A die is tossed 6l imes and the following frequencies are observed. 12 3 45 16 outcome Observed frequency 4 8 Using a x test, test at 5% level whether the die is fair.
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- Stress at work: In a poll about work, 51% of respondents said that their jobs were sometimes or always stressful. Eleven workers are chosen at random.What is the mean number who find their jobs stressful in a sample of 11 workers? Round the answer to two decimal places.A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible outcomes. Use a level of significance of αα = 0.01. Complete the rest of the table by filling in the expected frequencies (enter your answers in fraction form):Frequency of Dice Values Outcome Frequency Expected Frequency 1 21 2 15 3 22 4 6 5 29 6 27 What is the correct statistical test to use?Select an answer Paired t-test Independence Homogeneity Goodness-of-Fit What are the null and alternative hypotheses?H0:H0: The distribution of die rolls is not uniform. The die rolls are dependent. The die rolls are independent. The distribution of die rolls is uniform. H1:H1: The distribution of die rolls is uniform. The distribution of die rolls is not uniform. The die rolls are dependent. The die rolls are independent. The degrees of freedom = The test-statistic for this data = (Please show your answer to three decimal places.)…A gambler complained about the dice. They seemed to be loaded! The dice were taken off the table and tested one at a time. One die was rolled 300 times and the following frequencies were recorded. Outcome 1 2 3 4 5 6 Observed 64 45 62 32 47 50 frequency O A USE SALT Do these data indicate that the die is unbalanced? Use a 1% level of significance. Hint: If the die is balanced, all outcomes should have the same expected frequency. (a) What is the level of significance? State the null and alternate hypotheses. Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are the same. H,: The distributions are the same. O Ho: The distributions are different. H,: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Are all…
- Ramos has a spinning wheel. The Spining wheel has 18 blue numbers 18 white numbers and 2 yellow numbers the table provided shows the frequency with which the ball landed on each color in 200 trials. color blue frequency 18 white frequency 18 yellow frequency 2 . At the 5% significance level do the data suggest that the wheel is out of balance?you will need to compute the expected counts to do your calculations remember that the expected counts can be computed with the formula E = np, where n is the number of trials and P is the probability of each color.An experiment was conducted in which two fair dice were thrown 100 times. The sum of the dice was then recorded. The following frequency histogram gives the results. Sum of Two Dice 25 20 5 0 - 2 3 5 6 7 8 9 10 11 12 Value of Dice (a) What was the most outcome of the experiment?Blank 1 (b) What was the least frequent? Blank 2 (c) How many times did we observe a 7? Blank 3 (d) Determine the percentage of time a 7 was observed. Blank 4 (e) Describe the shape of the distribution (skewed left, skewed right, bell-shaped) Blank 5 Blank 1 Add your answer Blank 2 Add your answer Blank 3 Add your answer Blank 4 Add your answer tes remaining FrequencyPreform the indicated goodness-of-fit test. you roll a die 48 times with the following results. Use a significance level of 0.05 to test the claim that the die is fair. Number 1 2 3 4 5 6 Frequency 14 13 2 14 13 2
- You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 296 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.10. a. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency Lane 1 73 Lane 2 59 Lane 3 79 Lane 4 85 b. What is the correct statistical test to use? Select an answer < c. What are the null and alternative hypotheses? Ho: The traffic and lanes are independent. The distribution of traffic is not uniform. The distribution of traffic is uniform. The traffic and lanes are dependent. H1: The traffic and lanes are independent. O The distribution of traffic is uniform. The distribution of traffic is not uniform. The traffic and lanes are dependent.II. Identify the rejection region by following the steps in identifying the appropriate rejection region. n= 50, two-tailed test, 5% level of significanceYou want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 372 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.01. a. Complete the rest of the table by filling in the expected frequencies: of Cars in Each Lane Frequency Outcome Frequency Expected Frequency Lane 1 89 Lane 2 98 Lane 3 92 Lane 4 93 b. What is the correct statistical test to use? Select an answer Y C. What are the null and alternative hypotheses? Ho: OThe distribution of traffic is not uniform. O The traffic and lanes are independent. O The distribution of traffic is uniform. KO The traffic and lanes are dependent. Hi : OThe distribution of traffic is uniform. OThe traffic and lanes are independent. O The traffic and lanes are dependent. O The distribution of traffic is not uniform.