1. It is suspected that the bags of French fries delivered to a fast food restaurant are lighter than what is specified in the supply contract. The manager of the restaurant would like to take a simple random sample of bags of French fries delivered and perform a statistic test to confirm that this is indeed the case.
2. What would be the null and alternative hypothesis for this research?
3. What is the type I error in this situation?
4. What is the type II error in this situation?
5. Consider this hypothesis test:
6. H₀: µ ≥ 30

H_a: µ < 30

A simple random sample with size 80 provided a sample mean of 29.5. Assume that the population standard deviation is 2.4

1. 1. Compute the test statistic.
   2. What is the p-value?
   3. Using α=0.05, what is your conclusion on the null hypothesis?
   4. Using α=0.05, find the critical value.
   5. Specify the rejection rule using the critical value approach. What is your conclusion?
2. A simple random sample of 100 items is taken from an inventory and the average unit cost on the items is $25. The population standard deviation σ is known to be $5.
   1. Test the hypothesis that the population mean is greater than $24.5 using the p-value approach and a 0.05 level of significance.
   2. Test the hypothesis that the population mean is different from $24.2. using the p-value approach and a 0.05 level of significance.
   3. Use α=0.05 and the critical value approach to test whether the population mean is less than 26.2.
3. Consider this hypothesis test:
4. H₀: µ ≤ 12.5

H_a: µ > 12.5

A simple random sample with size 100 provided a sample mean of 13.1 and a sample standard deviation of 2.25.

1. 
   
   1. Compute the test statistic and its degree of freedom.
   2. What is the p-value?
   3. Using α=0.05, what is your conclusion on the null hypothesis?
   4. Using α=0.05, find the critical value
   5. Specify the rejection rule using the critical value approach. What is your conclusion?

A simple random sample of 80 items is taken from an inventory and the average unit cost on the items is $23.4. The population standard deviation σ is not known. Instead the sample standard deviation s is also calculated from the sample and is found to be $5.2. (6 Points)

1. Test the hypothesis that the population mean is greater than $22 using the p-value approach and a 0.05 level of significance.
2. Test the hypothesis that the population mean is different from $24.2 using the p-value approach and a 0.05 level of significance.
3. Use α=0.05 and the critical value approach to test whether the population mean is less than $23.8.

Use BUSI1013-Case.xls and the description of this file in Assignment 1 to answer this question.

1. Perform a statistical test to see whether the average income of customers in the population is higher than $48,500. Use the p-value approach and a 0.05 level of significance.
2. Perform a statistical test to see whether the average age of customers in the population is less than 46.4. Use the critical value approach and a 0.05 level of significance?
3. Consider this hypothesis test:
4. H₀: p ≥ 0.45

H_a: p < 0.45

A simple random sample with size 500 provided a sample proportion of 0.41

1. 1. Compute the test statistic.
   2. What is the p-value?
   3. Using α=0.05, what is your conclusion on the null hypothesis?
   4. Using α=0.05, find the critical value.Specify the rejection rule using the critical value approach. What is your conclusion?

The proportion of female customers in a recent satisfaction survey of 500 listeners for a Toronto radio station is found to be 0.535.

1. Test the hypothesis that the population proportion is greater than 0.5 using the p-value approach and a 0.05 level of significance.
2. Test the hypothesis that the population proportion is different from 0.55 using the p-value approach and a 0.05 level of significance.
3. Use α=0.05 and the critical value approach to test whether the population proportion is less than 0.56.

Use BUSI1013-Case.xls and the description of this file in Assignment 1 to answer this question.

1. Perform a statistical test to see whether the proportion of male customers in the population is lower than 49.5%. Use the p-value approach and a 0.05 level of significance.
2. Perform a statistical test to see whether proportion of customers who would recommend the Credit Union to their friends before the pilot is greater than 0.61. Use the critical value approach and a 0.05 level of significance.