2. According to last year's report, a Filipino household spends an average of Php400.00 per day for food. Suppose you recently took a random sample of 25 households. You determined how mucheach household spent for food each day and the results revealed a mean of Php390.00 and a standard deviation of Php21.50. Using a 0.01 level of significance, can it be concluded that the average amount spent per day for food has decreased? Assume normality over the population. Solution: Step 1: State the hypothes is. Ho: На: Step 2: The level of significance and critical value. Level Significance a = df = tcritical = Type of test: Step 3: Compute for the value of one sample z test. Step 4: Decisionrule, Step 5: Conclusion

Suppose the distribution of typing speeds in words per minute for experienced typists can be approximated by a normal curve with a mean of 60 wpm and a standard deviation of 15 wpm. To be considered for a position an applicant needs to have a typing speed of at least 70 wpm. If 62 experienced typists apply for the job, how many of these would be considered based on their typing speed?

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 ? = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s = 2.7 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05. Solve the problem using the critical region method of testing (i.e., traditional method). (Round the your answers to three decimal places.)   test statistic =   critical value =   State your conclusion in the context of the application. Reject the null hypothesis, there is sufficient evidence that the average fish length is less than 19 inches.Reject the null hypothesis, there is insufficient evidence that the average fish length is less than 19 inches.    Fail to reject the null hypothesis, there is…

According to Chebyshev's Teorem, at least what percentage of snake lengths are within K= 2.9 standard deviations of the mean?

Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?

The gas mileage for a new model of car is normally​ distributed, with a standard deviation of 3.5 miles per gallon. If only​ 4% of the cars have a gas mileage of above 20​ mpg, what is the mean of the​ distribution

If the mean of a set score is 65 and the standard deviation is 15, what is the zscore of a person whose raw score is 50?

The average cost for one year of college is $20,000 with a standard deviation of $2,000. Also, it is known that the costs are normally distributed. What are the minimum and the maximum cost of the middle 95% of college students?