A certain manufactured product is supposed to contain 23% potassium by weight. A sample of 10 specimens of this product had an average percentage of 23.2 with a standard deviation of 0.2. If the mean percentage is found to differ from 23, the manufacturing process will be recalibrated. a) State the appropriate null and alternate hypotheses. b) Compute the P-value. c) Should the process be recalibrated? Explain.

From a sample with n= 36, the mean duration of a geyser's eruptions is 3.66 minutes and the standard deviation is 0.76 minutes. Using Chebychev's Theorem, determine at least how many of the eruptions lasted between 1.38 and 5.94 minutes. At least of the eruptions lasted between 1.38 and 5.94 minutes. (Simplify your answer.)

The tensile strengths of two types of materials were investigated by collecting 16 samples of each material (totally 32 samples).The sample mean for material 1 was 423.08 (psi), and for material 2 was 424.7 (psi). The samplestandard deviation of the difference in tensile strengths was sD = 2.8 (psi). Is there sufficientevidence to conclude that two types of materials have the same tensile strength? Formulate andtest the appropriate null H0 and alternative hypotheses H1 to verify the claim at level α = 0.01

An IQ test is designed so that the mean is 100 and the standard deviation is 24 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 8 IQ points of the true mean. Assume that o = 24 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. ... The required sample size is. (Round up to the nearest integer.) Would it be reasonable to sample this number of students? O No. This number of IQ test scores is a fairly small number. Yes. This number of IQ test scores is a fairly small number. Yes. This number of IQ test scores is a fairly large number. No. This number of IQ test scores is a fairly large number.

The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 260.4 and a standard deviation of 60.2. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 79.8 and 441.0? b. What is the approximate percentage of women with platelet counts between 140.0 and 380.8? ..I. a. Approximately % of women in this group have platelet counts within 3 standard deviations of the mean, or between 79.8 and 441.0. (Type an integer or a decimal. Do not round.)

The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 62.2. (All units are 1000 cells/uL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 68.5 and 441.7? b. What is the approximate percentage of women with platelet counts between 192.9 and 317.3? a. Approximately % of women in this group have platelet counts within 3 standard deviations of the mean, or between 68.5 and 441.7. (Type an integer or a decimal. Do not round.)

Assume all populations are normally distributed. A travel analyst claims that the mean price of a round trip flight from New York City to Los Angeles is less than $507. In a random sample of 55 round trip flights from NYC to LA, the mean price is $502. Assume the population standard deviation is $111. At α = 0.05, is there enough evidence to support the travel analyst’s claim?