Question A physician wants to test if temperature has an effect on heart rate. In order to do this, she compares the heart rate in beats per minute of several random volunteers after a period of time in a room with a temperature of 50°F and after a period of time in a room with a temperature of 75°F. Find the test statistic and degrees of freedom for an appropriate hypothesis test if for 11 volunteers, the average difference in heart rate is 3.41 beats per minute with a calculated standard deviation of 2.01 beats per minute, Round the test statistic to three decimal places. Provide your answer below: , df

Question #2 A diet guide claims that you will get 120 calories in a serving of vanilla yogurt. Consumer Reports tested 14 brands of vanilla yogurt and found the following numbers of calories per serving: 160 200 220 230 120 180 140 130 170 190 80 120 100 170 Test the claim that the mean number of calories per serving of vanilla yogurt is 120. Use a significance level of 0.05. Show all the steps of your hypothesis test including  The claim being tested: The null and alternative hypothesis: The test statistic

Two separate samples, each with 16 individuals, receive two different treatments. After treatment, the first sample has SS = 1540 and the second has SS = 1460. If the sample mean difference is 10 points (i.e., M1 -  M2 = 10), compute the t-statistic.   If it is a decimal number, include the numbers after the decimal point. If it is a decimal number with two or more than two places, leave only two decimal places after the decimal point. Please do not round. The t-statistic is

IQ tests are approximately normally distributed with a mean of 100 for adults. A tech company CEO wants to conduct a hypothesis test to see if the average IQ of employees at high-tech firms in California is higher than average. What is Type I error in the context of this problem?

Molly works for a meat producer, and she needs to determine whether containers of ground beef have the correct fat content. She obtains a random sample of 120 containers of ground beef and finds that 84 percent have the correct fat content. Molly then conducts a hypothesis test of H0:p=0.80H0:p=0.80 versus Ha:p≠0.80Ha:p≠0.80 and calculates a test statistic of 1.10 with a pp-value of 0.273. Which of the following best represents the meaning of the pp-value?     If the population proportion is 0.84, the probability of observing a sample proportion of 0.80 is 0.273. A If the population proportion is 0.84, the probability of observing a sample proportion of at least 0.04 less than 0.84 is 0.273. B If the population proportion is 0.80, the probability of observing a sample proportion within 0.04 of 0.80 is 0.273. C If the population proportion is 0.80, the probability of observing a sample proportion at least 0.04 greater than 0.80 is 0.273. D If the…

A small pilot study is conducted to investigate the effect of a nutritional supplement on total body weight. Six participants agree to take the nutritional supplement.  To assess its effect on body weight, weights are measured before starting the supplementation and then after 6 weeks.  The data are shown below.  Is there a significant increase in body weight following supplementation?  Run the test at a 5% level of significance. Demonstrate the five steps for hypothesis testing and explain your results.   Subject Initial Weight Weight after 6 Weeks 1 155 157 2 142 145 3 176 180 4 180 175 5 210 209 6 125 126

Approximately 10%10% of Americans are left-handed (we will treat this as a known population parameter). A study on the relationship between handedness and profession found that in a random sample of 105 lawyers, 16 of them were left-handed.1 Test the hypothesis that the proportion of left-handed lawyers differs from the proportion of left-handed Americans.     Clearly state the null and alternative hypotheses.Let pp be the proportion of left-handed lawyers.           Calculate the test statistic and p-value.Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.test statistic = Enter your answer; test statisticp-value = Enter your answer; p-value               What do we conclude at the 5% significance level? At the 10% significance level? Significance Level Conclusion 5% Choose the answer from the menu; What do we conclude at the 5% significance level?…

The temperature on randomly selected days throughout the year were measured. Is this an observational study or an experiment? O experiment O observational study

“Children whose parents smoke in their presence are more likely to develop asthma than children whose parents do not smoke in their presence.” How many tails should be used when looking up the t test statistic for this study?   Question 6 options:   one tail   two tails   Either one tail or two tails - it doesn't matter   there is not enough information to tell.

According to previous studies, 12% of the U.S. population is left-handed. Not knowing this, a high school student claims that the percentage of left-handed people in the U.S. is 14%. The student is going to take a random sample of 1650 people in the U.S. to try to gather evidence to support the claim. Let p be the proportion of left-handed people in the sample. Answer the following. (If necessary, consult a list of formulas.) ✔ (a) Find the mean of p. P. 0 (b) Find the standard deviation of p. (c) Compute an approximation for P (P<0.14), which is the probability that there will be 14% or fewer left-handed people in the sample. Round your answer to four decimal places. X