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Hypothesis Testing

General Statistics

1. Z-test A researcher wishes to test the claim that the average age of lifeguards in Ocean City is greater than 24 years. She selects a sample of 36 guards and finds the mean of the sample to be 24.7 years with a standard deviation of 2 years. Is there evidence to support her claim at a 95% level of confidence? 2. T-test fo

Statistics: Calculate z scores and p values

Examples Fill in the answers for each table below. Please report your z scores to two decimals and your p values to three decimals. If the p value is less than .001, please report p < .001. µ=25 σ=2 X z p(z) 33 35 43 22 17 µ=25 σ=5 X z p(z) 33 35 43 22 17 µ

Hypothesis Testing Widgets

You want to determine if your widgets from machine 1 are the same as machine 2. Machine 1 has a sample mean of 500 and a population standard deviation of 6 and a sample size of 18. Machine 2 has a sample mean of 500.5 and a population standard deviation of 2 with a sample size of 2. With an alpha of .05 can we claim that ther

Hypothesis Testing: Mean Number of Customers

Your population mean has always been 9 customers per hour. The sample standard deviation is 4. The sample size is 25. The sample mean is 8. .05 is your level of significance. Use your sample data to test the claim that the number of customers you are serving per hour has changed. Choose the most accurate answer to running

Infomercial claims - Statistics

Infomercials often peddle products under the guise of "studies show ..." While some of the products are surprisingly good, many are not. Why should you be suspicious of any products advertised on these shows, despite the seeming existence of data?

Statistics Example Problem: Hypothesis Testing

In your work for a national health organization, you are asked to monitor the amount of sodium in a certain brand of cereal. You find that a random sample of 52 cereal servings has a mean sodium content of 232 milligrams with a standard deviation of 10 milligrams. At α = .04, can you conclude that the mean sodium content per se

Testing Claim of Delivery Within 15 Days

A carpet company advertises that it will deliver your carpet within 15 days of purchase. A sample of 49 past customers is taken. The average delivery time in the sample was 16.2 days. Assume the population standard deviation is known to be 5.6 days. a. State the null and alternative hypotheses. b. Using a critical value

Statistics: Mill Valley Brewery, bank manager's system, mean body temp

See attached file. Please show all work. Consider the following hypothesis test: Ho: mu &gt;= 80 Ha: mu &lt; 80 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion (reject or fail to reject) for each of the following sample results. Use alpa = 0.01 1. x = 7

Statistics: Inferences from Two Samples about home size and selling price

See attached data file. Home Size and Selling Prices Using the sample data that is attached, 21 homes with living areas under 2000 ft(2) have selling prices with a standard deviation of $32,159.73. There are 19 homes with living areas greater than 2000 ft(2) and they have selling prices with a standard deviation of $66,628

Statistics: Compare Variation in Two Samples of braking distances of cars

Braking Distances of Cars A random sample of 13 four-cylinder cars is obtained and the breaking distances are measured and found to have a mean of 137.5 ft and a standard deviation of 5.8 ft. A random sample of 12 six-cylinder cars is obtained and the braking distances have a mean of 136.3 ft and a standard deviation of 9.7 f

Hypothesis Testing of Variance: Student and Faculty Car Ages

See attached file. Interpreting Display for Student and Faculty Car Ages. Students at the author's college randomly selected samples of student cars and faculty cars and recorded their ages based on the registration stickers. See the following excel display of the results. What is the P-value for a hypothesis test of e

Inferences About Two Means: Independent Samples

Hypothesis Testing for Cigarette Tax: The mean tar content of a simple random sample of 25 unfiltered king size cigarettes is 21.1 mg, with a standard deviation of 3.2 mg. The mean tar content of a simple random sample of 25 filtered 100 mm cigarettes is 13.2 mg with a standard deviation of 3.7 mg. Use a 0.05 significance

Step 5 of hypothesis testing: Calculating the value of Z

The purpose of Team C's research is to determine why men receive higher salaries than women. Before researching the topic, team c will verify that women do indeed make less than men. According to the wages data set, women consist of only 3 of the top 25 salaries out of 100 samples. The mean women's salary is $24,452 with a stand

Are the Population Means equal?

At the 10% level of significance, does the following sample evidence indicate that the two population means are equal? Assume the populations are normally distributed. Sample 1: n = 21 = 10 s = 2.15 Sample 2: n = 25 = 12 s = 3.90 HINT: Since both of the samples are small, you must first determine whether the two pop

Inferences About Two Proportions

A total of 61,647 people responded to an Elle/ survey. It was reported that 50% of the respondents were women and 50% men. Of the women, 27% said that female bosses are harshly critical; of the men 25% said that female bosses are harshly critical. With this sample data with a 0.05 significance level to test the cla

Inferences about Two Proportions

Are Seat Belts Effective? A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2823 occupants not wearing seat belts, 31 were killed. Among 7765 occupants wearing seat belts, 16 were killed. Use this data with a 0.05 significance level to test the claim that the fatality rate is higher for


1. Assume that you plan to use a significance level of &#945; = 0.05 to test the claim that p1 = p2, Use the given sample sizes and numbers of successes to find the P-value for the hypothesis test. n1 = 100 n2 = 140 x1 = 41 x2 = 35 a. 0.4211 b. 0.0021 c. 0.0512 d. 0.0086 2. Construct the indicate

Test a Claim About a Mean for weight loss: Sigma Not Known

Is the Diet Practical? When 40 people used the Weight Watchers Diet for one year, their mean weight loss was 3.0 lb and the standard deviation was 4.9 lb. Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0 lb. Based on these results, does the diet appear to be effective? Does the diet app

Hypothesis t testing problems

Question #1 / 9 The mean SAT score in mathematics is . The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit. State the null hypothesis

conclusion about statistical significance

In Exercise 23-26, form a conclusion about statistical significance. Do not make any formal calculations. Either use results provided or make subjective judgments about the results. 24. Mendel's Genetics Experiment One of Gregor Mendel's famous hybridization experiments with peas yielded 580 offsprings with 152 of those peas

Hypothesis Testing of Mean: FICO credit rating scores

See attached file. Data set attached includes a simple random sample of FICO credit rating scores. As of this writing, the Mean FICO score was reported to be 678. Use a 0.05 significance level to test the claim that the sample of FICO scores comes from a population with a mean equal to 678. H0: H1: Test Statistic [S

Test a Claim about a Proportion in a stem cell survey

Stem Cell Survey - Adults were randomly selected for a Newsweek poll. They were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos." Of those polled, 481 were in favor, 401 were opposed, and 120 were unsure. A politician claims that people don't really u

Statistics: Testing a Claim About a Proportion of arrests

Percentage of arrests - A survey of 750 people aged 14 or older showed that 35 of them were arrested within the last year. Minitab was used to test the claim that fewer than 5% of people aged 14 or older were arrested within the last year. Use the results from the Minitab display and use a 0.01 significance level to test the sta

Cans of regular and diet Coke have the same mean weight

See attached file for complete formulas. 2. Below is the summary information for the weights (in pounds) of regular Coke and diet Coke cans. Test the claim that cans of regular Coke and diet Coke have the same mean weight at a 0.01 level of significance. Regular Coke Diet Coke n1=36 n2=36 s1=0.007507 s2=0.0004391

Reversal - Null and Alternative Hypotheses

1. In the 2000 football season, 247 plays were reviewed by officials using instant video replays, and 83 of them resulted in reversal of the original call. In the 2001 football season, 258 plays were reviewed and 89 of them were reversed. Test the claim that the proportion of plays reversed is different for the 2000 and 2001 s

Hypothesis Testing problems

13. For each of the following: (a) State which two populations are being compared (b) State the research hypothesis (c) State the null hypothesis (d) Say whether you should use a one-tailed or two-tailed test and why. i. In an experiment, people are told to solve a problem by focusing on the details. Is the speed of