In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and April are recorded below. Weather Station 1 2 3 4 5 January 139 120 128 64 78 April 108 113 102 88 61   Does this information indicate that the peak wind gusts are higher in January than in April? Use ? = 0.01. (Let d = January − April.) (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: ?d > 0; H1: ?d = 0; right-tailedH0: ?d = 0; H1: ?d ≠ 0; two-tailed    H0: ?d = 0; H1: ?d < 0; left-tailedH0: ?d = 0; H1: ?d > 0; right-tailed (b) What sampling distribution will you use? What assumptions are you making? The Student's t. We assume that d has an approximately uniform distribution.The standard normal. We assume that d has an approximately normal distribution.    The Student's t. We assume that d has an approximately normal distribution.The standard normal. We assume that d has an approximately uniform distribution. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the P-value. P-value > 0.2500.125 < P-value < 0.250    0.050 < P-value < 0.1250.025 < P-value < 0.0500.005 < P-value < 0.025P-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value.         (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.    At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. (e) State your conclusion in the context of the application. Fail to reject the null hypothesis, there is insufficient evidence to claim average peak wind gusts are higher in January.Reject the null hypothesis, there is insufficient evidence to claim average peak wind gusts are higher in January.    Reject the null hypothesis, there is sufficient evidence to claim average peak wind gusts are higher in January.Fail to reject the null hypothesis, there is sufficient evidence to claim average peak wind gusts are higher in January.

Another measure of central tendency that is rarely used but is easy to calculate is the midrange. It can be found using the formula below. A consumer testing service obtained the mileages (in miles per gallon) shown in the table to the right in five test runs performed with three types of compact cars. Each car manufacturer wants to advertize that its car performed the best in this test. Which of the car manufacturers of cars A, B, and C would prefer to use the midrange statistic in their ads? Explain your reasoning. Car MPG A B 28 33 31 31 31 34 28 33 17 29 18 34 (Maximum data entry) + (Minimum data entry) Midrange = 35 33 32 2 The manufacturer of would prefer to use the midrange, since their car's midrange of mpg is the of the three models. (Type an integer or a decimal.)

How hot does it get in Death Valley? Assume that the following data are taken from a study conducted by the National Park System, of which Death Valley is a unit. The ground temperatures (°F) were taken from May to November in the vicinity of Furnace Creek. Compute the median for these ground temperatures. Round your answer to the nearest tenth. 147 152 166 171 188 179 187 188 179 179 166 ​165 152 143 Group of answer choices 159.0 187.5 166.0 337.0 168.5

please answer question 2

Which of these choices below would be the best choice to address such errors of measurement?  a. Broaden the range (i.e., spread) between the control limits. b. Reduce the range between the specification limits. c. Reduce the spread between the control limits. d. Broaden the range between the specification limits. Choices c, and d are true (i.e., reduce the spread between the control limits and broaden the range between the specification limits).

How hot does it get in Death Valley? Assume that the following data are taken from a study conducted by the National Park System, of which Death Valley is a unit. The ground temperatures (°F) were taken from May to November in the vicinity of Furnace Creek. Compute the median for these ground temperatures. Round your answer to the nearest tenth. 146 194 343.0 O 171.5 151 178 188.5 169.0 160.0 169 178 174 169 194 164 178 151 183 142

Please answer the question in the photo. TY!

If too large a scale is used on a graph, it can be misleading when trying to interpret the data. O True O False

A sample of human brain volumes ​(cm3​) is given below. Use the given data values to identify the corresponding z scores that are used for a normal quantile​ plot,then identify the coordinates of each point in the normal quantile plot.  a. List the z scores for the normal quantile plot. ​(Round to two decimal places as needed. Use ascending​ order.) b. Identify the coordinates of each point in the normal quantile plot. Use ordered pairs for the form​ (x,y), where x is the sorted human brain volumes in ascending​ order, and y is the corresponding z score. ​(Round to two decimal places as needed. Use ascending​ order.)

Another measure of central tendency that is rarely used but is easy to calculate is the midrange. It can be found using the formula below. A consumer testing service obtained the mileages (in miles per gallon) shown in the table to the right in five test runs performed with three types of compact cars. Each car manufacturer wants to advertize that its car performed the best in this test. Which of the car manufacturers of cars A, B, and C would prefer to use the midrange statistic in their ads? Explain your reasoning. Midrange= (Maximum data entry) + (Minimum data entry) 2 A 28 33 The manufacturer of (Type an integer or a decimal.) 28 29 35 Car MPG B 32 30 32 25 32 ... C 30 33 24 33 31 would prefer to use the midrange, since their car's midrange of mpg is the of the three models.