What is the Pvalue? A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 25.7 and the sample standard deviation is found to be s = 6.3.Determine if the population mean is different from 24 at the α = 0.01 level of significance. Complete parts (a) through (d) below.(a) Determine the null and alternative hypotheses.Ho: PH₁: μ(b) Calculate the P-value.= 24#24P-value =(Round to three decimal places as needed.)

Mean(x)=25.7 standard deviation(s)=6.3 sample size(n)=15 significance level(α)=0.01 The claim is…

Answered: A simple random sample of size n = 15…

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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The null and alternate hypotheses are:H0: μ₁ = μ2H1: μ₁ ≠ μ2 A random sample of 10 observations from one population revealed a sample mean of 26 and a sample standard deviation of 5.0. A random sample of 8 observations from another population revealed a sample mean of 30 and a sample standard deviation of 6.0. The population standard deviations are unknown but assumed to be equal. At the 0.01 significance level, is there a difference between the population means?
Assume we wanted to show that the true proportion of virginica iris seeds that fail to germinate is less than 20%. Let's say we tested at an alpha of 0.05, and found a p-vale of 0.082. Which of the following would be an appropriate conclusion and interpretation? A) With an alpha of 0.05, and a p-value of 0.082, we fail to reject the null and state we have insufficient evidence to support that the true proportion of virginica iris seeds that fail to germinate is less than 20%. B) With an alpha of 0.05, and a p-value of 0.0082, we reject the null and state we have sufficient evidence to support that the true proportion of virginica iris seeds that fail to germinate is less than 20%. C) With an alpha of 0.05, and a p-value of 0.082, we reject the null and state we have sufficient evidence to support that the true proportion of virginica iris seeds that fail to germinate is less than 20%. D) With an alpha of 0.05, and a p-value of 0.082, we fail to reject the null and state…
Find the critical value t alpha/2. 99%; n=17; standard deviation is unknown; population appears to be normally distributed.
From a random sample of 100 households in a local community, observed counts are shown in the table. The expected counts are from national data. Complete the table. (Enter: Calculated Chi Sq to three decimal places. (enter the critical Chi Sq exactly as in the tables) At alpha=5%, should the null hypothesis be rejected? Children per household 0 1 2 3 or more Observed 25 30 35 10 Expected 18 25 39 18 Calculated Chi Sq _____ Degrees of freedom _____ Tabulated Chi Sq _____ Reject? Y or N _____
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with ? = 0.32 and that x = 5.21. (Use ? = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5?State the appropriate null and alternative hypotheses. H0: ? = 5.5Ha: ? ≠ 5.5H0: ? = 5.5Ha: ? ≥ 5.5 H0: ? = 5.5Ha: ? < 5.5H0: ? = 5.5Ha: ? > 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage.Reject the null hypothesis. There is sufficient evidence…
.A sample of 9 measurements, randomly selected from a normally distributed population, resulted in x= 2.6, and s= 0.9 Conduct a hypothesis test to verify the claim that the population mean is greater than 2.5 . Use a=.05
A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows: 105.6 90.9 91.2 96.9 96.5 91.3 100.1 105.5 99.6 107.7 103.3 92.4 Does this data suggest that the population mean reading under these conditions differ from 100? (a) State the null and alternative hypotheses. (b) Calculate, correct to 2 decimal places, (i) the sample mean, x ; and (ii) the sample standard deviation, s. (c) Evaluate the appropriate test statistic. (d) Test these hypotheses at   0.05 level of significance.
A sample of n=30n=30 data values randomly collected from a normally distributed population has standard deviation s=1.1s=1.1. We wish to test the null hypothesis H0:σ=1.6H0:σ=1.6 against the alternative hypothesis H1:σ≠1.6H1:σ≠1.6 at a significance of α=0.05α=0.05. What is the value of the test statistic? Write your answer rounded to 3 decimal places. What are the critical values? Write your answers rounded to 3 decimal places.Lower CV: Upper CV: Do we reject the null hypothesis? We reject the null hypothesis. We fail to reject the null hypothesis.
Using the information provided in the SPSS output. You are asked to make a decision about whether to reject the null hypothesis that the population value of gamma equals 0 (i.e., that there is no ordinary association in the population between frequency of prayer and health). If alpha = 0.05 and you use a non-directional alternative hypothesis, which of the following is true?) A. Since the p-value is larger than alpha, you do not reject the null hypothesis B. Since the p-value is less than alpha, you do not reject the null hypothesis C. Since the p-value is larger than alpha, you reject the null hypothesis. D. Since the p-value is less than alpha, you reject the null hypothesis
Assume that you have a sample of n1=8, with the sample mean X1=46, and a sample standard deviation of S1=6, and you have an independent sample of n2=6 from another population with a sample mean of X2=37 and the sample standard deviation S2=5. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that μ1>μ2? Determine the hypotheses. Choose the correct answer below. A. H0: μ1≤μ2 H1: μ1>μ2 Your answer is correct. B. H0: μ1>μ2 H1: μ1≤μ2 C. H0: μ1≠μ2 H1: μ1=μ2 D. H0: μ1=μ2 H1: μ1≠μ2 Find the test statistic. tSTAT=
Arandom sample of 450 observations produced a sample proportion equal to 0.38. Find the critical and observed values of z for the following test of hypotheses using alpha = 0.025 . H 0 :p=0.30 versus H 1 :p not equal to 0.30
A sample of n=25n=25 data values randomly collected from a normally distributed population has standard deviation s=2.1s=2.1. We wish to test the null hypothesis H0:σ=1.5H0:σ=1.5 against the alternative hypothesis H1:σ>1.5H1:σ>1.5 at a significance of α=0.01α=0.01. What is the value of the test statistic? Write your answer rounded to 3 decimal places. What is the critical value? Write your answer rounded to 3 decimal places.

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