**Transcription:**Use the following data to run a two-tailed t-test in R. Does the mean equal 3? State the appropriate null and alternative hypothesis.```> x[1] 2.698453 2.575547 3.344457 3.675068 3.490855 3.692199 2.693355 2.682515[9] 3.838997 2.377862 3.228593 2.243595 2.708181 2.133151 2.540468 3.818521[17] 2.890985 3.850087 2.552904 3.040451```**Explanation:**This prompt provides a sample dataset and asks the user to perform a two-tailed t-test to determine if the mean of the dataset is 3. The user is instructed to state both the null hypothesis (H0) and the alternative hypothesis (H1):- **Null Hypothesis (H0):** The true mean of the data is equal to 3.- **Alternative Hypothesis (H1):** The true mean of the data is not equal to 3.The dataset consists of 20 numerical values. The user would implement a two-tailed t-test using these values in R to assess whether there is a statistically significant difference from the hypothesized mean (3).

Test is that whether or not the mean is equal to 3.

Answered: Use the following data to run a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The table below lists leading digits of 317 inter-arrival Internet traffic times for a computer, along with the frequencies of leading digits expected with Benford's law. When using these data to test for goodness-of-fit with the distribution described by Benford's law, identify the null and alternative hypotheses. Leading Digit Benford's Law Leading Digits of Inter-Arrival Traffic Times 1 2 3 4 5 7 8 9. 30.1% 17.6% 12.5% 9.7% 7.9% 6.7% 5.8% 5.1% 4.6% 76 62 29 28 21 22 Choose the correct answer below. O A. Ho: At least one of the proportions is different from the others. H,: p, = 0.301 and p, = 0.176 and p3 = 0.125 and and pg = 0.046 O B. Ho: None of the proportions are equal to the given claimed value. H,: p, = 0.301 and p, = 0.176 and p3 = 0.125 and ... and pg = 0.046 O C. Ho: p, = 0.301 and p, = 0.176 and H,: None of the proportions are equal to the given claimed value. P3 = 0.125 and and pa = 0.046 O D. Ho: p, = 0.301 and p, = 0.176 and p3 = 0.125 and and = 0.046 ... H4: At least…
The following hypotheses are given to determine an One-Tail testing. H0: p≤0 Ha: p >0 A random sample of 10 paired observations indicated a correlation (r) of .35. Can we conclude that the correlation in the population is greater than zero by performing the t-statistic? By using the .05 significance level, what is the p-value or critial value?____________ What is your decision regarding Ho or the null hypothosis? The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost of the flight. It seems logical that more passengers on the flight will result in more weight and more luaggage, which in turn will result in higher fuel costs. For a sample of 13 flights, the correlation between the number of passengers and total fuel cost was .37. Is it reasonable to conclude that there is positive association in the population between the two variables? H0: p≤0 Ha: p >0 The…
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K In a random sample of males, it was found that 23 write with their left hands and 212 do not. In a random sample of females, it was found that 58 write with their left hands and 442 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ P2 H₁: P₁ P2 O D. Ho: P₁ P2 H₁: P₁ P2 Z= OB. Ho: P1 P2 H₁: P₁ P2 Identify the test statistic. -0 (Round to two decimal places as needed.) Identify the P-value. OE Ho: P1 H₁: P₁ The P-value is hypothesis. There P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? P₂ P₂ OC. Ho: P₁ SP2 H₁: P₁ P₂ OF. Ho: P1 P2 H₁: P₁ P2 the significance level of a = 0.05, so Because…
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3
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COMPUTE the standard error of the mean?
Determine the critical value(s) for a one-mean z-test. Draw a graph that illustrates your answer. A left-tailed test with a = 0.03. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. The critical value(s) is (are) (Round to two decimal places as needed. Use a comma to separate answers as needed.) Choose the correct graph of the hypothesis test below. O A. O B. Reject Ho 0.015 Do not reject Ho 0.985 Rej. Ho 0.03 Do not reject Ho 0.94 T 0 Rej. Ho Q 0.03 /₂0 O C. Do not reject Ho W 0.97 Reject Ho 0.03

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