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1. A pizza restaurant manager claims...

1. A pizza restaurant manager claims that eh average home delivery time for their pizza is no more than 18 minutes. A random sample of 36 home delivery pizzas was collected. The sample means was found to be 19.25 and the standard deviation was found to be 3.3 minutes. Is there evidence to reject the manager’s claim at alpha=0.2? Perform an appropriate hypothesis test, showing the necessary calculations and or explaining the process used to obtain the results.

2. A multiple choice exam contains 50 questions. Each question has 5 choices, one of which is correct. We are interested in knowing the probability guessing exactly 18 questions correctly.

(a) Is this a binomial experiment? Explain how you know

(b) (b) use the correct formula to find the probability of guessing exactly 18 questions out of 50 questions. Show your calculations or explain how you found the probability.

3. The monthly utility bills are normally distributed with a mean value of $130 and a standard deviation of $15.

(a) Find the probability of having a utility bill between $100 and $150

(b) Find the probability of having a utility bill less that $90

(c) Find the probability of having a utility bill more than $160

4. A mall manager claims that an average every customer spends$42 per a single visit to the mall. To test this claim, you took a sample of 49 customers and found the sample mean to be $39 and the standard deviation to be $9. At alpha = 0.95 the mall’s managers claim. Perform the appropriate hypothesis test, showing the necessary calculations and or explaining the process used to obtain the results.

5. A bank manager wanted to estimate the mean number of transactions business make per month. For a sample of 55 businesses, he found that mean number of transactions per month to be 32 and the standard deviation to be 7.5 transactions.

(a) Find the 90% confidence interval for the mean number of business transactions per month. Show your calculation or explain the process used to obtain the interval.

(b) Interpret this confidence and write a sentence that explains it.

6. A company’s CEO wanted to estimate the percentage of defective product per shipment. In a sample contaiing 600 products, he found 45 defective products.

(a) Find the 99% confidence interval for the true proportion of defective product. Show your calculations or explain your results.

(b) Interpret this confidence interval and write a sentence that explains it.

7. The ages of 10 students are listed in year {17,20,18,24,21,26,29,18,22,28}

(a) Find the mean, median, mode, sample variance, and range

(b) Do you think that this sample might have come from a normal population? Why or why not?

2. A multiple choice exam contains 50 questions. Each question has 5 choices, one of which is correct. We are interested in knowing the probability guessing exactly 18 questions correctly.

(a) Is this a binomial experiment? Explain how you know

(b) (b) use the correct formula to find the probability of guessing exactly 18 questions out of 50 questions. Show your calculations or explain how you found the probability.

3. The monthly utility bills are normally distributed with a mean value of $130 and a standard deviation of $15.

(a) Find the probability of having a utility bill between $100 and $150

(b) Find the probability of having a utility bill less that $90

(c) Find the probability of having a utility bill more than $160

4. A mall manager claims that an average every customer spends$42 per a single visit to the mall. To test this claim, you took a sample of 49 customers and found the sample mean to be $39 and the standard deviation to be $9. At alpha = 0.95 the mall’s managers claim. Perform the appropriate hypothesis test, showing the necessary calculations and or explaining the process used to obtain the results.

5. A bank manager wanted to estimate the mean number of transactions business make per month. For a sample of 55 businesses, he found that mean number of transactions per month to be 32 and the standard deviation to be 7.5 transactions.

(a) Find the 90% confidence interval for the mean number of business transactions per month. Show your calculation or explain the process used to obtain the interval.

(b) Interpret this confidence and write a sentence that explains it.

6. A company’s CEO wanted to estimate the percentage of defective product per shipment. In a sample contaiing 600 products, he found 45 defective products.

(a) Find the 99% confidence interval for the true proportion of defective product. Show your calculations or explain your results.

(b) Interpret this confidence interval and write a sentence that explains it.

7. The ages of 10 students are listed in year {17,20,18,24,21,26,29,18,22,28}

(a) Find the mean, median, mode, sample variance, and range

(b) Do you think that this sample might have come from a normal population? Why or why not?

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