is preferred if the procedure must be completed within 29 minutes? OMethod A O Method B O Either Method Next Prey 19 of 19 here to search op t9 144 14 ou ts 47 47 to 40 16 is 券

A population has parameters μ = n = 191. 49.2 and o= = 55.3. You intend to draw a random sample of size What is the mean of the distribution of sample means? fx = What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) Ox =
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Colonial Funds claims to have a bond fund that has maintained a mean share price of $⁢10.00. They claim that the variance of the share price is 0.18. To test this claim, the investor randomly selects 29 days during the last year. He finds an average share price of $⁢9.80 with a standard deviation of 0.4006. Can the investor conclude that the share price of the bond fund varies from Colonial Funds claims at α=0.05? Step 1 of 5 : State of the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5 : Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5 : Make the decision. Step 5 of 5 : What is the conclusion?

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