The data presented in the table below resulted from an experiment in which seeds of 5 different types were planted and the number of seeds that germinated within 5 weeks after planting was recorded for each seed type. At the .01 level of significance, is the proportion of seeds that germinate dependent on the seed type?
A company operates four machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.
An investor wants to compare the risks associated with two different stocks. One way to measure the risk of a given stock is to measure the variation in the stock’s daily price changes.
In an effort to test the claim that the variance in the daily stock price changes for stock 1 is different from the variance in the daily stock price changes for stock 2, the investor obtains a random sample of 21 daily price changes for stock 1 and 21 daily price changes for stock 2.
The summary statistics associated with these samples are: n 1 = 21, s 1 = .725, n 2 = 21, s 2 = .529.
If you compute the test value by placing the larger variance in the numerator, at the .05 level of significance, would you conclude that the risks associated with these two stocks are different?
Two independent samples of sizes n 1 = 50 and n 2 = 50 are randomly selected from two populations to test the difference between the population means, . The sampling distribution of the sample mean difference, is:
Suppose that the mean time for a certain car to go from 0 to 60 miles per hour was 7.7 seconds. Suppose that you want to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer than 7.7 seconds. What would you use for the alternative hypothesis?
The average height of flowering cherry trees in a nursery is 11 feet. If the heights are normally distributed with a standard deviation of 1.6, find the probability that a randomly selected cherry tree in this nursery is less than 13 feet tall.
A researcher surveyed college students to study their opinion about the proposed change in smoking rules. The researcher asked a group of 30 students: 12 of them supported the change, 13 of them did not, and 5 had no opinion. This is not a binomial model because…
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
A sport preference poll yielded the following data for men and women. Use a 5% significance level and test to determine if sport preference and gender are independent.
Sport Preferences of Men and Women
Basketball
Football
Soccer
Men
20
25
30
75
Women
18
12
15
45
38
37
45
120
What is the test value for this hypothesis test?
Answer: [removed] Round your answer to two decimal places.
What is the critical value for this hypothesis test?
Answer: [removed] Round your answer to two decimal places.
What is the conclusion for this hypothesis test? Choose one.
1. There is sufficient evidence to support the claim that one’s sport preference is dependent on one’s gender. 2. There is not sufficient evidence to support the claim that one’s sport preference is dependent on one’s gender.
