35 question in applied statistics , want an answer in words ( explain every answer )

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Test Redemption Points: All questions must be attempted (with a good attempt!) to receive any credit! You must show all of your work to receive credit for any answer, if you used your calculator explain the steps you took in your calculator to obtain your response.

1. State the null and alternative hypotheses. A customer service center claims the mean time a customer is on hold is less than 2 minutes.

2. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. H0: p = 0.43 H1: p > 0.43

3. You are testing the claim that the mean cost of a new car is more than $25,200. How should you interpret a decision that rejects the null hypothesis?

4. Determine the test statistic for the following situation: H0: p = 0.23 versus H1: p ≠ 0.23; n = 200; x = 52

5. Suppose we are testing the hypotheses H0: μ = 152 versus H1: μ > 152 and we find the P-value to be 0.0125. You would reject the null hypothesis at the α = 0.05 level of significance.

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6. To test H0: μ = 48 versus H1: μ ≠ 48 at the α = 0.05 level of significance, a researcher finds a 95% confidence interval about μ is (46.40, 49.20). Will the researcher reject the null hypothesis?

7. Determine 𝝁𝝁𝒙𝒙� and 𝝈𝝈𝒙𝒙� from the given parameters of the population and the sample size. μ = 84 σ = 12 n = 30

8. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the

probability a random sample of 20 people have a mean IQ score greater than 110?

9. Home sizes in Anytown, USA have a mean of 2400 square feet and a standard deviation of 450 square feet. What is the probability that a random sample of 50 homes in Anytown, USA has a mean square footage less than 2200 square feet?

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10. A survey of 500 adults aged 18 – 29 showed 285 ate fast food for dinner at least once in the past week. Find the sample proportion of individuals surveyed who ate fast food for dinner at least once in the past week.

11. Determine 𝝁𝝁𝒑𝒑� and 𝝈𝝈𝒑𝒑� from the given parameters. Assume the size of the population is 25,000. n = 200 p = 0.75

12. Sixteen percent of Americans do not have health insurance. Suppose a simple random sample of 500 Americans is obtained. In a random sample of 500 Americans, what is the probability that more than 20% do not have health insurance?

13. Determine whether the random variable is discrete or continuous. The number of songs on an MP3 player

14. Determine the required value of the missing probability to make the distribution a discrete probability distribution.

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15. x represents the number of computers in a household.

Find the mean and standard deviation.

16. Which of the following probability experiments represents a binomial experiment? Explain your choice. a. Asking 50 adults the amount of their last cell phone bill b. Asking 10 prisoners the number of crimes for which they were convicted c. Asking 20 students the name of their favorite television show d. Asking 30 homeowners if they would favor a new tax to support education

17. Forty-three percent of marriages end in divorce. You randomly select 15 married couples. Find the mean number of marriages that will end in divorce. Also, find the probability exactly 5 of the marriages will end in divorce.

18. The mean number of customers arriving at a bank during a 15-minute period is 10. Find the probability that exactly 8 customers will arrive at the bank during a 15-minute period.

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19. Find the least squares regression line for temperature (x) and number of ice cream cones sold per hour (y). Predict the number of ice cream cones sold per hour when the temperature is 88º, and would be reasonable to use the least squares regression line to predict the number of ice cream cones sold when it is 50 degrees.

20. Calculate and explain the linear correlation coefficient r, and the coefficient of determination r2, for temperature (x) and number of ice cream cones sold per hour (y).

21. What percentage people said television was their favorite pastime?

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22. Does the following represent a probability model. Explain your answer.

23. A box contains 6 twenty-five-watt light bulbs, 9 sixty-watt light bulbs, and 5 hundred-watt light bulbs. What is the probability a randomly selected light bulb is sixty-watts?

24. The data shows the distance employees of a company travel to work. One of these employees is randomly selected. Determine the probability the employee travels between 10 and 29 miles to work.

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25. The table shows the favorite pizza topping for a sample of students.

a. One of these students is selected at random. Find the probability the student is female or prefers sausage.

b. What is the probability that a randomly selected student who was male preferred pepperoni?

26. Forty-four percent of college students have engaged in binge drinking. If two college students are randomly selected, what is the probability that both have engaged in binge drinking?

27. Forty-four percent of college students have engaged in binge drinking. If five college students are randomly selected, what is the probability that at least one of the five has engaged in binge drinking?

28. There are 13 students in a club. How many ways can four students be selected to attend a conference?

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29. Find the probability of the standard normal random variable Z. Draw the normal curve, and identify the probability you are calculating on the curve. P(Z < 1.49)

30. Find the probability of the standard normal random variable Z. Draw the normal curve, and identify the probability you are calculating on the curve. P(Z ≥ –2.31)

31. Find the probability of the standard normal random variable Z. Draw the normal curve, and identify the probability you are calculating on the curve. P(–2.14 < Z < 0.95)

32. Find the Z-score such that the area under the standard normal curve to the right is 0.10.

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33. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability a randomly selected person has an IQ score greater than 120.

34. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Determine the 90th percentile for IQ scores.

35. True or false. The normal probability plot indicates that the sample data could have come from a population that is normally distributed. Explain your response.