StatProb Module 5 Exercise 2

The leader of the association of jeepney drivers claims that the average take home pay of jeepney drivers in Quezon City is Php 500. You want to find out if the average daily take home pay of jeepney drivers in Quezon City is different from Php 500. Determine the null and alternative hypotheses.

The leader of the association of jeepney drivers claims that the average take home pay of jeepney drivers in Quezon City is Php 500. You want to find out if the average daily take home pay of jeepney drivers in Quezon City is different from Php 500. A random sample of 100 jeepney drivers in Quezon City was interviewed and the average daily take home pay of these drivers is found to be Php 525 with a standard deviation of 92. Using a 0.10 significance level, do you reject or fail to reject the null hypotheses?

• Reject the null hypothesis

• Fail to reject the null hypothesis

A fast food restaurant estimates that the mean sodium content of one of its breakfast sandwiches is not more than 920 milligrams. Determine the null and alternative hypotheses.

You test whether a new drug intervention can alleviate symptoms of an autoimmune disease. The null hypothesis is that the new drug has no effect on symptoms of the disease. The alternative hypothesis is that the drug is effective for alleviating symptoms of the disease. When will a Type I error occur?

• You conclude that the drug intervention improved symptoms when it actually didn't.

• You conclude that the drug intervention didn't improve symptoms when it actually did.

• ou conclude that the drug intervention improved symptoms and it actually does.

• You conclude that the drug intervention didn't improve symptoms and it actually doesn't.

A fast food restaurant estimates that the mean sodium content of one of its breakfast sandwiches is not more than 920 milligrams. A random sample of 29 breakfast sandwiches has a mean sodium content of 925. Assume that the population standard deviation is 18 milligrams and that the population is normally distributed. At a significance level of 0.05, do you have enough evidence to reject the restaurant's claim?

• Yes

• No

A used car dealer says that the mean price of a 2017 Honda CR-V is at least Php 800,000. Determine the null and alternative hypotheses.

A used car dealer says that the mean price of a 2017 Honda CR-V is at least Php 800,000. A random sample of 14 similar vehicles has a mean price of Php 780,000 and a standard deviation of Php 54,000. Assume the population is normally distributed. Using a significance level of 0.01, determine the critical value (3 d.p.).

A used car dealer says that the mean price of a 2017 Honda CR-V is at least Php 800,000. A random sample of 14 similar vehicles has a mean price of Php 780,000 and a standard deviation of Php 54,000. Assume the population is normally distributed. Using a significance level of 0.01, what is the decision?

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Which value separates the rejection region from the non-rejection region?

• Critical value

• test statistic

• level of significance

• alpha

Which of the following will result in a correct decision? Check all that apply

• the null hypothesis is true, and you fail to reject it

• the null hypothesis is false, and you fail to reject it

• the null hypothesis is true, and you reject it

• the null hypothesis is false, and you reject it