In an attempt to increase sales, a breakfast cereal company decides to offer a promotion. Each box of cereal will contain a collectible card featuring one NASCAR driver: Kyle Busch; Dale Earnhardt, Jr.; Kasey Kahne; Danica Patrick; or Jimmie Johnson. The company says that each of the 5 cards is equally likely to appear in the 100,000 boxes of cereal that are part of this promotion. You buy 12 boxes and let X = the number of Kyle Busch cards in the sample. Calculate the mean and standard deviation of the sampling distribution of X.

Directions: Choose the best answer to each question.

1. Eva lives in Wyoming which has a general state sales tax on purchases. If Eva buys a car for $18,000, how much money will she pay in sales tax? A.$180 B. $900 C.$1,800 D. Not enough information is given.

Complete with an appropriate word.

1. Después de las clases, los alumnos _________ a casa.

2. No toman el bus escolar. Van ____________________.

3. Su casa no está lejos de la escuela. Está ________________.

4. En la tienda él paga en la ____________________.El paga con _____________________.

5. Ella usa ______________ cuando navega ______________________.

6. El no usa el teléfono. Usa ____________ su cuando habla con sus amigos.

Indicate which of the following situations involve sampling from a finite population and which involve sampling from an infinite population. In cases where the sampled population is finite, describe how you would construct a frame.

Obtain a sample of students in a statistics course at Indiana University.

The following situations relate to Bolivia Company.

1. Bolivia provides a warranty with all its products it sells. It estimates that it will sell 1,000,000 units of its product for the year ended December 31, 2020, and that its total revenue for the product will be $100,000,000. It also estimates that 60% of the product will have no defects, 30% will have major defects, and 10% will have minor defects. The cost of a minor defect is estimated to be$5 for each product sold, and the cost for a major defect cost is $15. The company also estimates that the minimum amount of warranty expense will be$2,000,000 and the maximum will be $10,000,000.

2. Bolivia is involved in a tax dispute with the tax authorities. The most likely outcome of this dispute is that Bolivia will lose and have to pay$400,000. The minimum it will lose is $20,000 and the max- imum is$2,500,000.

Prepare the journal entry to record provisions, if any, for Bolivia at December 31, 2020,

$$\text { Prove that } Z [ x ] \text { is not a principal ideal domain. }$$

A researcher reports that 80% of high school graduates, but only 40% of high school dropouts, would pass a basic literacy test. Assume that the researcher's claim is true. Suppose we give a basic literacy test to a random sample of 60 high school graduates and a separate random sample of 75 high school dropouts. Let $\hat{p}_{1}$ and $\hat{p}_{2}$ be the sample proportions of graduates and dropouts, respectively, who pass the test. Find the mean of the sampling distribution.

To stimulate the sales of its Alladin breakfast cereal, Loptien Company places 1 coupon in each box. Five coupons are redeemable for a premium consisting of a children’s hand puppet. In 2018, the company purchases 40,000 puppets at $1.50 each and sells 480,000 boxes of Alladin at$3.75 a box. From its experience with other similar premium offers, the company estimates that 40% of the coupons issued will be mailed back for redemption. During 2018, 115,000 coupons are presented for redemption.

Prepare the journal entries that should be recorded in 2018 relative to the premium plan.

Eleven percent of students at a large high school are left-handed. A statistics teacher selects a random sample of 100 students and records X = the number of left-handed students in the sample. Calculate the mean and standard deviation of the sampling distribution of X.

In a large city, 34% of residents use public transportation at least once per week. Suppose the city's mayor selects a random sample of 200 residents. Let T= the number who use public transportation at least once per week. Explain why T can be approximated by a Normal distribution.

Indicate which of the following situations involve sampling from a finite population and which involve sampling from an infinite population. In cases where the sampled population is finite, describe how you would construct a frame.

Obtain a sample of the orders that are processed by a mail-order firm.

In the United States, 20% of adults ages 25 and older have never been married, more than double the figure recorded for 1960. Select a random sample of 50 U.S. adults ages 25 and older and let Y = the number of individuals in the sample who have never married. Calculate the mean and standard deviation of the sampling distribution of Y.

Indicate which of the following situations involve sampling from a finite population and which involve sampling from an infinite population. In cases where the sampled population is finite, describe how you would construct a frame.

Obtain a sample of licensed drivers in the state of New York.

The makers of a diet cola claim that its taste is indistinguishable from the taste of the full-calorie version of the same cola. To investigate, a statistics student named Emily prepared small samples of each type of soda in identical cups. Then she had volunteers taste each cola in random order and try to identify which was the diet cola and which was the regular cola. If we assume that the volunteers couldn't tell the difference, each one was guessing, with a 1/2 chance of being correct. Let X= the number of volunteers who correctly identify the colas. Of the 30 volunteers, 23 made correct identifications.

Based on the observed result and your answer to the previous part, do the data give convincing evidence that the volunteers can taste the difference between the diet and regular colas?