The FleetFoot Shoe company claims that the average yearly salary of its workers is $29,800. The Union believes that the average is much less. A random sample of 57 employees shows their average salary to be $29,500 with a population standard deviation of $1200. Test the hypothesis using a 3% level of significance. Using either the classical approach or the P-value approach: (Step 5) Decision: O There is not sufficient evidence at the 0.03 level of significance to show the mean salary at FleetFoot Shoe Company is less than $29,800. There is sufficient evidence at the 0.03 level of significance to show the mean salary at FleetFoot Shoe Company is less than $29,500. O There is sufficient evidence at the 0.03 level of significance to show the mean salary at FleetFoot Shoe Company is less than $29,800. There is not sufficient evidence at the 0.03 level of significance to show the mean salary at FleetFoot Shoe Company is less than $29,500.

The FleetFoot Shoe company claims that the average yearly salary of its workers is $29,800. The Union believes that the average is much less. A random sample of 57 employees shows their average salary to be $29,500 with a population standard deviation of $1200. Test the hypothesis using a 3% level of significance. Using either the classical approach or the P-value approach: (Step 5) Decision: O There is not sufficient evidence at the 0.03 level of significance to show the mean salary at FleetFoot Shoe Company is less than $29,800. There is sufficient evidence at the 0.03 level of significance to show the mean salary at FleetFoot Shoe Company is less than $29,500. O There is sufficient evidence at the 0.03 level of significance to show the mean salary at FleetFoot Shoe Company is less than $29,800. There is not sufficient evidence at the 0.03 level of significance to show the mean salary at FleetFoot Shoe Company is less than $29,500.

Name: The FleetFoot Shoe company claims that the average yearly salary of i
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: The FleetFoot Shoe company claims that the average yearly salary of its workers is $29,800. TheUnion believes that the average is much less. A random sample of 57 employees shows theiraverage salary to be $29,500 with a population standard deviation

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Community college instructors' salaries in one state are very low, so low that educators in that state regularly complain about their compensation. The national mean is $45,661, but instructors from Mississippi claim that the mean in their state is significantly lower. They survey a simple random sample of 61 colleges in the state and calculate a mean salary of $43,024 with a standard deviation of $13,132. Test the instructors' claim at the 0.05 level of significance. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:
A study reported that finger rings increase the growth of bacteria on health-care workers’ hands. Research suggests that 31 percent of health-care workers who wear rings have bacteria on one or both hands. Suppose that independent random samples of 100 health-care workers wearing rings is selected. What is the standard deviation of the sampling distribution of the sample proportions of health-care workers having bacteria on one or both hands? A. 100 B. 0.0462 C. 0.69
The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample Magnitude of Earthquake 0.720 0.740 0.640 0.390 0.700 2.200 1.980 0.640 1.220 0.200 1.640 1.320 2.950 0.900 1.760 1.010 1.260 0.000 0.650 1.460 1.620 1.830 0.990 1.560 0.410 1.280 0.830 1.320 0.540 1.250 0.920 1.000 0.780 0.790 1.440 1.000 2.240 2.500 1.790
Dr. Graham is interested in determining if middle-aged adults use text messaging more or less frequently than the general population. Dr. Graham collects information on text messaging from a random sample of 50 adults ages 25 to 44. Dr. Graham finds that these individuals send or receive an average of 68 text messages per day. Using the population mean (and standard deviation) of 41.5 texts per day (34 texts per day), determine whether adults in this age group use text messaging more than the general public.
Utility bills for single family homes are at least $150 per month. After an improvement in infrastructure, the utility company would like to determine if the utility bills are now less than $150 per month. The next 25 utility bills averaged $145.25 per month with the sample standard deviation of $10. At 0.10 significance level, test if the bills are less than $150. 1. Which of the following (A,B,C,or D) would be the correct hypothesis statement? A. Ho: p ≤ 0.25 Ha: p > 0.25 B. Ho: >= 150 H₂: μ 150 D. Ho: M 130 H₁: μ> 130 2. The critical value is 3. The statistical value in this problem is... three decimal places 4. The p-value range associated with the test statistic from the t table is ... 5. At a 10% level of significance, will the decision be to Reject or DNR?
In a particular year, registered nurses earned an average annual salary of $52,330. A survey was conducted with 48 nurses from a particular state to determine if the annual salary is higher than $52,330 for that state's nurses. The sample average was $61,599 with a sample standard deviation of $7,489. Conduct a hypothesis test at the 5% level.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.) What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to the…
A newsletter publisher believes that less than 68 % of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.05 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim?
Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be $56,500 per year with a sample standard deviation of 3,750. Using the alternative hypothesis H1 : 55.0 appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places. Right-Tailed T-Table probability Degrees of Freedom 54 0.00040.00140.00240.00340.00440.00540.0064 56 57 58 59 60 3.562 3.135 2.943 2.816 2.719 2.641 2.576 3.558 3.132 2.941 2.814 2.7172.640 2.574 3.554 3.130 2.939 2.8122.716 2.638 2.572 3.550 3.127 2.937 2.810 2.714 2.636 2.571 3.547 3.125 2.935 2.8082.712 2.635 2.569 3.544 3.122 2.933 2.806 2.711 2.633 2.568 3.540 3.120 2.931 2.805 2.709 2.632 2.567 Provide your answer below , p-value -
50 smokers were questioned about the number of hours they sleep each day. We want to test the hypothesis that the smokers need less sleep than the general public which needs an average of 7.7 hours of sleep. We follow the steps below. Compute a rejection region for a significance level of .05. A. If the sample mean is 7.5 and the standard deviation is .5, what can you conclude?
In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 321 orders observed. Use a 0.01 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. H0: p≠0.1 H1: p=0.1 B. H0: p=0.1 H1: p<0.1 C. H0: p=0.1 H1: p≠0.1 D. H0: p=0.1 H1: p>0.1 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is ______ (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is _______ (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. A. Reject H0. There is not sufficient evidence to warrant rejection of the claim that the rate of…
Water usage is closely watched in many parts of Australia. Suppose that in a summer the average household usage in Hobart is 408 litres per day. A year later it examines records of a sample of 50 households and finds that there is a daily mean usage of 380 litres with a standard deviation of 25 litres. a.Do you think the average daily water usage has been changed in the second summer? Use the 5% level of significance level for hypothesis testing. b.Because of the draught situation in Australia, after the first summer, the price of water in Hobart was increased to encourage households to reduce their water consumption. How do you evaluate the effect of increasing water prices? Use the 5% level of significance level for hypothesis testing.