A household appliance company is interested in understanding the average price that consumers pay for a washing machine

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A household appliance company is interested in understanding theaverage price that consumers pay for a washing machine (forlaundry). They obtained a random sample of 100 households toaddress this issue. In the sample, the average consumer reportedpaying $968. Assume you do not know the population mean, but youknow that the population standard deviation is equal to $125. Usinga significance level of 0.05, answer the questions below: (a) Isthere enough evidence to suggest that the average price differsfrom $1000? Conduct a hypothesis using the test statistic methodand interpret your result. (6 points) (b) Re-do part (a) using asignificance level of 10%. (5 points) (c) Re-do part (a) using thep-value method. (5 points)