For the questions below, consider the hprice1 data set where the current housing price average is $293000 with a standard deviation of $102100 from a survey of 88 households. According to prior data, the average housing price in this area was $270,000. What are the hypotheses to test to see if housing prices have increased?          What is the p-value for the above test?        At α = 0.05, what is your conclusion?

Suppose that mean retail price per gallon of regular grade gasoline is $3.41 with a standard deviation of $0.10 and that the retail price per gallon has a bell-shaped distribution. NOTE: Please use empirical rule approximations for this problem. a. What percentage of regular grade gasoline sells for between $3.21  and $3.61  per gallon (to 1 decimal)?   b. What percentage of regular grade gasoline sells for between $3.21 and $3.51 per gallon (to  1 decimal)?   c. What percentage of regular grade gasoline sells for more than $3.51  per gallon (to 1  decimal)?

The contents of 3232 cans of Coke have a mean of ?⎯⎯⎯=12.15x¯=12.15 and a standard deviation of ?=0.12.s=0.12. Find the value of the test statistic ?t for the claim that the population mean is ?=12.μ=12.

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.8 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 6 samples is 4.6 pm with a standard deviation of 1.0 Does the data support the claim at the 0.05 level? Assume the population distribution is approximately normal. Step 4 of 5 :  Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Suppose that the heights of adult men in the United States are normally distributed with a mean of 70 inches and a standard deviation of 3.5 inches. What proportion of the adult men in the United States are at most 6 feet tall? (Hint: 6 feet 72 inches.) Round your answer to at least four decimal places.

A data set consisting of 175 standardized test scores is known to have a bell-shaped (normal) distribution with a mean of 71 and a standard deviation of 9. Use the Empirical Rule to address the following questions. Hint: sketch the distribution to help visualize the problem. Approximately 95% of the test scores lie between 53 and 89 What approximate percentage of the test scores lie between the scores 44 and 98? What approximate percentage of the test scores lie between the scores 62 and 80? 68 Question Help: Video Submit Question

Suppose that the heights of adult men in the United States are normally distributed with a mean of  70.5  inches and a standard deviation of  3.5  inches. What proportion of the adult men in United States are less than  6  feet tall? (Hint:  6  feet  =72  inches.) Round your answer to at least four decimal places.

Based on data from a​ college, scores on a certain test are normally distributed with a mean of 1531 and a standard deviation of 324. Complete parts​ below. c. Find the percentage of scores between 1369 and 1661.

Using the data from FIgure 1 below: Are the mean weights of young adult men and women significantly different from each other? Assume population standard deviations are equal. Use α = 0.05. Use α = 0.01. What is the p-value of this test? Did the assumption of equal population standard deviations seem tenable in this case? Suppose you were unwilling to assume equal population standard deviations above. How would your results change? Figure 1: ID Female Age Height Weight 6 0 25 65 200 18 0 27 66 155 77 1 21 63 135 80 0 22 68 130 84 0 22 68 184 100 1 22 66 127 119 0 28 71 155 150 0 26 66 110 157 1 23 63 150 184 1 24 65 120 219 1 26 65 110 227 1 28 63 135 232 0 24 69 150 270 0 23 68 150 285 1 24 61 137 297 1 28 62 175 349 0 27 66 180 383 0 25 68 140 446 1 27 61 97 448 0 21 68 150 454 1 24 68 125 462 1 25 69 150 479 0 22 73 145 505 0 26 71 195 556 0 28 72 215 573 0 24 72 155 585 1 22 61 110 596 0 23 68 150 646 1 23 61 128…