A public bus company official claims that the mean waiting time for Bus # 14 during peak hours is approximately 10 minutes. Karen took Bus # 14 during peak hours on 36 different occasions. Her mean waiting time was 8.7 minutes. Assume that the population standard deviation o of 2.9 minutes is known. At the 0.01 significance level, test if the mean of all the peak hours waiting time for Bus # 14 is significantly different from 10 minutes. Part I. Which of the following is the appropriate set of null and alternative hypotheses? [Select] A. Ho = 8.7 vs Ha: 8.7 8.7 C. Ho X = 10 vs Ha: X 10 D. Ho = 10 vs Ha: 10 Part II. What is the computed value of the test statistic? [Select] B. Ho : : X = 8.7 vs Ha: X

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Which of the following data sets has the smallest standard deviation?   a. 1, 2, 3, 4, 5   b. 100, 100, 100, 100, 100   c. 100, 101, 102, 103, 104   d. 2, 4, 6, 8, 10

The side-by-side dotplot below displays the arm spans, Which statement is NOT true? in centimeters, for two classes. The mean arm span appears to be similar for the two Arm Span (cm) Class A Class B classes. 8. 3 1 9 65 42 1 14 3 The arm spans for Class A have less variability than the arm spans for Class B. 5 6 0 22233 5 67 0 3 The arm spans for Class B have more variability than the arm spans for Class A. 16 99 5 16 The arm spans for Class A are roughly symmetric, while those for Class B are skewed left. 1 0 17 9965 17 320 18 0 12 6 6 18 6. 36 19 20 Key: 15|5 = 155 cm LO5 CO (ON7 O CO O C

Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is ? = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s = 2.7 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05. Solve the problem using the critical region method of testing (i.e., traditional method). (Round the your answers to three decimal places.)   test statistic =   critical value =   State your conclusion in the context of the application. Reject the null hypothesis, there is sufficient evidence that the average fish length is less than 19 inches.Reject the null hypothesis, there is insufficient evidence that the average fish length is less than 19 inches.    Fail to reject the null hypothesis, there is…

Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is ? = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 3.1 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05.   a) Estimate the P-value. select one:P-value > 0.0100.0010 < P-value < 0.010 0.250 < P-value < 0.00100.125 < P-value < 0.250P-value < 0.125 b) Sketch the sampling distribution and show the area corresponding to the P-value. c) will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we reject the null hypothesis and…

The length of time it takes for a worker to perform certain task (in minutes) was recorded for 10 workers. The resulting data values were the following: 5, 3, 11, 7, 6, 9, 4, 8, 7, 10 Find the mean, median, mode, range, variance and standard deviation. In the answers for the mean, variance, and standard deviation leave one digit after decimal point. a. Mean = d. Range = b. Median = e. Variance = c. Mode = f. Standard deviation =

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height converts to the z score of 5.17. How many standard deviations is his height above the​ mean?

The problem below asks you to compare 4 different forecasting methodologies to determine which forecasting model results in the most accurate forecasts.  Accuracy is determined by the lowest mean absolute deviation.   Emergency calls to the 911 system of Greenville County for the past 24 weeks are shown below.  Accurate forecasts are needed to determine the number of operators needed to staff the station.    Week # of Calls 1 50 2 35 3 25 4 40 5 45 6 35 7 20 8 30 9 35 10 20 11 15 12 40 13 55 14 35 15 25 16 55 17 55 18 40 19 35 20 60 21 75 22 50 23 40 24 65     1. EXPONENTIAL SMOOTHING Compute the forecasts using α = .2.  Calculate the MAD for weeks 4 through 24 only. Compute the forecasts using α = .6.  Calculate the MAD for weeks 4 through 24 only.   2. SIMPLE LINEAR REGRESSION Use all of the data, weeks 1 - 24, to calculate the…

Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is ? = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05. (a)What is the level of significance? =__   State the null and alternate hypotheses. A-H0: ? = 19 in; H1: ? ≠ 19 in B-H0: ? < 19 in; H1: ? = 19 in  C-H0: ? = 19 in; H1: ? < 19 in D-H0: ? = 19 in; H1: ? > 19 in E-H0: ? > 19 in; H1: ? = 19 in (b)What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. A-The Student's t, since the sample size is large and ? is known. B-The standard normal, since the sample size is large and ? is known. C-The…