Identify the null and alternative hypotheses, test statistic, critical value(s) or p-value (or range of p-values) as appropriate, and state the final conclusion that addresses the original claim. a cereal company claims that the mean weight of the cereal in its packets is 14 oz. the weights (in ounces) of the cereal in a random sample of 8 of its cereal packets are listed below. 14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2 test the claim at the 0.01 significance level. h0: μ = 14 oz. h1: μ 14 oz. test statistic: t = 0.408 critical values: t = ±3.499. fail to reject h0. there is not sufficient evidence to warrant rejection of the claim that the mean weight is 14 ounces. assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2, use the given sample sizes and numbers of successes to find the pooled estimate p. n1 = 100 n2 = 100 x1 = 33 x2 = 36 a) 0.241 b) 0.380 c) 0.310 d) 0.345

Step-by-step explanation:

Given that  A cereal company claims that the mean weight of the cereal in its packets is 14 oz

Test the claim at the 0.01 significance level.H0: μ = 14 oz. H1: μ 14 oz.

Parameter  Value

Mean  14.050

SD  0.346

SEM  0.122

N  8      

90% CI  13.818 to 14.282

95% CI  13.760 to 14.340

99% CI  13.621 to 14.479

Minimum  13.6

Median  14.05

Maximum  14.6

Test statistic: t = 0.408

Critical values: t = ±3.499.

Since test statistic falls within the critical values, we accept the null hypothesis at 1% significance.

Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that the mean weight is 14 ounces.

Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2, Use the given sample sizes and numbers of successes to find the pooled estimate p. n1 = 100 n2 = 100 x1 = 33 x2 = 36

proportion difference = 0.03

the size of the resulting matrix is 1-by-3.

step-by-step explanation:

the size of the two matrices given are as follows:

no .of rows of matrix 1 = 1

no .of columns of matrix 1 = 3

no .of rows of matrix 1 = 3

no .of columns of matrix 1 = 3

to find the size of the resulting matrix without actually solving the multiplication of the matrix, this is what you do:

if resulting matrix = matrix 1 * matrix 2

no. of rows of the resulting matrix = number of rows of matrix 1

no. of columns of resulting matrix = number of columns of matrix 2

note: the order of the matrices matter!

250

step-by-step explanation: