We know that, in the population, the average memory span (number of items a person can...
22 Some researchers claim that herbal supplements such as ginseng or ginkgo biloba enhance human memory To test this claim, a researcher selects a sample of n = 28 college students. Each student is given a ginkgo biloba supplement daily for 6 weeks and then all of the participants are given a standardized memory test Scores on the standardized test are = 80 and standard deviation of 15 The sample of 28 students had a mean score of M =...
It is stated that the average costof books and supplies for a college student is $402 with a population standard deviation of $138. You would like to test this claim at the level of significance of .05. Using a simple random sample of 50 college students an average of $451 was computed. State the null hypothesis State the alternative hypothesis Calculate the test statistic Calculate the p-value What conclusion will you draw? Repeat the hypothesis test using the critical value approach? What...
A sample of 10 mothers wants to know if they sleep less than the population in terms of the number of hours they sleep. Their average number of hours they sleep is 6.8. We know that the average hours of sleep in the population is 8 with a standard deviation of 3. Conduct a z test to see if the sample of mothers differs from the population. (Be sure to complete all four steps of a hypothesis test.) α=.05 Ackerman...
We know that the IQ test has a population mean of 100 and a population standard deviation of 16 (we know this because IQ tests are normed on thousands of people and these are the consistent values). The principals of a consortium of 3 high schools for the gifted want to know if their students are above average. They give the IQ test to all their students and here are the results: School A = 104 School B = 116...
2. One Sample t-test for Population Mean A vendor claims that the average weight of a shipment of parts is 1.84. The customer randomly chooses 64 parts and finds the sample has an average of 1.88 and standard deviation of 0.03. Should the customer reject the lot? Assume the customer wants to be 95% confident that the supplier's claim is incorrect before he rejects. (This is the same as the last example, except that 0.03 is the sample standard deviation...
The manager of the quality department for a tire manufacturing company wants to know the average tensile strength of rubber used in making a certain brand of radial tire. The population is normally distributed, and the population standard deviation is known. She uses a z test to test the null hypothesis that the mean tensile strength is 800 pounds per square inch. The calculated z test statistic is a positive value that leads to a p-value of .045 for the...
A UCLA researcher claims that the average life span of mice can be extended by as much as 8 months when the calories in their diet are reduced by approximately 40% from the time they are weaned. The restricted diets are enriched to normal levels by vitamins and protein. Suppose that a random sample of 10 mice is fed a normal diet and has an average life span of 32.1 months with a standard deviation of 3.2 months, while a...
We are interested in examining the IQ scores of college students versus the average population IQ. We take a sample of 25 college students and have them take the WAIS. Our sample of college students had an average WAIS of 110, and the known population mean for the WAIS is 100 with σ= 15. a. What type of statistical test should we conduct (z score, one sample t test, independent measures t test, repeated measures t test)? How do you...
Recorded math scores of 200 students and like to know if their average is significantly (a = 0.05) different from the university average of 60. The average score of the 200 students is 62.8 and the standard deviation is 12. a) What are the null and the alternative hypothesis? b) What do you conclude?
test the null hypothesis H0 H0 : In college, the average GPA of men is equal to the average GPA of women. H1 : In college, the average GPA of men is different from the average GPA of women. A sample of 10 men's GPA in college has sample mean 2.9, and a sample of 10 women's GPA has sample mean 3.1. We also know the GPAs of men and women have the same standard deviation 0.2. Calculate the p...