14. The null and alternate hypotheses are: H0: µ1 = µ2 H1: µ1 ≠ µ2 A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard dev
Question: Many people believe that abnormal behavior is more likely to occur during a full moon. As a test for empirical evidence to support this belief, a study was conducted based on admission of new clients over a one year period by lunar phases: Full Moon.....New Moon.....First Quarter......Third Quarter 62..............
Each part (a-d) of this problem gives the population standard deviation σ;, the statement of a claim about μ, the sample size n, the desired level of significance α. Formulate (i) the hypotheses, (ii) the test statistic Z, (iii) the rejection region. the answers to part (a) are provided. (a) σ = 2 claim: μ > 30,
(See attached file for full problem description) 1. What are the steps in formal hypothesis testing? Make at least two explanatory comments about each step. Step 1: Formulate the null and the alternative hypotheses. The null hypothesis is designated H0 while the alternative hypothesis is identified as H1. The null sh
For many years TV executives used the guideline that 30% of the audience were watching each of the prime-time networks and 10% were watching cable stations on a weekday night. A random sample of 500 viewers in the Tampa-St. Petersburg, Florida, area last Monday night showed that 165 homes were tuned in to the ABC affiliate, 140
The following hypotheses are given: H0: π 0.70 H1: π >0.70 A sample of 100 observations revealed that p = 0.75. At the .05 significance level, can the null hypothesis be rejected? 1. State the decision rule. 2. Compute the value of the test statistic. 3. What is your decision regarding the null hypothesis?
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. The information is summarized below. Statistic Men Women Mean 24.51 22.69 Standard deviation 4.48 3.86 Sample size 35 40 At the .01 s
To play at East Texas State University has five scholarships available for the women's basketball team. The head coach provided the two assistant coaches with the names of 10 high school players with potential to play at East Texas State. Each assistant coach attended three games and then ranked the 10 players with respect to po
ESPN reported in sample of 1000 homes the proportion of people who watched the Texas v. Ohio State college football game this weekend was .6. ESPN also reported that in another sample of 1000 homes the proportion of people who watched the Arizona State v. Louisiana State game was .4. Conduct a hypothesis test to determine if t
The Rocky Mountain district sales manager of JCM, Inc., a college book publishing company, claims that each of his sales representatives makes 40 calls on professors per week. Several reps said that this estimate is too low. To research the claim, a random sample of 28 reps revealed that the mean number of calls made last week w
A sample of 40 observations is selected from one somewhat normal population. The sample mean is 102 and the sample standard deviation is 5. A sample of 50 observations is selected from a second source. The sample mean was 99 and the standard deviation was 6. Conduct a test of the hypothesis using the .04 level of significance.
In a recent national survey, the mean weekly allowance for a nine-year-old child from his or her parents was reported to be $3.65. A random sample of 45 nine-year-olds in north-western Ohio revealed the mean allowance to be $3.69 with a standard deviation of 0.24. At the .05 level of significance, is there a difference in the me
A study was conducted on the annual incomes of corporate trainers in the state of New York in metropolitan areas having a population less than 100,000 and in metropolitan areas having a population over 500,000. Some sample statistics are: SAMPLE STATISTIC population <100K Population>500K Sample Size 45 60 Sample Me
The New York Times recently reported that 60% of college entrants into elite public and private colleges in the U.S. have parents that earn over $150,000/yr. In a sample of 1,000 new college freshmen you find that 57.75% of them have parents who earn over $150,000/yr. Conduct a hypothesis test to determine if the New York Time
Suppose a candidate running for sheriff claims that she will reduce the average speed of emergency response to less than 30 minutes. (30 minutes is thought to be the average response time with the current sheriff.) There are no past records, so the actual standard deviation of such response times cannot be determined. Thanks to
Electricity is commonly traded at the California-Oregon border (COB) and Palo Verde (PV) in Arizona. Assume you take a sample of 100 daily electricity market closing prices (in $/megawatthour) from both COB and PV. The following are the summary statistics resulting from your sample: COB PV Average Price $200 $300 Stan
The following is a sample Quiz #1 Final 7 34 4 25 2.5 24 8 34 3 20 7.5 34 7.25 42 7 25 5 33 Conduct a hypothesis test to determine if there is a linear relationship (positive correlation) between the two scores or not. Remember to clearly state the null and alternate hypothesis and assume α = .05.
Disney tells you that the average distance between the ears on a Mickey Mouse hat is 5 inches. In a sample of 100 Mickey Mouse hats you find that the average distance between the ears on the hats is 5.2 inches with a standard deviation of 1 inch. Conduct a hypothesis test to determine if the average distance between the ears o
Before I moved to California, I sold my home in Nevada. My realtor told me that the average price of a 2500 square foot home in Nevada was $250,000. I really didn't trust him, so I took a sample of 100 people with 2500 square foot homes in Nevada and found that the average price of a 2500 square foot home was $260,000 with a
Ms. Lisa Monnin is the budget director for Nexus Media, Inc. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample information. Sales ($) 131 135 146 165 136 142 Audit ($) 130 102 129 143 149 120 139 At the .10 significance level, can she concl
The null and alternate hypotheses are: Ho: µ1 = µ2 H1: µ1 >= µ2 A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15
Use the following results obtained from a simple linear regression analysis with 12 observations. y= 37.2895 - (1.2024)X r2 = .6744 sb = .2934 Test to determine if there is a significant negative relationship between the independent and dependent variables at .05 significance.
1. In hypothesis testing, the level of significance is? 2. When would you use a t test and when would you use an f test ? 3. You are interested in the assumption that adult students earn better grades than traditional students. a. What is the independent variable ? b. What is the dependent variable ? c. What are the null an
Given the following hypotheses: the true mean equals 100 (the null) and the true mean does not equal 100 (the alternate), a random sample of six resulted in the following values: 118, 105, 112, 119, 105, 111. Using = .05, can we conclude the true mean differs from 100? In the process of answering this question: a) state the deci
A TV add, aimed at men, claims that drinking a special weight loss medicine before every meal will result in the loss of at least 5 pounds after two weeks. A skeptical newspaper reporter decides to check if the plan works by having 10 randomly selected women follow the plan for the four week period. The weights for the indivi
Test H0: μ1 - μ2 = 2, HA: μ1 - μ2 > 2, where u1 = 522, u2 = 516, s12 = 28, s22 = 24, n1 = 40, n2 = 30, at α = .01.
H0: p = .5 versus HA: p =/ 0.5; when n = 225 and sample proportion = .54
A microwave manufacturing company has just switched to a new automated production system. Unfortunately, the new machinery has been frequently failing and requiring repairs and service. The company has been able to provide its customers with a completion time of 6 days or less. To analyze whether the completion time has increase
Test H0: μ = 3.0 versus HA: μ > 3.0 when = 3.44, s = .57, and n = 13 at a significance level of .05. Assume population normality
5. The following data resulted from an experiment to study the effects of leaf removal on the ability of fruit of a certain type to mature: Treatment No of fruits matured No of fruits aborted Control 141 206 Two leaves removed 28