Question

In: Statistics and Probability

In US, the mean weekly earning of male works was $1005 last year. A random sample...

In US, the mean weekly earning of male works was $1005 last year. A random sample of 50 female workers, their weekly earnings also last year in dollars are provided in the following table.

560

360

688

1301

49

582

751

4131

3211

646

1312

1931

764

297

232

699

88

364

1111

427

1235

494

3430

298

245

448

785

1931

994

152

875

920

826

756

440

448

295

646

896

353

619

887

1079

59

219

1019

1001

411

1217

562

At the 5% significance level, do the data provide sufficient evidence to conclude that last year the mean weekly earnings of female workers are less than the mean weekly earnings of male workers?

Solutions

Expert Solution


Related Solutions

Each person in a random sample of 228 male teenagers and a random sample of 305...
Each person in a random sample of 228 male teenagers and a random sample of 305 female teenagers was asked how many hours he or she spent online in a typical week. The sample mean and standard deviation were 15.2 hours and 11.3 hours for males and 14.2 and 11.7 for females. (Use a statistical computer package to calculate the P-value. Use μmales − μfemales. Round your test statistic to two decimal places, your df down to the nearest whole...
Description: The data are from a national sample of 6000 households with a male head earning...
Description: The data are from a national sample of 6000 households with a male head earning less than $15,000 annually in 1966. The data were classified into 39 demographic groups for analysis. The study was undertaken in the context of proposals for a guaranteed annual wage (negative income tax). At issue was the response of labor supply (average hours) to increasing hourly wages. The study was undertaken to estimate this response from available data Approach: Our plan is to divide...
Description: The data are from a national sample of 6000 households with a male head earning...
Description: The data are from a national sample of 6000 households with a male head earning less than $15,000 annually in 1966. The data were classified into 39 demographic groups for analysis. The study was undertaken in the context of proposals for a guaranteed annual wage (negative income tax). At issue was the response of labor supply (average hours) to increasing hourly wages. The study was undertaken to estimate this response from available data SOLVE: Use SAS software to answer...
TaxiCab held 20% of the rides last year. A random sample of 100 rides this year...
TaxiCab held 20% of the rides last year. A random sample of 100 rides this year showed that 25 employed TaxiCab. Has the percentage of TaxiCab rides increased this year compared to last year? Formulate the hypothesis: A. Ho: p≤.25 . Ha: p>.25 B. Ho: p≤.20 . Ha: p>.20 C. Ho: p<.25 . Ha: p>.25 D. Ho: p>.20 . Ha: p≤.20 What is the p-value? What is your conclusion with 95% confidence?
in a certain year the mean interest rate on loans to a random sample of 80...
in a certain year the mean interest rate on loans to a random sample of 80 large retailers (that is, those with assets of $10,000,000 or more) was 10.0% and the standard deviation was 0.6%. Two years later, a random sample of 100 loans to large retailers yielded a mean interest rate of 10.25% and a standard deviation of 0.72%. a. Would you conclude that there has been a change in the average level of interest rates for large retailers?...
From a random sample of 48 days in a recent year, US Gasoline prices had a...
From a random sample of 48 days in a recent year, US Gasoline prices had a mean of $2.34 and a standard deviation of $0.30. Use this information to construct the following confidence intervals and determine the margin of error for each: a. 90% b. 95% c. 99%
A random sample of 20 observations is used to estimate the population mean. The sample mean...
A random sample of 20 observations is used to estimate the population mean. The sample mean and the sample standard deviation are calculated as 162.5 and 22.60, respectively. Assume that the population is normally distributed. a. Construct the 99% confidence interval for the population mean. (Round intermediate calculations to at least 4 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.) b. Construct the 95% confidence interval for the population mean. (Round intermediate...
A random sample of 29 observations is used to estimate the population mean. The sample mean...
A random sample of 29 observations is used to estimate the population mean. The sample mean and the sample standard deviation are calculated as 130.2 and 29.60, respectively. Assume that the population is normally distributed Construct the 95% confidence interval for the population mean. Construct the 99% confidence interval for the population mean Use your answers to discuss the impact of the confidence level on the width of the interval. As the confidence level increases, the interval becomes wider. As...
A random sample of 27 observations is used to estimate the population mean. The sample mean...
A random sample of 27 observations is used to estimate the population mean. The sample mean and the sample standard deviation are calculated as 113.9 and 20.40, respectively. Assume that the population is normally distributed. [You may find it useful to reference the t table.] a. Construct the 90% confidence interval for the population mean. (Round intermediate calculations to at least 4 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.) b. Construct...
In a large university, 20% of the students are male. If a random sample of twenty...
In a large university, 20% of the students are male. If a random sample of twenty two students is selected a. What is the probability that the sample contains exactly twelve male students? b. What is the probability that the sample will contain no male students? c. What is the probability that the sample will contain exactly twenty female students? d. What is the probability that the sample will contain more than nine male students? e. What is the probability...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT