Newspaper Reading Times A survey taken several years ago found that the average time a person spent reading the local daily newspaper was 10.8  minutes. The standard deviation of the population was 3  minutes. To see whether the average time had changed since the newspaper's format was revised, the newspaper editor surveyed 35  individuals. The average time that the 35 people spent reading the paper was 12.2 minutes. At α=0.10, is there a change in the average time an individual spends reading the newspaper? Find the 90%  confidence interval of the mean.   (a) State the hypothesis and identify the claim with the correct hypothesis. :H0  ▼(Choose one) claim/not claim :H1  ▼(Choose one) claim/not claim This hypothesis test is a ▼(Choose one) one tailed/two talied test. (b)Find the critical value(s). Round the answer to 2  decimal places, if necessary.       Critical values: (c)Compute the test value. Round the answer to at least  2 decimal places, if necessary. z=   (d)Make the decision.   ▼(Choose one) reject/do not reject the null hypothesis.       (e)Summarize the results.   There ▼(Choose one) enough evidence to support the claim that there is a change in the average time an individual spends reading the newspaper. Find the 90% confidence interval of the mean. Round the answers to nearest whole number.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...