Concept explainers
Please provide the following information for Problems 11–22.
- (a) What is the level of significance? State the null and alternate hypotheses.
- (b) Check Requirements What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. Compute the appropriate sampling distribution value of the sample test statistic.
- (c) Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P-value.
- (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?
- (e) Interpret your conclusion in the context of the application.
Note: For degrees of freedom d.f. not given in the Student’s t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more “conservative” answer.
14. Fishing: Trout Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is μ = 19 inches. However, the Creel Survey (published by the Pyramid Lake Paiute Tribe Fisheries Association) reported that of a random sample of 51 fish caught, the mean length was
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Understandable Statistics: Concepts and Methods
- For any sample of size 100, the population mean, the mean of the sampling distribution for the sample means, and the sample mean will always be equal to each other. True Falsearrow_forwardQUESTION 1 Suppose that a survey was commissioned by the Ministry of Finance in order to determine the income of local vendors as part of their project aimed at investigating the feasibility of the presumptive tax. A sample of 26 local vendors was selected and their sample mean monthly income and variance was found to be $ 7 600 and $1 250 ($ squared), respectively. a) A representative of the local vendors argues that the local vendors‘ average monthly income is not more than $ 7 500. Conduct a hypothesis test at a 2.5% level of significance to determine the validity of the claim made by the local vendors’ representative? b) If the hypothesis test in (a) was to be conducted at a level of significance greater than 2.5%, what will be the conclusion? c) Explain the reasons for hypothesis testing using a practical example?arrow_forward
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