Question

In: Statistics and Probability

The Tampa Bay (Florida) Area Chamber of Commerce wanted to know whether the mean weekly salary...

The Tampa Bay (Florida) Area Chamber of Commerce wanted to know whether the mean weekly salary of nurses was larger than that of school teachers. To investigate, they collected the following information on the amounts earned last week by a sample of school teachers and nurses.

School Teachers ($) 1,095 1,076 1,077 1,125 1,034 1,059 1,052 1,070 1,079 1,080 1,092 1,082
Nurses ($) 1,091 1,140 1,071 1,021 1,100

1,109

 1,075

1,079

Is it reasonable to conclude that the mean weekly salary of nurses is higher? Use the 0.01 significance level. Hint: For the calculations, assume the nurses as the first sample.

Click here for the Excel Data File

  1. Is this a one-tailed or a two-tailed test?

  • One-tailed test

  • Two-tailed test

  1. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)

  1. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

  1. What is your decision regarding H0?

  • Reject H0

  • Do not reject H0

  1. What is the p-value?

  • Greater than 0.1.

  • Between 0.01 and 0.1.

  • Between 0.001 and 0.01.

  • Less than 0.001.

Solutions

Expert Solution

using excel>addin>phstat>two sample test

we have

Pooled-Variance t Test for the Difference Between Two Means
(assumes equal population variances)
Data
Hypothesized Difference 0
Level of Significance 0.01
Population 1 Sample
Sample Size 12
Sample Mean 1076.75
Sample Standard Deviation 22.83985751
Population 2 Sample
Sample Size 8
Sample Mean 1085.75
Sample Standard Deviation 34.40411105
Intermediate Calculations
Population 1 Sample Degrees of Freedom 11
Population 2 Sample Degrees of Freedom 7
Total Degrees of Freedom 18
Pooled Variance 779.0972
Standard Error 12.7402
Difference in Sample Means -9.0000
t Test Statistic -0.7064
Lower-Tail Test
Lower Critical Value -2.5524
p-Value 0.2445
Do not reject the null hypothesis

1 ) this is one sided test

2)we reject Ho if t < -2.5524

3) the value of the test statistic.-0.706

4) Do not reject H0

5) the p-value is 0.2445

  • Greater than 0.1.

orchestra answered 1 year ago
Next > < Previous

Related Solutions

The Chamber of Commerce of Tampa Bay, Florida, would like to estimate the average amount of...
The Chamber of Commerce of Tampa Bay, Florida, would like to estimate the average amount of money spent by a visitor in Florida with 95% confidence. Assume that the underlying distribution is normal and the standard deviation is $200. What sample size would be necessary for the Chamber of Commerce to meet its objective in estimating this average amount if population mean is within $20 of the sample mean?
According to the data released by the Chamber of Commerce of a certain city, the weekly...
According to the data released by the Chamber of Commerce of a certain city, the weekly wages of factory workers are normally distributed with a mean of $710 and a standard deviation of $50. Find the probability that a worker selected at random from the city makes the following weekly wage. (Round your answers to four decimal places.) (a) less than $710 = (b) more than $835 = (c) between $660 and $760=
According to the data released by the Chamber of Commerce of a certain city, the weekly...
According to the data released by the Chamber of Commerce of a certain city, the weekly wages of factory workers are normally distributed with a mean of $750 and standard deviation of $40. Find the probability that a worker selected at random from the city makes the following weekly wage. (Round your answers to four decimal places.) (a) less than $750 (b) more than $874 (c) between $710 and $830
DB’s Doughnuts creates delicious up-scale pastries for different events in the Tampa Bay area, and makes...
DB’s Doughnuts creates delicious up-scale pastries for different events in the Tampa Bay area, and makes all sales on credit. As of December 31st, 2020, the company’s sales information and accounts receivable information is as follows (normal balances before adjustments): Accounts receivable                                        $365,000 Allowance for Doubtful Accounts                 $12,000 DB’s Doughnuts currently estimates that 12% of its accounts receivable will be uncollectible. Calculate and prepare the adjusting entry for the company’s bad debt expense as of 12/31/20. DATE ACCOUNT DEBIT CREDIT...
The Buffalo, New York, Chamber of Commerce wants to estimate the mean time workers who are...
The Buffalo, New York, Chamber of Commerce wants to estimate the mean time workers who are employed in the downtown area spend getting to work. A sample of 15 workers reveals the following number of minutes spent traveling. 14 24 24 19 24 7 31 20 26 23 23 28 16 15 21 Click here for the Excel Data File Develop a 98% confidence interval for the population mean. (Round your answers to 2 decimal places.)
The management at an environmental consulting firm claims the mean weekly salary is $275 with a...
The management at an environmental consulting firm claims the mean weekly salary is $275 with a standard deviation of $34.10. If we want to address the question “If management’s claims are true, what is the probability that an individual worker would make an average weekly salary less than $264.50?”, write the probability statement. If we want to address the question “If management’s claims are true, what is the probability that an individual worker would make an average weekly salary less...
An environmentalist wanted to determine if the mean acidity of rain differed among Alaska, Florida, and...
An environmentalist wanted to determine if the mean acidity of rain differed among Alaska, Florida, and Texas. He randomly selected 6 rain dates at each of the 3 locations and obtained the following data (pH of rain): Alaska Florida Texas 5.41 4.87 5.46 5.39 5.18 5.89 4.90 4.52 5.57 5.14 5.12 5.15 4.80 4.89 5.45 5.24 5.06 5.30 Conduct a full hypothesis test. Be sure to: check conditions state hypotheses find the test statistic and df (both) state significance level...
According to the Bureau of Labor Statistics (BLS), the mean weekly earnings of salary workers in...
According to the Bureau of Labor Statistics (BLS), the mean weekly earnings of salary workers in the United States in 2018 was µ =$870. Assume that the weekly earnings are approximately normally distributed with a standard deviation of σ = $90. If a salary worker is selected at random, what is the probability that his/her weekly earnings exceed $700? What are the weekly earnings for which 95% of salary workers’ earnings are in this range? What is the weekly earning...
Conduct a test of hypothesis to determine whether the mean salary (Salary column) of the teams...
Conduct a test of hypothesis to determine whether the mean salary (Salary column) of the teams was different than $75.0 million. Use the 5% level of significance. Note: We do not know the populations standard deviation. Salary 93.6 143 108.7 61.7 95.2 67.1 103.9 71.4 189.6 79.4 106.5 24.1 68.3 89.1 66.2 87.3 99.7 68.9 54.4 30.5 87.8 108.5 71 115.2 89.4 38.5 58.1 90.2 90.3 37.3 Select one: a. p = 19.2%. Do not reject the null. The mean...
you have been hired by a company in the Bay area to assess whether diverse teams...
you have been hired by a company in the Bay area to assess whether diverse teams are more effective than non-diverse teams. You hypothesize that diverse team are more effective than non-diverse teams. 1. How would you restate your hypothesis in a more technical manner? 2. How would you operationalize/measure diversity and team effectively? 3. What type of method would you use and why( qualitative, cross sectional, experiment) 4. What moderators or mediators do you think would be relevant to...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT