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 frequency O 61 45 66 34 43 51 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.

The number of cancer cases by smoking status is shown in below table is a sample of randomly selected individuals. These figures will give an odds ratio of: Smoking status Smoker Non-smoker Lung cancer With cancer Without cancer 40 25 20 20 50

Suppose a random sample of 1389 Californians who own their own homes were surveyed. The table below shows the results of the survey Observed Frequencies of Political Affiliation from the Sample Outcome Observed Frequency Democrat Republican Independent/Other 361 597 431 The second column of the table below shows the distribution of political affiliation for the entire population of California voters. Fill in the expected frequencies. Round to two decimal places, if necessary. Frequencies of Political Affiliation Expected Percent Outcome Expected Frequency Democrat 40 Republican 32 Independent/Other 28

A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing cars are randomly selected, what is the probability that the sample mean would be greater than 101.5 gallons? Round your answer to four decimal places.

Suppose a random sample of 824 athletes from the college are asked what their major is. The table below shows the results of the survey. Observed Frequencies of Majors from the Sample Outcome Observed Frequency Math/Science 185 Arts & Humanities 206 Business & Economics 264 Other 169 The distribution of majors at the college is shown in the second column of the table below.   Fill in the expected frequencies.  (Round to the nearest whole number). Frequencies of Majors at the College Outcome Expected Percent Expected Frequency Math/Science 24   Arts & Humanities 22   Business & Economics 21   Other 33

If you were to draw 15 random samples of 100 residents in a city you may get 15 different mean values simply by chance. These expected differences across samples may be defined as: a. a statistical effect b. sampling error c. random error d. probability

The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = .17 and a simple random sample of 800 households will be selected from the population. What is the random variable in this narrative?

The expected relative frequency of a particular outcome is?

In a recent issue of the IEEE Spectrum, 84 engineering conferences were announced. Four conferences lasted two days. Thirty-six lasted three days. Eighteen lasted four days. Nineteen lasted five days. Four lasted six days. One lasted seven days. One lasted eight days. One lasted nine days. Let X = the length (in days) of an engineering conference. Find the median, the first quartile, and the third quartile. O a. 5, 3,7 O b.4, 2, 6 O c. 4, 3,5 O d.5, 2, 8

The manager of Lawn and Garden Services would like to estimate the proportion of her employees' time spent performing various gardening and lawn care activities. She has made 400 random observations of a typical worker, with the following results: ET Activity Time Observed Mowing 200 Trimming 80 Raking 40 Miscellaneous 80 What is the probability that the true proportion of time spent mowing is exactly equal to the sample proportion? Multiple Choice 1 .1 .5 .2