Question

In: Statistics and Probability

A biologist claims that a specific type of hamsters live for longer than, or equal to,...

A biologist claims that a specific type of hamsters live for longer than, or equal to, 5 years on average. From 2000 hamsters that she has in her lab, she selects a random sample of 50 hamsters for testing and recorded that they lived for 4.9 years on average.

Based published papers in the field, she knows that the standard deviation of the lifespan of this type of hamsters is 1/3 years. Help the biologist to conduct a hypothesis test at the significance level of 0.05.

1: Write down the claim in mathematical notations.

2. State the null and alternative hypotheses

3: Choose and list the level of significance

4: Specify the sample size and sample statistic distribution

5. Is this a two-tail test or a one-tail test? Display the null distribution for yourself.

7: Calculate both the test statistic AND p-value

8: Clearly express your conclusion in words

Solutions

Expert Solution

please rate my answer and ask doubts in the comment section.


Related Solutions

A national manufacturer of replacement shock absorbers claims that its product lasts longer than the type...
A national manufacturer of replacement shock absorbers claims that its product lasts longer than the type that the car manufacturer usually installs. To examine this claim independent samples of cars were equipped with the original (sample 1) and replacement shock absorbers (sample 2). The cars were then driven until the shock absorbers were no longer effective, and the number of kms was recorded in thousands. The 90% confidence interval for the difference in the average distance travelled was estimated as...
A researcher tests the claim that the coronavirus can live on doorknobs for longer than on...
A researcher tests the claim that the coronavirus can live on doorknobs for longer than on stainless steel water bottles, on average. (3 pts) Write the null and alternative hypotheses. (3 pts) If the researcher commits a Type I error, that means the researcher rejects the null hypothesis when the null hypothesis is true (i.e. the alternative hypothesis is false). Write the Type I error in context. (3 pts) If the researcher commits a Type II error, that means the...
A researcher tests the claim that the coronavirus can live on doorknobs for longer than on...
A researcher tests the claim that the coronavirus can live on doorknobs for longer than on stainless steel water bottles, on average. Write the null and alternative hypotheses. If the researcher commits a Type I error, that means the researcher rejects the null hypothesis when the null hypothesis is true (i.e. the alternative hypothesis is false). Write the Type I error in context. If the researcher commits a Type II error, that means the researcher fails to reject the null...
A marine biologist claims that the mean length of male harbor seals is greater than the...
A marine biologist claims that the mean length of male harbor seals is greater than the mean length of female harbor seals. In a random sample of 89 male harbor seals the mean length is 132 centimeters and the standard deviation is 23 centimeters. In a random sample of 56 female harbor seals the mean length is 124 centimeters with a standard deviation of 18 centimeters. At ? = 0.05 can you support the marine biologist’s claim? Create a 90%...
It is known that in Canada females live longer than males, on average. The Insurance company...
It is known that in Canada females live longer than males, on average. The Insurance company is trying to estimate the difference for various social groups in different parts of Canada. Two random samples were taken in Ontario, providing life expectancy data at 65 for males and females who worked in Business (see the data file). Use t-test for two means as both distributions are approximately normal. Test the claim that the females live longer than males on average. Provide...
A local hospital claims that you will not wait longer than 45 minutes in the emergency...
A local hospital claims that you will not wait longer than 45 minutes in the emergency room. You go out to test this claim and find a sample of 81 patients chosen at random from their emergency room, you find a sample mean of 52 minutes with a sample standard deviation of 23 minutes. Can you publicly debunk their claim (call their claim fraudulent) at the 1% significance level? Use a test stat and then a p-value to determine if...
A local hospital claims that you will not wait longer than 45 minutes in the emergency...
A local hospital claims that you will not wait longer than 45 minutes in the emergency room. You go out to test this claim and find a sample of 81 patients chosen at random from their emergency room, you find a sample mean of 52 minutes with a sample standard deviation of 23 minutes. Can you publicly debunk their claim (call their claim fraudulent) at the 1% significance level? Use a test stat and then a p-value to determine if...
As older adults live longer, they may have more than one chronic disease. Or, they may...
As older adults live longer, they may have more than one chronic disease. Or, they may have a health problem that can lead to another condition or injury if not properly managed. The older adult requires careful nutritional management to ensure proper care and improve or maintain quality of life. From the professional article you selected, describe the unique nutritional needs of this population
Why some older adults who have a positive image of aging live longer than those with...
Why some older adults who have a positive image of aging live longer than those with a negative image of aging?
A company that produces cell phones claims its standard phone battery lasts longer on average than...
A company that produces cell phones claims its standard phone battery lasts longer on average than other batteries in the market. To support this claim, the company publishes an ad reporting the results of a recent experiment showing that under normal usage,their batteries last at least 35 hours. To investigate this claim, a consumer advocacy group asked the company for the raw data. The company sends the group the following results: 35, 34, 32, 31, 34, 34, 32, 33, 35,...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT