A used car dealer says that the mean price of a three-year-old sports utility vehicle is $21,000. You suspect this claim is incorrect and find that a random sample of 24 similar vehicles has a mean price of $21,773 and a standard deviation of $1996. Is there enough evidence to reject the claim at a=0.10? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify Ho and H. Which of the following correctly states H, and H, ? OA H: µ $21,000 Ho: H#$21,000 H p=$21,000 C. Ho =$21,000 H:u#$21,000 Hu<$21,000 TO D. H: p>$21,000 Ho: p= $21,000 H p> $21,000 F Ho:u=$21,000 H u< $21,000 con Hius$21,000 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? (Use a comma to separate answers as needed. Round to three decimal places as needed.)

Diastolic blood pressure is a measure of the pressure when arteries rest between heartbeats. Suppose diastolic blood pressure levels in women are normally distributed with a mean of 70.8 mm Hg and a standard deviation of 10.8 mm Hg. Complete parts (a) and (b) below. a. A diastolic blood pressure level above 90 mm Hg is considered to be hypertension. What percentage of women have hypertension? % (Round to two decimal places as needed.) b. If we randomly collect samples of women with 16 in each sample, what percentage of those samples have a mean above 90 mm Hg? (Round to two decimal places as needed.)

Moviegoers The average "moviegoer" sees 8.5 movies a year. A moviegoer is defined as a person who sees at least one movie in a theater in a 12-month period. A random sample of 47 moviegoers from a large university revealed that the average number of movies seen per person was 9.1. The population standard deviation is 3.2 movies. At the 0.10 level of significance, can it be concluded that this represents a difference from the national average? Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. H: u = 8.5 not claim H, : u + 8.5 claim This hypothesis test is a two-tailed test. Part 2 of 5 Find the critical value(s). Round the answer to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s):-1.645, 1.645 Part: 2 /5 Part 3 of 5 Compute the test value. Always round z score values to at least two decimal places.

A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $26.60 with a standard deviation of $3.78. Based on this information, complete the following statements about the distribution of the company's fares from O'Hare Airport to the Drake Hotel.     (a)According to Chebyshev's theorem, at least ______% of the fares lie between 19.04 dollars and 34.16 dollars. (b)According to Chebyshev's theorem, at least  84% of the fares lie between  dollars anddollars.  (Round your answer to 2 decimal places.)       BIG Corporation produces just about everything but is currently interested in the lifetimes of its batteries, hoping to obtain its share of a market boosted by the popularity of portable CD and MP3 players. To investigate its new line of Ultra batteries, BIG randomly selects 1000 Ultra batteries and finds that they have a mean lifetime of 908 hours, with a standard deviation of 99 hours. Suppose that this mean…