The director of a stage agency believes that the average starting salary for clerical employees in...
The director of a stage agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year, to test her hypothesis; she has collected a simple random sample of 100 starting clerical salaries from across the state and found that the sample mean is $ 29,750.
- State the appropriate null and alternative hypotheses.
- Assuming the population standard deviation is known to be $2,500 and the significance level for the test is to be 0.05, what is the critical value? (stated in dollars)? Show your work.
- Referring to your answer in part b, what conclusion should be reached with respect to the null hypothesis? Explain
- Referring to your answer in part c, which of the two statistical errors might have been made in this case? Explain.
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The director of a stage agency believes that the average
starting salary for clerical employees in...
Exercise 1. The director of a state agency believes that the average starting salary for clerical...
Exercise 1. The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a simple random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750. State the appropriate null and alternative hypotheses. Assuming the population standard deviation is known to be $2,500 and the significance level for the test is to...
A hospital director is told that 68% of the treated patients are insured. The director wants...
A hospital director is told that 68% of the treated patients are insured. The director wants to test the claim that the percentage of insured patients is above the expected percentage. A sample of 180 patients found that 135 were insured. At the 0.05 level, is there enough evidence to support the director's claim? State the null and alternative hypotheses. Find the value of the test statistic. Round your answer to two decimal places Specify if the test is one-tailed...
A hospital director is told that 70% of the treated patients are insured. The director wants...
A hospital director is told that 70% of the treated patients are insured. The director wants to test the claim that the percentage of insured patients is more than the expected percentage. A sample of 200 patients found that 150 were insured. At the 0.05 level, is there enough evidence to support the director's claim? Step 1 of 7: State the null and alternative hypotheses. Step 2 of 7: Find the value of the test statistic. Round your answer to...
1) A researcher believes that the mean starting salary of male occupational therapists is greater than...
1) A researcher believes that the mean starting salary of male occupational therapists is greater than the mean starting salary of female occupational therapists. State the null and alternative hypothesis for this conjecture. A) H: = (null hypothesis) H:H>, (alternative hypothesis) Where is the mean starting salary for male occupational therapists B) H:H= (null hypothesis) H:. (alternative hypothesis) Where is the mean starting salary for male occupational therapists C) H: > (null hypothesis) Hu u (alternative hypothesis) Where u is...
The Admissions officer for the graduate programs at Michigan State University (MSU) believes that the average...
The Admissions officer for the graduate programs at Michigan State University (MSU) believes that the average score on the GRE exam at his university is significantly higher than the national average of 1300. Assume that the population standard deviation is 125 and a random sample of 25 scores had an average of 1375. State the appropriate null and alternative hypotheses Calculate the value of the test statistic and set up the rejection region. What is your conclusion? Calculate the p-value...
PROJECT: The national mean annual salary for a school administrator is $90,000 a year (the Cincinnati...
PROJECT: The national mean annual salary for a school administrator is $90,000 a year (the Cincinnati Enquirer, April 7, 2012). A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to see if they differed from the national average. The sample data for 25 Ohio administrators is contained in the excel file named Administrator. Use these data for the following questions: Q1.) Formulate hypotheses that can be used...
(20 pts)1. According to a salary survey, the average salary offered to computer science Majors who...
(20 pts)1. According to a salary survey, the average salary offered to computer science Majors who graduated in May 2002 was no more than $50,352. A random sample of 200 showed that they were offered a mean salary of $51,750 with a standard deviation of $5240. Using the 1% significance level, what's your conclusion? a. State the null and alternative hypotheses. b. Construct a statistic to test the hypotheses and select the distribution to use. c. Find the critical value,...
The national mean annual salary for a school administrator is $90,00 a year (The Cincinnati Enquirer,...
The national mean annual salary for a school administrator is $90,00 a year (The Cincinnati Enquirer, April 7, 2012). A school official took a sample of 25 school administrators in the state of Ohio to learn about the salaries in that state to see if they differed from the national average. A) Formulate hypotheses that can be used to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $90,000. B) The sample data...
A hospital director is told that 68 % of the treated patients are insured. The director...
A hospital director is told that 68 % of the treated patients are insured. The director wants to test the claim that the percentage of insured patients is above the expected percentage. A sample of 180 patients found that 135 were insured. At the 0.05 level, is there enough evidence to support the director's claim? Step 1 of 7: State the null and alternative hypotheses. Answer 2 Points Tables Keypad HO H: A hospital director is told that 68 %...
can you help me to resolve this.. please I'm stuck.. A researcher believes that the average...
can you help me to resolve this.. please I'm
stuck..
A researcher believes that the average has increased by the year 2018. In 2018 he 9. The average number of cars per household in the year 2000 is known to have been 1.97. surveys 155 households, and finds that for this sample, the mean is 2.05 with a standard deviation of .58 I would like you to test the researcher's belief statistically at the a= .05 level of significance. a....
1) A researcher believes that the mean starting salary of male occupational therapists is greater than the mean starting salary of female occupational therapists. State the null and alternative hypothesis for this conjecture. A) H: = (null hypothesis) H:H>, (alternative hypothesis) Where is the mean starting salary for male occupational therapists B) H:H= (null hypothesis) H:. (alternative hypothesis) Where is the mean starting salary for male occupational therapists C) H: > (null hypothesis) Hu u (alternative hypothesis) Where u is...
PROJECT: The national mean annual salary for a school administrator is $90,000 a year (the Cincinnati Enquirer, April 7, 2012). A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to see if they differed from the national average. The sample data for 25 Ohio administrators is contained in the excel file named Administrator. Use these data for the following questions: Q1.) Formulate hypotheses that can be used...
(20 pts)1. According to a salary survey, the average salary offered to computer science Majors who graduated in May 2002 was no more than $50,352. A random sample of 200 showed that they were offered a mean salary of $51,750 with a standard deviation of $5240. Using the 1% significance level, what's your conclusion? a. State the null and alternative hypotheses. b. Construct a statistic to test the hypotheses and select the distribution to use. c. Find the critical value,...
A hospital director is told that 68 % of the treated patients are insured. The director wants to test the claim that the percentage of insured patients is above the expected percentage. A sample of 180 patients found that 135 were insured. At the 0.05 level, is there enough evidence to support the director's claim? Step 1 of 7: State the null and alternative hypotheses. Answer 2 Points Tables Keypad HO H: A hospital director is told that 68 %...
can you help me to resolve this.. please I'm
stuck..
A researcher believes that the average has increased by the year 2018. In 2018 he 9. The average number of cars per household in the year 2000 is known to have been 1.97. surveys 155 households, and finds that for this sample, the mean is 2.05 with a standard deviation of .58 I would like you to test the researcher's belief statistically at the a= .05 level of significance. a....
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