You wish to test the following claim (HaHa) at a significance level of α=.02.       Ho:p=0.59       Ha:p>0.59 You obtain a sample of size n=137 in which there are 99 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. a.) The sample proportion p^=    (write as a fraction) b.) What is the test statistic for this sample? (Report answer accurate to 2 decimal places.) test statistic =  c.) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =  d.) The p-value is... a.)less than (or equal to) αα b.)greater than α

Consider a population distribution of means that come from a normal distribution. The mean of the score distribution(μ)=100 and the standard deviation (σX) =10 and the means are from sample size=16. What is the proportion of means above a means of102.5?

A company produces steel rods. The lengths of the steel rods are distributed with a mean of 102.3-cm and a standard deviation of 2-cm. For shipment, 7 steel rods are bundled together. Round all answers to four decimal places if necessary. Note: When writing the distributions, they should be of the form (mean, variance) a. What is the distribution of X? X ~ ( b. What is the distribution of X? X~ N( c. For a single randomly selected steel rod, find the probability that the length is between 102.5-cm and 103.5-cm. d. For a bundled of 7 rods, find the probability that the average length is between 102.5-cm and 103.5- cm. e. For part d), is the assumption of normal necessary? Yes No

Suppose n =42 and p =0.34 Can we approximate p by a normal distribution? Np=        Nq=

Suppose you are constructing a CI for a mean using T distribution and your sample size is 33. What would tge degree of freedom be for the t distribution that you would be using