Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 76 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.6 kilograms with a sample standard deviation of 7.07 kilograms. A second sample of 78 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.83 kilograms. Can you conclude that the mean weight loss of subjects having low-carb diets is greater than the mean weight loss of subjects having low-fat diets? Let μ₁ denote the mean weight lost on the ow-carb diet and ₂ denote the mean weight lost on the low-fat diet. Use the a= 0.01 level and the TI-84 Plus calculator.

Does the sample size ? affect the standard deviation of all possible samplemeans? Explain your answer.

Average adult Americans are about one inch taller but nearly a whopping 25 pounds heavier than they were in 1960, according to a report from the Centers for Disease Control and Prevention (CDC).  City A is considered one of America's healthiest cities.  Is the weight gain since 1960 similar in city A? A sample of n=25 adults suggested a mean increase of 22 pounds with a standard deviation of 9.4 pounds.  Is City A significantly different in terms of weight gain since 1960? Complete and interpret 5 step hypothesis testing by hand at a 5% level of significance using a Z-test.  Show each step and your work.

According to one study, the average hours of sleep on a weeknight for men was 6.9 hours with a standard deviation of 1.5 hours. These hours are normally distributed.  c. Find the proportion of men who sleep between 6-8 hours per night.  d. Find the number of hours that represents the 90th percentile.

The average home in the US is expected to cost $240,000. A random sample of 56 homes sold this month showed average price of $232,000. Assume you have access to this data. We are interested in determining cost if the cost of average home has decreased this month. If the test statistic is -1.66 what is the p-value?

In the class of 2019, more than 1.6 million students took the SAT. The distribution of scores on the math section (out of 800) is approximately normal with a mean of 528 and standard deviation of 117.  What proportion of students earned scores between 500 and 600 on the SAT math test?

Suppose we know that the aspirin content of aspirin tablets follows a Normal distribution with standard deviation of o= 5 mg.

Low-fat or low-carb? Are low-fat diets more effective for weight loss? A sample of 46 subjects went on a low carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.6 kilograms with a sample standard deviation of 6.28 kilograms. A second sample of 49 subjects went on a low-fat diet. Their sample mean weight loss was 2.3 kilograms with a standard deviation of 4.66 kilograms. Can you conclude that the mean weight loss differs between the two diets? Let μ1 denote the mean weight lost on the low-carb diet and μ2 denote the mean weight lost on the low-fat diet. Use the =α0.01level and the P-value method.   Compute the test statistic. Round the answer to three decimal places. t =

Are low-fat diets or low-carb diets more effective for weight loss? A sample of 78 subjects went on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 15.0 pounds with a sample standard deviation of 7.77 pounds. A second sample of 74 subjects went on a low-fat diet. Their sample mean weight loss was 16.3 with a standard deviation of 6.10. Can you conclude that the mean weight loss differed between the two diets? Use the a = 0.01 level.