Statistics and Probability Answers

Find the range, variance, and standard deviation unless the question asks for something different.

Passenger Vehicle Deaths. The number of people killed in each state from passenger vehicle

crashes for a specific year is shown

778 309 1110 324 705

1067 826 76 205 152

218 492 65 186 712

193 262 452 875 82

730 1185 2707 1279 390

305 123 948 343 602

69 451 951 104 985

155 450 2080 565 875

414 981 2786 82 793

214 130 396 620 797

Find (a) the mean, (b) the median, (c) the mode, and (d) the midrange.

Observers in the Frogwatch Program. The number of observers in the Frogwatch USA

program (a wildlife conservation program dedicated to helping conserve frogs and toads) for the

top 10 states with the most observers is 484, 483, 422, 396, 378, 352, 338, 331, 318, and 302. The

top 10 states with the most active watchers list these numbers of visits: 634, 464, 406, 267, 219,

194, 191, 150, 130, and 114. Compare the measures of central tendency for these two groups of

data

A. Find (a) the mean, (b) the median, (c) the mode, and (d) the midrange.

High Temperatures. The reported high temperatures (in degrees Fahrenheit) for selected world

cities on an October day are shown below. Which measure of central tendency do you think best

describes these data?

62 42

76 38

66 91

79 66

83 77

61 90

62 74

85 63

72 64

64 68

74 42

71

Find (a) the mean, (b) the median, (c) the mode, and (d) the midrange.

Grade Point Averages. The average undergraduate grade point average (GPA) for the 25

top-ranked medical schools is listed below

3.80 3.77 3.70 3.74 3.70

3.86 3.76 3.68 3.67 3.57

3.83 3.70 3.80 3.74 3.67

3.78 3.74 3.73 3.65 3.66

3.75 3.64 3.78 3.73 3.64

Suppose the mean amount of cholesterol in eggs labeled “large” is 186 milligrams, with a standard deviation of 7 milligrams. Find the probability that the mean amount of cholesterol in a sample of 144 eggs will be within 2 milligrams of the population mean.

An auto battery company claims that their batteries' mean life is 50 months. In order to check this cla, a DTI researcher took a random sample 18 of these batteries and found that the mean life is 48.8 months with standard deviation of 7 months. Aasume the battery life follows a normal destribution, test with 90% confidence wether the companies'claim is different from the true mean.

1. The mean lifetime of a sample of 100 light bulbs produced by a certain company is found to be 1580 hours. Test the hypothesis at 5% level of significance that the mean lifetime of the light bulbs produced by the company is 1,600 hours with sd of 90 hours.

I have 6 colors which is Blue, Red, Yellow, Orange, And Green and each of them is equal to each other, so now what is the propability that i will get red?

2. The mathematics teacher claims that the mean IQ of Statistics students is 110 with standard deviation of 12. The mean IQ of 28 randomly selected Statistics students is 112. Test the difference of the population and sample means at 5% level of significance.

What is the t value of the distribution with a= 1% and n=8 under the one tailed distribution