Use the given information to find the number of degrees of freedom, the critical values x? and x, and the confidence interval estimate of o. It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution. Nicotine in menthol cigarettes 80% confidence; n= 27, s = 0.23 mg. Click the icon to view the table of Chi-Square critical values. df = I(Type a whole number.) (Round to three decimal places as needed.) (Round to three decimal places as needed.) mg. The confidence interval estimate of o is mg

Assume that both populations are normally distributed. a) Test whether µ, > H, at the a = 0.10 level of significance for the given sample data. b) Construct a 90% confidence interval about u, - H2. Sample 1 Sample 2 n. 27 20 53 45.2 9.7 12.3 Click the icon to view the Student's t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: H1 H2 O B. Ho: H1 > H2, H1: H1 H2 Determine the test statistic. t= (Round to two decimal places as needed.) Approximate the P-value. Choose the correct answer below. O A. P-value <0.01 O B. 0.01 < P-value < 0.05 OC. 0.05 < P-value < 0.10 O D. P-value 2 0.10 Should the hypothesis be rejected at the a = 0.10 level of significance? V the null hypothesis because the P-value is the level of significance. b) The confidence interval is the range from to (Round to two decimal places as needed. Use ascending order.)

when we have a double bell curve, how ?can we get the average for each peak Or what is the correct way to measure the average in it 25 30 35 Particle Size (nm) 40 45 50 55 N Number of Particles 14- Particle Length

• The value of the test statistic is given by 1= • The p-value is the area under the curve to the right of the value of the test statistic. Student's t Distribution 0,4 + Step 1: Enter the number of degrees of freedom. 17 Step 2: Select one-tailed or two-tailed. 0.3+ O One-tailed O Two-tailed Step 3: Enter the test statistic. (Round to 3 decimal places.) 0.2+ 1.928 Step 4: Shade the area represented by the p-value. 0.1+ Step 5: Enter the p-value. (Round to 3 decimal places.) 0.0354 1= 1.928 (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by Ashley. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean number of cases directly generated ? by one previous case is greater than 2.6. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is…

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SAT math scores are normally distributed with the parameters below. μ=500σ=100μ=500σ=100 What is the probability a randomly selected score is more than 460 points                           ["", "", "", "", ""]            What score separates the lowest 20% of scores from the rest?

A study asked respondents, "If ever married, how old were you when you first married?" The results are summarized in the technology excerpt that follows. Complete parts (a) through (d) below. One-Sample T: AGEWED Mean Variable StDev SE Mean 95.0% CI AGEWED 26970 22.530 4.712 0.029 (22.474, 22.586) Click the icon to view the table of critical t-values. (a) Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval. x= 22.530 (Type an integer or a decimal. Do not round.) E= 0.056 (Type an integer or a decimal. Do not round.) (b) Interpret the confidence interval. A. One can be 95% confident that the mean age of people when first married is between 22.474 and 22.586 years. B. There is a 95% probability that the mean age of people when first married is between 22.474 and 22.586 years. C. There is a 95% probability that the mean age of people when first married is 22.530 years. D. One can be 95% confident that the mean age of…

Find the critical value(s) and rejection region(s) for the type of z-test with level of significance α. Include a graph with your answer. Two-tailed test, α = 0.09 The critical value(s) is/are z = (Round to two decimal places as needed. Use a comma to separate answers as needed.)

Testing: Ηο:μ = 40.2 H₁:μ ‡ 40.2 Your sample consists of 48 values, with a sample mean of 39.2. Suppose the population standard deviation is known to be 2.63. a) Calculate the value of the test statistic, rounded to 2 decimal places. z = b) At a = 0.03, the rejection region is Oz -2.17 or z > 2.17 Oz -1.88 or z> 1.88 Oz > 1.88 Oz > 2.17 Oz < -1.88 Oz < -2.17 c) The decision is to Accept the alternative hypotheis Fail to reject the null hypothesis Reject the null hypothesis Accept the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? Type I Type II