Question

In: Statistics and Probability

Excel Questions Q1. What is the sample mean of income? Q2. What is the sample standard...

Excel Questions

Q1. What is the sample mean of income?

Q2. What is the sample standard deviation of income? For questions 3 and 4, construct a 95% confidence interval for the average house price.

Q3. Enter the low end of the interval.

Q4. Enter the high end of the interval

Q5. The the typical household income in Indiana is $52,314. Suppose we want to test whether the people in this town earn a different amount on average. Find the p-value for this hypothesis test.

Q6. What is the highest confidence level at which you would reject the null hypothesis?

Q7. Suppose we want to test whether the two towns have the same unemployment rate. Find the p-value for this hypothesis test.

Q8. What is the highest confidence level at which you would reject the null hypothesis

Q9. Suppose we want to test whether runner 1 is faster than runner 2. Find the p-value for this hypothesis test.

Q10. What is the highest confidence level at which you would reject the null hypothesis

You run a small business with the following data for the last 100 days. Here is a summary for all of the variables:

Sales: Your revenue in dollars for the day.

Ads: The amount that you have spent on advertising.

Weekend: Equals 1 if it is on a weekend and 0 if not.

Holiday: Equals 1 if it is on a holiday and 0 if not

Run a regression with sales as your independent variable and ads, weekend and holiday as your dependent variables.

Q11. What is the p-value for the ads coefficient

Q12. What is the highest confidence level at which you would reject the null hypothesis that ads don't affect sales (use the dropdown list)?

Q13. What is the coefficient for ads?

Q14. Using this model, predict your sales for a day where you have spent $100 on ads, it is not a weekend and it is a holiday.

Run the same regression but with the natural logarithm of ads instead of ads.

Q15. What is the coefficient for ads now?

Q16. Which model performs better overall?

You run a store where you have data on the temperature outside and the amount that you spent on heating over the last 50 days.

Q17. What is the correlation between temperature and heating costs in this sample?

Q18. Find the test statistic for the hypothesis test for whether temperature and heating cost are correlated. (hint: look at CPA 14 part 1 for guidance)

Q19. What is the p-value for this hypothesis test? (hint: The t.dist functions require a positive value for x. Be sure to take the absolute value of the t-score using the abs function)

Q20. What is the highest confidence level at which you would reject the null hypothesis?

Income House Price
45724.50469 229669.22
64748.13922 321863.96
41116.40033 190247.32
49956.66181 221302.71
51784.69088 251299.13
47279.82381 197807.47
46923.55034 214079.92
58268.95352 277778.4
53413.40914 252928.77
63197.50762 315495.02
57404.75569 257250.09
80259.24003 420311.04
62592.35376 308995.72
47075.57529 207582.14
44444.71254 209651.72
56905.0827 278069.72
46043.99216 204041.9
45006.97844 179014.46
47630.56804 204106.32
49163.85754 218079.21
56087.47271 261491.14
41544.30524 178800.74
58855.80062 273530.03
62347.41604 325613.97
57244.67281 281427.6
61584.49916 290085.08
58997.79879 252881.31
64329.8906 305541.83
52245.42395 260409.85

Solutions

Expert Solution

1)

Income
Mean 54213.03577
Standard Error 1628.977904
Median 53413.40914
Mode #N/A
Standard Deviation 8772.31448
Sample Variance 76953501.33
Kurtosis 1.097222157
Skewness 0.780953031
Range 39142.8397
Minimum 41116.40033
Maximum 80259.24003
Sum 1572178.037
Count 29

1)

Mean 54213.03577

2)

Standard Deviation 8772.31448

3) and 4)

5)


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