In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its french fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that 97 out of 100 people cannot detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion), what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's,  At least 44 can taste the difference between the two oils?  At most 5% can taste the difference between the two oils?

Water availability is of prime importance in the life cycle of most reptiles. To determine the rate of evaporative water loss of a certain species of lizard at a particular desert site, 34 such lizards were randomly collected, weighed and placed under the appropriate experimental conditions. After 24 hours, each lizard was removed, weighed, and its total water loss was calculated by subtracting its body weight after treatment from its initial body weight. Previous studies have shown that the relative frequency distribution of water loss for this species of lizard has a mean of 3.1 grams and a s.d. of 0.8 gram. a) What is the approximate sampling distribution of x , the mean water loss of the 34 lizards

A random sample of patient records from a large medical facility were taken and subjects were classified by smoking status and cholesterol levels. The results are summarized in the table with observed counts next to expected values in parentheses followed by the Chi-square component for each cell in brackets. Cholesterol Level Never Smoked 80 (68.86) [1.80] 49 (48.55) [0.00] 28 (39.59) [3.40] Totals 157 Low Moderate High Smoking Status Former Smoker 63 (63.16) [0.00] 37 (44.53) [1.27] 44 (36.32) [1.63] 144 Current Smoker 57 (67.98) [1.77] 55 (47.93) [104] 43 (39.09) [0.39] 155 Totals 200 141 115 456 Write the appropriate hypotheses if the researchers are interested in whether there is a relationship between smoking status and cholesterol levels.

Teenagers who do not sleep well or long enough may have a higher risk of raised blood pressure, which could lead to cardiovascular disease later in life. The odds of raised blood pressure increase 3.5 times for those who have trouble falling asleep at night or who wake up too early and 2.5 times for those with sleeping periods of fewer than 6.5 hours. A health psychologist is interested in studying teenagers who have diastolic blood pressure scores in the top 20%. Diastolic blood pressure scores for teenagers follow a normal distribution with μ = 72 and σ = 10. Use the Distributions tool to help answer the questions that follow.     The minimum z-score necessary to be in the top 20% of the diastolic blood pressure distribution is z =0.842   .   Use this z-score to determine X, the corresponding diastolic blood pressure score. X = 80.42      This score, X, is the 80th    percentile of diastolic blood pressure scores among teenagers. The percentile rank of this score is 80%…

A random sample of patient records from a large medical facility were taken and subjects were classified by smoking status and cholesterol levels. The results are summarized in the table with observed counts next to expected values in parentheses followed by the Chi-square component for each cell in brackets. Cholesterol Level Never Smoked 80 (68.86) [1.80] 49 (48.55) [0.00] 28 (39.59) [3.40] Totals 157 Low Moderate High Smoking Status Former Smoker 63 (63.16) [0.00] 37 (44.53) [1.27] 44 (36.32) [1.63] 144 Current Smoker 57 (67.98) [1.77] 55 (47.93) [104] 43 (39.09) [0.39] 155 Discuss briefly if the conditions for this test have been met. Totals 200 141 115 456

An apple juice producer buys all his apples from a conglomerate of apple growers in one northwest state. The amount of juice squeezed from each of these apples is approximately normally distributed with a mean of 2.06 ounces and a standard deviation of 0.16 ounce. What is the probability that a randomly selected apple will contain more than 2.35 ounces?

An economist studying inflation in electricity prices in 2018 and 2019 believes that the average price of electricity, even after adjusting for inflation, changed between these two years. To test his claim, he samples 9 different counties and records the average price of electricity in each county from each year. He then adjusts the prices for inflation. His results are given in the following table. Test the economist’s claim at the 0.05 level of significance assuming that the population distribution of the paired differences is approximately normal. Let prices in 2018 be Population 1 and prices in 2019 be Population 2.  Average Residential Retail Prices of Electricity ($/kWh) 2018 2019 19.32 18.19 15.00 13.69 11.20 12.72 14.48 14.51 14.15 12.23 19.17 17.21 13.13 11.29 17.62 15.89 19.06 17.71 Step 1 of 3:  State the null and alternative hypotheses for the test. Fill in the blank below Step 2 of 3:  Compute the value of the test statistic. Round your…

Contaminated water: Polychlorinated biphenyls (PCBS) are a group of synthetic oil-like chemicals that were at one time widely used as insulation in electrical equipment and were discharged into rivers. They were discovered to be a health hazard and were banned in the 1970s. Assume that water samples are being drawn from a river in order to estimate the PCB concentration. Suppose that a random sample of size 80 has a sample mean of 1.90 parts per billion (ppb). Assume the population standard deviation is o = 0.26 ppb. Part 1 of 3 ▬▬ esc (a) Construct a 98% confidence interval for the PCB concentration. Use tables or technology. Round your answers to at least two decimal places. The confidence interval is 1.83 1.97 Part 2 of 3 Skip Part Check Type here to search 12 2 # * 3 14 $ 4 D Et % 5 6 & 7 4+ Save For Later © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center 55°F 8 9 ho Submit. ► 11 d 1 3/

The Kyoto Protocol was signed in 1997, and required countries to start reducing their carbon emissions. The protocol became enforceable in February 2005. In 2004, the mean CO2 emission was 4.87 metric tons per capita. In 2010, the CO2 emissions for a random sample of 31 countries were collected. Is there enough evidence to show that the mean CO2 emission is lower in 2010 than in 2004? State the random variable, population parameter, and hypotheses. The symbol for the random variable involved in this problem is            The wording for the random variable in context is as follows:          The symbol for the parameter involved in this problem is            The wording for the parameter in context is as follows:          Fill in the correct null and alternative hypotheses:�0:                    ��:                     A Type I error in the context of this problem would be                A Type II error in the context of this problem would be