Please use minitab to obtain the following: thank you Instructions Clearly label
ID: 2928289 • Letter: P
Question
Please use minitab to obtain the following: thank you
Instructions Clearly label each problem and each part of a problem on your paper. Make sure and print information and explain in detail on any questions or comments
. 1. ) The following data set represents the repair costs (in dollars) for a random sample of 24 dishwashers.
{ Note: the data listed below should be entered into one column.} 41.82 52.81 78.16 83.48 78.88 88.13 88.79 90.07 90.35 91.72 95.43 96.50 101.32 105.59 105.62 111.32 117.14 118.42 118.77 119.01 130.70 141.52 141.84 147.06
Use MINTAB to construct a 85% confidence interval for the population mean. { Stat/Basic Statistics/1-sample t }
2. ) In MINITAB generate 100 columns of data with 100 observations in each column from a Normal distribution with { CalcRandom DataNormal }. Find an appropriate 92% confidence interval for the population mean using each of the 100 samples. { Stat/Basic Statistics/1-sample z }
a. ) What are the 100 confidence intervals (MINTAB output)?
b. ) How many of these intervals are expected to contain the mean of the population?
c. ) Based on your Minitab output, how many of these intervals actually contain the mean of the population ( )?
3. ) A credit card company thinks that the mean value of the purchases of card holders in a month has increased from last years average of $225. A random sample of 20 customers monthly purchases was taken and the data is given below.
Assume the sample comes from a normal distribution. {Note: the data listed below should be entered into one column.} 207.65 240.05 278.89 298.66 256.27 195.70 187.65 300.42 288.95 296.75 210.15 216.16 286.72 297.40 226.70 235.90 140.65 202.66 250.50 365.78
(a) Obtain the MINITAB output needed to conduct the appropriate test of hypothesis to determine if the mean value of the purchases has increased from last year. { Stat/Basic Statistics/1-Sample t }
(b) Using the P-value obtained in the MINITAB output, what is your conclusion using a 0.01 level of significance.
4. ) Enter the following data set into two columns in the data window. Keeping the order pairs across from each other. A study was performed on the wear of a bearing, y, and the relationship to oil viscosity, x
. The following data were obtained : y | 193 230 172 91 113 125 x | 1.6 15.5 22 43 33 40
a. ) Calculate the linear regression information. { StatRegressionRegression }
b. ) Write the linear correlation coefficient and interpret it.
c. ) Write the coefficient of determination and interpret it.
d. ) Write the line of best fit or regression equation.
e. ) Use the regression equation to predict the wear of a bearing or explain why not if oil viscosity is 145.
f. ) Use the regression equation to predict the wear of a bearing or explain why not if oil viscosity is 30.
Explanation / Answer
question 1)
One-Sample T: repairs
Variable N Mean StDev SE Mean 84% CI
repairs 24 101.44 25.95 5.30 (93.74, 109.13)
whose mean and standard deviation are unknown use t test
enter data in minitab
Note: Confidence intervals are automatically provided in the output for a hypothesis test, but it will not be the standard confidence interval unless the two-sided alternative has been selected