The college bookstore tells prospective students that the average cost of its textbooks is 60 and less, with a standard deviation of 4.50. A group of smart statistics students thinks that the average cost is higher. In order to test the bookstore’s claim against their alternative, the students will select a random sample of size 100. Assume that the mean from their random sample is 60.20. Perform a hypothesis test at the 10% level of significance and state your decision.

Answer : Given : Sample mean $(x\bar) = 60.2$ Population standard deviation $(σ) = 4.5$ Sample size $(n) = 100$ Significance level $(α) = 0.10$ Solution : The null and alternative hypothesis, $H_0 : \mu \leq 60$ $H_1 : \mu…

A researcher claims that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B. The stomach contents of a sample of 14 blue crabs from Location A contain a mean of 180 milligrams of fish and a standard deviation of 36 milligrams. The stomach contents of a sample of 11 blue crabs from Location B contain a mean of 175 milligrams of fish and a standard deviation of 42 milligrams. At α = 0.05, can you support the researcher’s claim? Assume the population variances are equal. Complete parts (a) through (d) below.

(a) Identify the null and alternative hypotheses. Choose the correct answer below. (b) Find the standardized test statistic for μ1 – μ2. t = ___ (Round to three decimal places as needed.) (c) Calculate the P-value. P = ___ (Round…

A researcher claims that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B. The stomach contents of a sample of 17 blue crabs from Location A contain a mean of 193 milligrams of fish and a standard deviation of 37 milligrams. The stomach contents of a sample of 10 blue crabs from Location B contain a mean of 186 milligrams of fish and a standard deviation of 44 milligrams. At α = 0.05, can you support the researcher’s claim? Assume the population variances are equal. Complete parts (a) through (d) below.

(a) Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ1 – μ2 ≥ 0 Ha: μ1 – μ2 < 0 B. H0: μ1 – μ2 < 0 Ha: μ1 – μ2 = 0 C. H0:…

A researcher claims that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B. The stomach contents of a sample of 18 blue crabs from Location A contain a mean of 185 milligrams of fish and a standard deviation of 40 milligrams. The stomach contents of a sample of 12 blue crabs from Location B contain a mean of 180 milligrams of fish and a standard deviation of 41 milligrams. At α = 0.05, can you support the researcher’s claim? Assume the population variances are equal. Complete parts (a) through (d) below.

(a) Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ1 – μ2 ≥ 0 Ha: μ1 – μ2 < 0 B. H0: μ1 – μ2 < 0 Ha: μ1 – μ2 = 0 C. H0:…

A researcher claims that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B. The stomach contents of a sample of 15 blue crabs from Location A contain a mean of 200 milligrams of fish and a standard deviation of 38 milligrams. The stomach contents of a sample of 11 blue crabs from Location B contain a mean of 192 milligrams of fish and a standard deviation of 43 milligrams. At α = 0.05, can you support the researcher’s claim? Assume the population variances are equal. Complete parts (a) through (d) below.

(a) Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ1 – μ2 ≥ 0 Ha: μ1 – μ2 < 0 B. H0: μ1 – μ2 < 0 Ha: μ1 – μ2 = 0 C. H0:…

A researcher claims that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B. The stomach contents of a sample of 16 blue crabs from Location A contain a mean of 195 milligrams of fish and a standard deviation of 42 milligrams. The stomach contents of a sample of 10 blue crabs from Location B contain a mean of 189 milligrams of fish and a standard deviation of 47 milligrams. At α = 0.05, can you support the researcher’s claim? Assume the population variances are equal. Complete parts (a) through (d) below.

(a) Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ1 – μ2 ≥ 0 Ha: μ1 – μ2 < 0 B. H0: μ1 – μ2 < 0 Ha: μ1 – μ2 = 0 C. H0:…

A researcher claims that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B. The stomach contents of a sample of 14 blue crabs from Location A contain a mean of 190 milligrams of fish and a standard deviation of 39 milligrams. The stomach contents of a sample of 9 blue crabs from Location B contain a mean of 188 milligrams of fish and a standard deviation of 45 milligrams. At α = 0.05, can you support the researcher’s claim? Assume the population variances are equal. Complete parts (a) through (d) below.

(a) Identify the null and alternative hypotheses. Choose the correct answer below. (b) Find the standardized test statistic for μ1 – μ2. t = ___ (Round to three decimal places as needed.) (c) Calculate the P-value. P = ___ (Round…

Hypothesis Test for One Population Mean (t-test) Calculator

Hypothesis Test for One Population Mean (t-test) Hypothesis Test for One Population Mean (t-test) Calculator Sample Mean (x̄): Population Mean (μ₀): Sample Size (n): Sample Standard Deviation (s): Significance Level (α): Alternative Hypothesis: μ ≠ μ₀ (Two-tailed)μ < μ₀ (Left-tailed)μ…