A scientist would like to test if a certain vaccine’s side effect is increased heart rate. To test this claim, a random sample of 35 human subjects were tested and it was found out that their average resting heart rate is 87 beats per minute (bpm). Studies suggest that the average resting heart rate of a normal adult is around 80 beats per minute (bpm) with a standard deviation of 20 beats per minute (bpm). Which of the conclusion is supported by the data at 0.01 level of significance?  a. The vaccine does not significantly increase the average resting heart rate.  b. There is no sufficient evidence to say that the vaccine significantly increase the average resting heart rate.  c. The vaccine significantly increase the average resting heart rate.  d. There is no sufficient evidence to say that the vaccine does not significantly increase the average resting heart rate

A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 8 years. A survey of 113 companies reported in The Wall Street Journal found a sample mean tenure of 6.3 years for CEOS with a standard deviation of s = 5.1 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed. You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of = 0.001. Your hypotheses are: H.: µ > 8 На: и < 8 What is the test statistic for this sample? test statistic = (Report answer accurate to 3 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... reject the null accept the null…

The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720. She finds that a random sample of 60 people had a mean FICO score of 695 with a standard deviation of 65. Can the economist conclude that the mean FICO score is less than 720? Use the =α0.05 level of significance and the P -value method. State the appropriate null and alternate hyopthesis

A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 9 years. A survey of 69 companies reported in The Wall Street Journal found a sample mean tenure of 8.8 years for CEOs with a standard deviation of s=s= 4 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed.You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of α=0.10α=0.10. Your hypotheses are:      Ho:μ=9Ho:μ=9      Ha:μ<9Ha:μ<9What is the test statistic for this sample?test statistic =  (Report answer accurate to 3 decimal places.) What is the p-value for this sample?p-value =  (Report answer accurate to 4 decimal places.)  The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to...…