Question

In: Statistics and Probability

A study is done to test the claim that Company A retains its workers longer than...

A study is done to test the claim that Company A retains its workers longer than Company B. Company A samples 16 workers, and their average time with the company is 5.2 years with a standard deviation of 1.1. Company B samples 21 workers, and their average time with the company is 4.6 years with a standard deviation of 0.9. The populations are normally distributed.

0.2 point for writing the hypothesis in symbolic form.

0.2 point for determining the value of the test statistic.

0.2 point for finding the critical value OR the p-value.

0.2 point for determining if you should reject the null hypothesis or fail to reject the null hypothesis.

0.2 point for writing a conclusion addressing the original claim.

Solutions

Expert Solution


Related Solutions

A study is done to test the claim that Company A retains its workers longer than...
A study is done to test the claim that Company A retains its workers longer than Company B. Company A samples 16 workers, and their average time with the company is 5.2 years with a standard deviation of 1.1. Company B samples 21 workers, and their average time with the company is 4.6 years with a standard deviation of 0.9. The populations are normally distributed
A study is conducted to test a claim that fewer than 65% of adults believe there...
A study is conducted to test a claim that fewer than 65% of adults believe there is intelligent life elsewhere in the galaxy. In a survey of 80 adults, 48 indicated they believe there is intelligent life elsewhere in the galaxy. Test the claim at the 0.10 level of significance. Select the correct P-value and conclusion. Group of answer choices P = 0.3484, Do not reject H0 P = 0.1742, Do not reject H0 P = 0.1742, Reject H0 P...
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...
The claim is that more than 75% of workers are satisfied with their job, and sample...
The claim is that more than 75% of workers are satisfied with their job, and sample statistics include 600 employed adults; with 490 of them saying that they are satisfied with their job. Use a 0.01 confidence interval to test the claim. Claim: Null Hypothesis: Alternative Hypothesis: Test Statistic: P-Value: Interpreting the Test Statistic by using P-Value: Critical Value: Interpreting the Test Statistic by using Critical Value: Conclusion:
A study is done to determine if students in the California state university system take longer...
A study is done to determine if students in the California state university system take longer to graduate, on average, than students enrolled in private universities. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5231 years and 1 year, respectively. The following data are collected. The California state university system students took on average 4.6 years with a...
A movie company conducts a study to test the claim that the majority of people who...
A movie company conducts a study to test the claim that the majority of people who watch their movies from 12:00-3:00 are all under 30. They surveyed 30 random people with a mean age of 28 years old, also the population standard deviation for the average viewer is 6 years. What can we conclude about their claim with 0.05 significance? Assume equal variances.
We want to test the claim that people are taller in the morning than in the...
We want to test the claim that people are taller in the morning than in the evening. Morning height and evening height were measured for 30 randomly selected adults and the difference (morning height) − (evening height) for each adult was recorded in the table below. Use this data to test the claim that on average people are taller in the morning than in the evening. Test this claim at the 0.01 significance level. (a) In mathematical notation, the claim...
The Republicans claim that more than 70% of Americans think the federal government has done a...
The Republicans claim that more than 70% of Americans think the federal government has done a good job with the health crisis. The Democrats think otherwise, and want to challenge this claim in hopes of making political points against the Republicans in the upcoming election. To do this, 300 Americans were surveyed, and 204 said that they think the federal government has done a good job with the health crisis. The Federal Election Commission (FEC) requires any political claim be...
Company X claims that its cell phones last significantly longer than cell phones sold by company...
Company X claims that its cell phones last significantly longer than cell phones sold by company Y. the company collected the mean length of time that cell phones from each company last before needing to be replaced. xbar s n company a 3.456 .85 80 Company b 2.876 .85 80 Is there sufficient evidence to reject the null hypothesis (that the mean length of time for the two population is equal) at a significance level of .01? a. z-score=4.7657, p-value<.00001;...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT