You wish to test Ho:μ₁ = μ₂ versus Ha:μ₁ < μ2 at a = 0.01. You obtain a sample of size n₁ = 12 with a mean of 1 = 82.7 and a standard deviation of s₁ = 14.2 from the first population. You obtain a sample of size n₂ = 9 with a mean of 2 84.9 and a standard deviation of $2 = 20.1 from the second population. Assume that the populations are normal with equal variances. Do not round interim calculations. Round your final answers to three decimal places. (a). Find the test statistic: (b). Using your answer from (a), find the p-value: (c). You Select an answer the null hypothesis.

TF.17 The average number of UHD TVs sold daily at a Best Buy store is known to be 28 and approximately normally distributed. A random sample of 21 days shows sample mean x̄ = 31 with standard deviation s = 7.7. Test the hypothesis Ho : μ = 28 against Ha : μ ≠ 28 at α = 0.10 and at α = 0.05 levels of significance. Use t-distribution.

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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

You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly less than 0.69. Your sample data produce the test statistic z=−2.7788. Find the p-value accurate to 4 decimal places. H0:μ=25.365H1:μ>25.365Your sample consists of 37 subjects, with a mean of 25.8 and standard deviation of 4.07.Calculate the test statistic, rounded to 2 decimal places.

Question 3 A population of values has a normal distribution with u = 209.1 and o = 69.2. You intend to draw a random sample of size n 12. Find the probability that a single randomly selected value is greater than 215.1. P(X > 215.1) = Find the probability that a sample of size n = 12 is randomly selected with a mean greater than 215.1. P(M > 215.1) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Question Help: Video D Post to forum ICalculator Submit Question MacBook Pro

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.

You wish to test Ho: Md = 0 versus Ha:μd 0 at a significance level of 0.10. For the context of this problem, d = μ₂ μ₁ where the first data set represents a pre-test and the second data set represents a post-test. You obtain pre-test and post-test samples for na 25 subjects. The average difference (post-pre) is d 7 with a standard deviation of the differences of sd = 11.6. = Round your answers to three decimal places, and round any interim calculations to four decimal places. What is the test statistic? =

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.6 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 14 samples is 4.9 ppm with a variance of 1.2 Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal. Step 2 of 5 :   Find the value of the test statistic. Round your answer to three decimal places.

A nutritionist claims that the mean tuna consumption by a person is 3.8 pounds per year. A sample of 70 people shows that the mean tuna consumption by a person is 3.5 pounds per year. Assume the population standard deviation is 1.04 pounds. At α=0.09​, can you reject the​ claim?     ​(a) Identify the null hypothesis and alternative hypothesis.     A. H0​: μ=3.8 Ha​: μ≠3.8   B. H0​: μ≠3.5 Ha​: μ=3.5   C. H0​: μ>3.5 Ha​: μ≤3.5   D. H0​: μ>3.8 Ha​: μ≤3.8   E. H0​: μ≤3.5 Ha​: μ>3.5   F. H0​: μ≤3.8 Ha​:μ>3.8   b) Identify the standardized test statistic. z= ​(Round to two decimal places as​ needed.)   (c) Find the​ P-value.   (d) Decide whether to reject or fail to reject the null hypothesis.     A. Reject H0. There is not sufficient evidence to reject the claim that mean tuna consumption is equal to 3.8pounds.   B. Reject H0. There is sufficient evidence to reject the claim that mean tuna consumption is equal to…