3. Suppose you are testingHo: µ = 62H1: µ + 62versuswhere o? is unknown and n = 14. The data come from a normal population. From yourdata, you calculate your test statistic value as -2.483.(a) Should you use z or t when finding a p-value for this scenario?(b) Calculate the p-value for this scenario.(c) What is the smallest level of significance (a value) such that we Reject Ho in thisscenario?

Answered: Image /qna-images/answer/4fa8c624-582f-475f-aea2-5ed3bd3cae02.jpg

Answered: 3. Suppose you are testing Ho: µ = 62…

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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According to shopper data, 97% of households purchase toilet paper. An analyst believes this is too low. To investigate, the analyst selects a random sample of 500 households and finds that 98% of them purchase toilet paper. Do these data provide convincing statistical evidence at the α = 0.05 level to conclude that the true proportion of all households that purchase toilet paper differs from 0.97? Complete the “State” step for this test. H0: p = Ha: p where p = the true proportion of all that .
ts: Following are weights in pounds for random samples of 16 newborn baby boys and baby girls born in Denver in 2011 . Box plots indicate that the samples come from populations that are approximately normal. Let μ1 denote the mean weight of boys. Can you conclude that the mean weight of boys is less than the mean weight of girls? Use the =α0.05 level and the P -value method with the TI-84 Plus calculator. do we recject is there enough evidence Boys 7.8 7.6 6.4 7.7 7.8 7.4 5.9 6.6 6.9 6.9 7.5 6.3 6.4 6.4 6.4 7.7 Girls 7.0 6.7 8.5 7.2 6.7 7.4 8.1 7.7 6.9 8.2 8.2 7.7 8.2 7.5 7.2 8.2
Use the following data to answer question 8 - 12. A number of studies have claimed evidence that the first-born in a family is, on the whole, more likely to be "successful" than later-borns. A study along this direction compared the IQs of a random sample of 80 first-borns with those of an independent random sample of 105 later-borns. The data are summarized below: Sample size Sample mean Sample SD First-borns 80 112 7.2 Later-borns 105 108 8.0
In the year 2000, the average car had a fuel economy of 22.74 MPG. You are curious as to whether this average is different from today. The hypotheses for this scenario are as follows: Null Hypothesis: µ = 22.74, Alternative Hypothesis: µ + 22.74. You %3D perform a one sample mean hypothesis test on a random sample of data and observe a p-value of 0.6901. What is the appropriate conclusion? Conclude at the 5% level of significance. 1) We did not find enough evidence to say the true average fuel economy today is greater than 22.74 MPG. 2) We did not find enough evidence to say the true average fuel economy today is less than 22.74 MPG. 3) The true average fuel economy today is significantly different from 22.74 MPG. 4) The true average fuel economy today is equal to 22.74 MPG. 5) We did not find enough evidence to say a significant difference exists between the true average fuel economy today and 22.74 MPG.
Suppose that we are testing H0: μ = μ0 versus H1: μ ≠ μ0. Calculate the P-value for the following observed values of the test statistic: (a) Z0 = 1.95 (b) Z0 = -0.10
A population has a mean of µ = 20. A sample is selected from this population and a treatment is administered to each individual in the sample. The scores from this sample are summarized as follows: n = 16 ,X = 28 ,s2 = 64. Do the sample data support the conclusion that the treatment has a significant effect? Test with α = .05.
You wish to test the following claim (Ha) at a significance level of a = 0.10. H.: µ1 – µ2 = 0 Ha: µ1 – µ2 > 0 You obtain a sample of size nị the first population. You obtain a sample of size of s2 = 54.9 and a standard deviation of s1 = 78 with a mean of 2 65 with a mean of x1 17.1 from 46.7 and a standard deviation n2 7.2 from the second population. You will need to determine whether or not to pool so you will use the correct df. What is the critical value for this test? Report answer accurate to three decimal places. critical value
A previous study showed to determine whether a sales tax on soda will reduce consumption of soda in the US below the current per-capita level of about 50 gallons of soda per year. Hypotheses Test is Ho: m(mue) =50 vs. Ha: m<50 where m (mue) represents the average annual consumption of soda in communities where the sales tax is implemented. (b) Now supposed sample results give a p-value of 0.41. Interpret this p-value in terms of random chance and in the context of taxes and soda consumption.
You wish to test Ho: μ₁ μ2 versus Ha:μ₁ μ₂ at a = = 0.10. You obtain a sample of size n₁ 1 = 58.2 and a standard deviation of $₁ = 20.9 from the first population. You obtain a sample 40.2 and a standard deviation of $2 = 5.6 from the second 9 with a mean of 2 a mean of of size n2 population. = = What is the test statistic? = = 6 with Assume that the data come from normal populations with equal variances. Round your answers to three decimal places, and round any interim calculations to four decimal places.
2. Suppose that we are testing Ho following observed values of the test (a) Zo= 2.45 (b) Zo= -1.53 = po versus H₁>po. Calculate the p-value for the statistic: (c) Zo= 2.15 (e) Zo= -0.35 (d) Zo = 1.95
Suppose you run a regression y=alpha + beta*x + u. You know that the model sum of squares equal 2998.9, residual sum of squares equals 571,612.8, and residual mean squares (MS) squals 412.41. What is the number of observations in your sample?
PLEASE ANSWER Z, P-VALUE TY!

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